The interval arithmetic routines supplied with this package will be used. ************************************************************ Generalized bisection package Test problem no. 1: cubic-parabola......................... total time in ROOTS for this problem: 0.1800000000000000 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 3 Number of leaves: 6 Number of adjusted boxes: 4 Number of boxes deleted due to redundancy: 2 Maximum binary tree level reached: 4 Maximum stack depth reached: 3 Number of ftest calls: 8 Number of interval function calls to determine the range: 22 Number of Jacobian calls: 21 Number of function calls to do the interval Newton method: 21 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 7 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999993D+00 0.100000001D+01 0.999999970D+00 0.100000003D+01 Approximate root: 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.184740528D-07 Interval residual vector: -0.147532576D-06 0.184097237D-06 -0.470687642D-07 0.523780170D-07 Residual vector at approx. root: 0.182823299D-07 0.265462674D-08 Resolved box number: 6 Box added at level: 3 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.139698386D-08 0.232830644D-08 -0.838173271D-08 0.651912543D-08 Approximate root: 0.465661287D-09 -0.931303639D-09 Euclidean norm of residual at approximate root: 0.104124183D-08 Interval residual vector: -0.135040447D-07 0.125726843D-07 -0.651912543D-08 0.838173272D-08 Residual vector at approx. root: -0.465680223D-09 0.931303639D-09 Resolved box number: 5 Box added at level: 4 Reason: underwent expansion step BOX NUMBER 3 Pointer in the linked list 4 Point Newton method succeeded with NITR = 3 Containing intervals for the coordinates: -0.753682961D+00 -0.734871669D+00 0.535426747D+00 0.596081562D+00 Approximate root: -0.750000008D+00 0.562500007D+00 Euclidean norm of residual at approximate root: 0.364753960D-07 Interval residual vector: -0.103948820D+00 0.138192421D+00 -0.560451918D-01 0.326112588D-01 Residual vector at approx. root: -0.362523277D-07 0.402780931D-08 Resolved box number: 2 Box added at level: 4 Reason: test signalled unique root LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 5 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.116627342D-10 Interval residual vector: -0.105830456D-09 0.839084358D-10 -0.470299355D-10 0.390598665D-10 Residual vector at approx. root: -0.109607878D-10 -0.398503452D-11 Resolved box number: 4 Box added at level: 4 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 7 BOX NUMBER 2 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.197093962D-11 0.118256377D-11 -0.212860385D-10 0.165558077D-10 Approximate root: -0.394187924D-12 -0.236511538D-11 Euclidean norm of residual at approximate root: 0.426377745D-11 Interval residual vector: -0.201034990D-10 0.271988573D-10 -0.165558077D-10 0.212860385D-10 Residual vector at approx. root: 0.354767915D-11 0.236511538D-11 Resolved box number: 1 Box added at level: 4 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 6 ************************************************************ Generalized bisection package Test problem no. 2 -- a counterexample to a method of Branin total time in ROOTS for this problem: 0.6200000000000000 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 1 Number of leaves: 24 Number of adjusted boxes: 4 Number of boxes deleted due to redundancy: 3 Maximum binary tree level reached: 9 Maximum stack depth reached: 5 Number of ftest calls: 41 Number of interval function calls to determine the range: 67 Number of Jacobian calls: 50 Number of function calls to do the interval Newton method: 50 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.107508457D-06 0.179180761D-06 -0.104588895D-06 0.174314825D-06 Approximate root: 0.358361522D-07 0.348629650D-07 Euclidean norm of residual at approximate root: 0.402004344D-06 Interval residual vector: -0.848389407D-06 0.141398234D-05 -0.857148295D-06 0.142858028D-05 Residual vector at approx. root: 0.282796469D-06 0.285716030D-06 Resolved box number: 21 Box added at level: 6 Reason: underwent expansion step LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 5 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.959985050D-08 0.159997508D-07 -0.160012338D-07 0.960074028D-08 Approximate root: 0.319995017D-08 -0.320024676D-08 Euclidean norm of residual at approximate root: 0.191994044D-07 Interval residual vector: -0.102404337D-06 0.102401964D-06 -0.832001893D-07 0.121598997D-06 Residual vector at approx. root: -0.118638034D-11 0.191994043D-07 Resolved box number: 7 Box added at level: 6 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 6 BOX NUMBER 2 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.133603154D-09 0.801618923D-10 -0.801622832D-10 0.133603805D-09 Approximate root: -0.267206308D-10 0.267207611D-10 Euclidean norm of residual at approximate root: 0.160323654D-09 Interval residual vector: -0.855061748D-09 0.855062790D-09 -0.101538436D-08 0.694737051D-09 Residual vector at approx. root: 0.521144644D-15 -0.160323654D-09 Resolved box number: 3 Box added at level: 3 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 5 BOX NUMBER 3 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.743550485D-10 0.446130291D-10 -0.767505691D-10 0.460503415D-10 Approximate root: -0.148710097D-10 -0.153501138D-10 Euclidean norm of residual at approximate root: 0.169943197D-09 Interval residual vector: -0.604422470D-09 0.362653482D-09 -0.597235908D-09 0.358341545D-09 Residual vector at approx. root: -0.120884494D-09 -0.119447182D-09 Resolved box number: 2 Box added at level: 4 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 4 ************************************************************ Generalized bisection package Test problem no. 3 -- Powell's singular function........... total time in ROOTS for this problem: 25.7399999999999984 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 8 Number of leaves: 764 Number of adjusted boxes: 9 Number of boxes deleted due to redundancy: 36 Maximum binary tree level reached: 74 Maximum stack depth reached: 55 Number of ftest calls: 1191 Number of interval function calls to determine the range: 1961 Number of Jacobian calls: 1287 Number of function calls to do the interval Newton method: 1262 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 43 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.692890776D-06 0.134055271D-05 -0.264743363D-06 0.130408643D-06 -0.207784479D-06 0.346307466D-06 -0.402544110D-06 0.670906849D-06 Approximate root: 0.101672174D-05 -0.671673598D-07 0.692614931D-07 0.134181370D-06 Euclidean norm of residual at approximate root: 0.374340985D-06 Interval residual vector: -0.195454285D-05 0.264463914D-05 -0.196481356D-05 0.167448304D-05 -0.220038247D-12 0.916534903D-12 -0.417001442D-11 0.105191926D-10 Residual vector at approx. root: 0.345048143D-06 -0.145165259D-06 0.423085185D-13 0.246302698D-11 Resolved box number: 666 Box added at level: 54 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 42 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.139988336D-05 0.268567287D-05 -0.530385724D-06 0.260479829D-06 -0.416278055D-06 0.693796758D-06 -0.806455741D-06 0.134409290D-05 Approximate root: 0.204277812D-05 -0.134952947D-06 0.138759352D-06 0.268818580D-06 Euclidean norm of residual at approximate root: 0.751778358D-06 Interval residual vector: -0.390397388D-05 0.529047116D-05 -0.393630916D-05 0.335466661D-05 -0.883151750D-12 0.367864437D-11 -0.166333092D-10 0.422201295D-10 Residual vector at approx. root: 0.693248644D-06 -0.290821279D-06 0.170132863D-12 0.995147433D-11 Resolved box number: 664 Box added at level: 52 Reason: underwent expansion step BOX NUMBER 3 Pointer in the linked list 34 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.105869137D-05 0.182188771D-05 -0.391544588D-06 0.234926753D-06 -0.118614783D-05 0.711688700D-06 -0.533376746D-06 0.888961243D-06 Approximate root: 0.144028954D-05 -0.783089176D-07 -0.237229567D-06 0.177792249D-06 Euclidean norm of residual at approximate root: 0.113715780D-05 Interval residual vector: -0.285675451D-05 0.417115524D-05 -0.464008500D-05 0.278405100D-05 -0.185771906D-11 0.689572534D-11 -0.669880352D-11 0.191413680D-10 Residual vector at approx. root: 0.657200365D-06 -0.928017001D-06 0.156934994D-12 0.504035260D-11 Resolved box number: 573 Box added at level: 66 Reason: underwent expansion step BOX NUMBER 4 Pointer in the linked list 33 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.709772000D-06 0.118295333D-05 -0.685960783D-07 0.950125864D-07 -0.124523945D-06 0.207539909D-06 -0.262608718D-06 0.157565231D-06 Approximate root: 0.236590667D-06 0.132082541D-07 0.415079818D-07 -0.525217435D-07 Euclidean norm of residual at approximate root: 0.424414751D-06 Interval residual vector: -0.139573278D-05 0.213307920D-05 -0.630770580D-06 0.105128430D-05 -0.788756142D-13 0.238264342D-12 -0.117884850D-11 0.660805244D-11 Residual vector at approx. root: 0.368673208D-06 0.210256860D-06 0.487311631D-14 0.264322098D-12 Resolved box number: 485 Box added at level: 34 Reason: underwent expansion step BOX NUMBER 5 Pointer in the linked list 12 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.175603187D-05 -0.119354208D-05 -0.233350770D-06 0.388917950D-06 0.115800446D-06 0.898858302D-06 -0.914539905D-06 0.548723943D-06 Approximate root: -0.147478698D-05 0.777835900D-07 0.507329374D-06 -0.182907981D-06 Euclidean norm of residual at approximate root: 0.169348129D-05 Interval residual vector: -0.408953957D-05 0.269563742D-05 -0.968046379D-06 0.405488170D-05 -0.134468954D-11 0.422203927D-11 -0.565219094D-11 0.184904215D-10 Residual vector at approx. root: -0.696951078D-06 0.154341766D-05 0.877735062D-12 0.527768764D-11 Resolved box number: 195 Box added at level: 70 Reason: underwent expansion step BOX NUMBER 6 Pointer in the linked list 7 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.265447323D-05 -0.140716859D-05 -0.264148573D-06 0.529386962D-06 -0.685287267D-06 0.411172360D-06 -0.132482873D-05 0.794897236D-06 Approximate root: -0.203082091D-05 0.132619194D-06 -0.137057453D-06 -0.264965745D-06 Euclidean norm of residual at approximate root: 0.760463439D-06 Interval residual vector: -0.529595897D-05 0.388670103D-05 -0.330979320D-05 0.388181648D-05 -0.870677147D-12 0.360985369D-11 -0.159800050D-10 0.411774919D-10 Residual vector at approx. root: -0.704628969D-06 0.286011639D-06 0.165432629D-12 0.986075500D-11 Resolved box number: 108 Box added at level: 52 Reason: underwent expansion step BOX NUMBER 7 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.132411342D-05 -0.694226749D-06 -0.132277242D-06 0.264074132D-06 -0.341829621D-06 0.205097773D-06 -0.660845119D-06 0.396507071D-06 Approximate root: -0.100917008D-05 0.658984449D-07 -0.683659242D-07 -0.132169024D-06 Euclidean norm of residual at approximate root: 0.378132460D-06 Interval residual vector: -0.264688584D-05 0.194651457D-05 -0.165097105D-05 0.193630719D-05 -0.216644065D-12 0.898198548D-12 -0.401013803D-11 0.102458850D-10 Residual vector at approx. root: -0.350185635D-06 0.142668069D-06 0.410590358D-13 0.243220538D-11 Resolved box number: 106 Box added at level: 54 Reason: underwent expansion step BOX NUMBER 8 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.119209290D-05 0.715255737D-06 -0.144081427D-06 0.864488559D-07 -0.583239655D-06 0.349943793D-06 -0.649955151D-06 0.389973091D-06 Approximate root: -0.238418579D-06 -0.288162853D-07 -0.116647931D-06 -0.129991030D-06 Euclidean norm of residual at approximate root: 0.527426010D-06 Interval residual vector: -0.263290716D-05 0.157974430D-05 -0.217616988D-05 0.223584203D-05 -0.336136006D-12 0.158311504D-11 -0.490030920D-11 0.876993038D-11 Residual vector at approx. root: -0.526581432D-06 0.298360770D-07 0.418118974D-13 0.371774263D-13 Resolved box number: 77 Box added at level: 74 Reason: underwent expansion step LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 46 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.941827188D-06 0.188365438D-05 0.000000000D+00 0.125266422D-06 0.000000000D+00 0.349200807D-06 0.000000000D+00 0.422042657D-06 Approximate root: 0.141274078D-05 0.626332110D-07 0.174600404D-06 0.211021329D-06 Euclidean norm of residual at approximate root: 0.204069858D-05 Interval residual vector: 0.941827188D-06 0.313631860D-05 -0.943716080D-06 0.780836751D-06 -0.174972543D-12 0.503456492D-12 -0.222284885D-11 0.117835126D-10 Residual vector at approx. root: 0.203907289D-05 -0.814396647D-07 0.821209873D-13 0.456673901D-11 Resolved box number: 699 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 43 BOX NUMBER 2 Pointer in the linked list 45 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.941827188D-06 0.000000000D+00 0.125266422D-06 0.000000000D+00 0.349200807D-06 0.000000000D+00 0.422042657D-06 Approximate root: 0.470913594D-06 0.626332110D-07 0.174600404D-06 0.211021329D-06 Euclidean norm of residual at approximate root: 0.110026386D-05 Interval residual vector: 0.000000000D+00 0.219449141D-05 -0.943716080D-06 0.780836751D-06 -0.174972543D-12 0.503456492D-12 -0.251395539D-11 0.336832684D-11 Residual vector at approx. root: 0.109724570D-05 -0.814396647D-07 0.821209873D-13 0.213592862D-12 Resolved box number: 698 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 43 BOX NUMBER 3 Pointer in the linked list 44 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.915039109D-06 -0.141701187D-06 0.000000000D+00 0.000000000D+00 0.338295821D-06 0.000000000D+00 0.375060100D-06 Approximate root: 0.457519555D-06 -0.708505933D-07 0.169147911D-06 0.187530050D-06 Euclidean norm of residual at approximate root: 0.254329860D-06 Interval residual vector: -0.141701187D-05 0.915039109D-06 -0.838659889D-06 0.756452460D-06 0.000000000D+00 0.669603154D-12 -0.217055361D-11 0.309260213D-11 Residual vector at approx. root: -0.250986378D-06 -0.411037143D-07 0.167400788D-12 0.230512131D-12 Resolved box number: 667 Box added at level: 54 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 43 BOX NUMBER 4 Pointer in the linked list 39 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.470083882D-06 0.955965801D-06 -0.202751822D-06 0.121651093D-06 -0.590614153D-06 0.354368492D-06 -0.269094072D-06 0.448490120D-06 Approximate root: 0.713024841D-06 -0.405503644D-07 -0.118122831D-06 0.896980240D-07 Euclidean norm of residual at approximate root: 0.557240369D-06 Interval residual vector: -0.155743434D-05 0.217247673D-05 -0.232350781D-05 0.139410469D-05 -0.478992382D-12 0.172380404D-11 -0.201280102D-11 0.515294243D-11 Residual vector at approx. root: 0.307521197D-06 -0.464701562D-06 0.382966491D-13 0.122865975D-11 Resolved box number: 584 Box added at level: 69 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 43 BOX NUMBER 5 Pointer in the linked list 41 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.122176709D-05 0.000000000D+00 0.350042808D-06 -0.110240591D-05 0.000000000D+00 0.000000000D+00 0.416674401D-06 Approximate root: 0.610883545D-06 0.175021404D-06 -0.551202957D-06 0.208337200D-06 Euclidean norm of residual at approximate root: 0.290848554D-05 Interval residual vector: 0.000000000D+00 0.472219518D-05 -0.339676688D-05 0.000000000D+00 0.000000000D+00 0.652728221D-11 -0.321969873D-11 0.526940573D-11 Residual vector at approx. root: 0.236109759D-05 -0.169838344D-05 0.163182055D-11 0.512426748D-12 Resolved box number: 633 Box added at level: 25 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 39 BOX NUMBER 6 Pointer in the linked list 40 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.130457920D-05 -0.116456779D-06 0.000000000D+00 -0.474459134D-06 -0.247205210D-06 0.000000000D+00 0.473444129D-06 Approximate root: 0.652289602D-06 -0.582283893D-07 -0.360832172D-06 0.236722064D-06 Euclidean norm of residual at approximate root: 0.133800454D-05 Interval residual vector: -0.116456779D-05 0.130457920D-05 -0.211957615D-05 -0.552767659D-06 0.234257339D-13 0.914008059D-12 -0.390633226D-11 0.609078795D-11 Residual vector at approx. root: 0.700057088D-07 -0.133617191D-05 0.440147265D-12 0.546113921D-12 Resolved box number: 585 Box added at level: 68 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 39 BOX NUMBER 7 Pointer in the linked list 38 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.326144801D-06 0.652289602D-06 -0.582283893D-07 0.000000000D+00 -0.117743990D-06 0.000000000D+00 0.000000000D+00 0.143382236D-06 Approximate root: 0.489217201D-06 -0.291141946D-07 -0.588719952D-07 0.716911181D-07 Euclidean norm of residual at approximate root: 0.352799435D-06 Interval residual vector: -0.256139092D-06 0.652289602D-06 -0.583895999D-06 0.000000000D+00 -0.274241716D-13 0.588451343D-13 -0.255142208D-12 0.141050295D-11 Residual vector at approx. root: 0.198075255D-06 -0.291948000D-06 0.785524068D-14 0.551273646D-12 Resolved box number: 582 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 33 BOX NUMBER 8 Pointer in the linked list 37 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.326144801D-06 -0.582283893D-07 0.000000000D+00 -0.117743990D-06 0.000000000D+00 0.000000000D+00 0.143382236D-06 Approximate root: 0.163072400D-06 -0.291141946D-07 -0.588719952D-07 0.716911181D-07 Euclidean norm of residual at approximate root: 0.318803142D-06 Interval residual vector: -0.582283893D-06 0.326144801D-06 -0.583895999D-06 0.000000000D+00 -0.274241716D-13 0.588451343D-13 -0.295757525D-12 0.401384420D-12 Residual vector at approx. root: -0.128069546D-06 -0.291948000D-06 0.785524068D-14 0.264067237D-13 Resolved box number: 581 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 33 BOX NUMBER 9 Pointer in the linked list 36 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.326144801D-06 0.652289602D-06 -0.116456779D-06 -0.582283893D-07 -0.115246021D-06 0.000000000D+00 0.000000000D+00 0.229299263D-06 Approximate root: 0.489217201D-06 -0.873425839D-07 -0.576230105D-07 0.114649631D-06 Euclidean norm of residual at approximate root: 0.544063963D-06 Interval residual vector: -0.838422985D-06 0.700057088D-07 -0.770426684D-06 0.000000000D+00 -0.502941760D-13 0.666887626D-13 -0.609587889D-12 0.151175809D-11 Residual vector at approx. root: -0.384208638D-06 -0.385213342D-06 0.778601795D-15 0.443670300D-12 Resolved box number: 579 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 33 BOX NUMBER 10 Pointer in the linked list 35 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.326144801D-06 -0.116456779D-06 -0.582283893D-07 -0.115246021D-06 0.000000000D+00 0.000000000D+00 0.229299263D-06 Approximate root: 0.163072400D-06 -0.873425839D-07 -0.576230105D-07 0.114649631D-06 Euclidean norm of residual at approximate root: 0.808078788D-06 Interval residual vector: -0.116456779D-05 -0.256139092D-06 -0.770426684D-06 0.000000000D+00 -0.502941760D-13 0.666887626D-13 -0.472980366D-12 0.502639560D-12 Residual vector at approx. root: -0.710353439D-06 -0.385213342D-06 0.778601795D-15 0.741479853D-14 Resolved box number: 578 Box added at level: 72 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 33 BOX NUMBER 11 Pointer in the linked list 32 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.478542904D-06 0.957085808D-06 -0.724282901D-08 0.418565349D-07 0.118506612D-06 0.175808695D-06 -0.158328728D-06 0.000000000D+00 Approximate root: 0.717814356D-06 0.173068529D-07 0.147157654D-06 -0.791643641D-07 Euclidean norm of residual at approximate root: 0.102458801D-05 Interval residual vector: 0.406114614D-06 0.137565116D-05 0.264988843D-06 0.747154000D-06 0.267402971D-13 0.130480168D-12 0.724172063D-12 0.393434648D-11 Residual vector at approx. root: 0.890882885D-06 0.506071421D-06 0.767336836D-13 0.200859998D-11 Resolved box number: 484 Box added at level: 35 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 12 Pointer in the linked list 31 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.478542904D-06 -0.724282901D-08 0.418565349D-07 0.118506612D-06 0.175808695D-06 -0.158328728D-06 0.000000000D+00 Approximate root: 0.239271452D-06 0.173068529D-07 0.147157654D-06 -0.791643641D-07 Euclidean norm of residual at approximate root: 0.652788284D-06 Interval residual vector: -0.724282901D-07 0.897108253D-06 0.264988843D-06 0.747154000D-06 0.267402971D-13 0.130480168D-12 0.000000000D+00 0.128263714D-11 Residual vector at approx. root: 0.412339981D-06 0.506071421D-06 0.767336836D-13 0.320659286D-12 Resolved box number: 483 Box added at level: 35 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 13 Pointer in the linked list 30 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.496873693D-06 0.993747386D-06 -0.181030519D-07 0.655920425D-07 -0.192123573D-06 0.000000000D+00 -0.380488465D-06 0.000000000D+00 Approximate root: 0.745310539D-06 0.237444953D-07 -0.960617863D-07 -0.190244232D-06 Euclidean norm of residual at approximate root: 0.100506717D-05 Interval residual vector: 0.315843173D-06 0.164966781D-05 -0.429601373D-06 0.850798080D-06 -0.139120921D-13 0.202355295D-12 0.780714081D-12 0.597203784D-11 Residual vector at approx. root: 0.982755492D-06 0.210598354D-06 0.465990227D-13 0.276782380D-11 Resolved box number: 444 Box added at level: 23 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 14 Pointer in the linked list 29 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.496873693D-06 -0.181030519D-07 0.655920425D-07 -0.192123573D-06 0.000000000D+00 -0.380488465D-06 0.000000000D+00 Approximate root: 0.248436846D-06 0.237444953D-07 -0.960617863D-07 -0.190244232D-06 Euclidean norm of residual at approximate root: 0.529559052D-06 Interval residual vector: -0.181030519D-06 0.115279412D-05 -0.429601373D-06 0.850798080D-06 -0.139120921D-13 0.202355295D-12 0.000000000D+00 0.243420864D-11 Residual vector at approx. root: 0.485881799D-06 0.210598354D-06 0.465990227D-13 0.608552159D-12 Resolved box number: 443 Box added at level: 23 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 15 Pointer in the linked list 28 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.540950117D-06 0.108190023D-05 -0.767688433D-07 -0.181030519D-07 -0.188156952D-06 0.000000000D+00 -0.238253684D-06 0.000000000D+00 Approximate root: 0.811425176D-06 -0.474359476D-07 -0.940784760D-07 -0.119126842D-06 Euclidean norm of residual at approximate root: 0.341687561D-06 Interval residual vector: -0.226738316D-06 0.900869715D-06 -0.420731739D-06 0.532751438D-06 -0.574506458D-13 0.147505610D-12 0.925367929D-12 0.551123769D-11 Residual vector at approx. root: 0.337065700D-06 0.560098495D-07 0.198024011D-13 0.273830182D-11 Resolved box number: 438 Box added at level: 29 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 16 Pointer in the linked list 27 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.540950117D-06 -0.767688433D-07 -0.181030519D-07 -0.188156952D-06 0.000000000D+00 -0.238253684D-06 0.000000000D+00 Approximate root: 0.270475059D-06 -0.474359476D-07 -0.940784760D-07 -0.119126842D-06 Euclidean norm of residual at approximate root: 0.211437837D-06 Interval residual vector: -0.767688433D-06 0.359919598D-06 -0.420731739D-06 0.532751438D-06 -0.574506458D-13 0.147505610D-12 0.000000000D+00 0.192000397D-11 Residual vector at approx. root: -0.203884418D-06 0.560098495D-07 0.198024011D-13 0.480000993D-12 Resolved box number: 437 Box added at level: 29 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 17 Pointer in the linked list 26 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.540950117D-06 0.108190023D-05 -0.134467026D-06 -0.767688433D-07 -0.188156952D-06 0.000000000D+00 -0.343749420D-06 0.000000000D+00 Approximate root: 0.811425176D-06 -0.105617935D-06 -0.940784760D-07 -0.171874710D-06 Euclidean norm of residual at approximate root: 0.300276332D-06 Interval residual vector: -0.803720147D-06 0.314211802D-06 -0.420731739D-06 0.768647078D-06 -0.953101681D-13 0.159693536D-12 0.925367929D-12 0.642725646D-11 Residual vector at approx. root: -0.244754173D-06 0.173957669D-06 0.681268935D-14 0.305753883D-11 Resolved box number: 436 Box added at level: 29 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 18 Pointer in the linked list 25 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.000000000D+00 0.540950117D-06 -0.134467026D-06 -0.767688433D-07 -0.188156952D-06 0.000000000D+00 -0.343749420D-06 0.000000000D+00 Approximate root: 0.270475059D-06 -0.105617935D-06 -0.940784760D-07 -0.171874710D-06 Euclidean norm of residual at approximate root: 0.804731323D-06 Interval residual vector: -0.134467026D-05 -0.226738316D-06 -0.420731739D-06 0.768647078D-06 -0.953101681D-13 0.159693536D-12 0.000000000D+00 0.247509346D-11 Residual vector at approx. root: -0.785704290D-06 0.173957669D-06 0.681268935D-14 0.618773364D-12 Resolved box number: 435 Box added at level: 29 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 19 Pointer in the linked list 24 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.771357855D-06 0.000000000D+00 0.105493761D-06 0.177715140D-06 0.000000000D+00 0.184989958D-06 0.000000000D+00 0.534111218D-06 Approximate root: -0.385678927D-06 0.141604451D-06 0.924949791D-07 0.267055609D-06 Euclidean norm of residual at approximate root: 0.110182135D-05 Interval residual vector: 0.283579753D-06 0.177715140D-05 -0.119430900D-05 0.413650126D-06 -0.120373132D-12 0.168467810D-12 0.000000000D+00 0.538931015D-11 Residual vector at approx. root: 0.103036558D-05 -0.390329439D-06 0.188230227D-14 0.134732754D-11 Resolved box number: 329 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 20 Pointer in the linked list 23 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.154271571D-05 -0.771357855D-06 0.105493761D-06 0.177715140D-06 0.000000000D+00 0.184989958D-06 0.000000000D+00 0.534111218D-06 Approximate root: -0.115703678D-05 0.141604451D-06 0.924949791D-07 0.267055609D-06 Euclidean norm of residual at approximate root: 0.468446445D-06 Interval residual vector: -0.487778102D-06 0.100579355D-05 -0.119430900D-05 0.413650126D-06 -0.120373132D-12 0.168467810D-12 0.188153291D-11 0.136395680D-10 Residual vector at approx. root: 0.259007724D-06 -0.390329439D-06 0.188230227D-14 0.641322291D-11 Resolved box number: 328 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 12 BOX NUMBER 21 Pointer in the linked list 22 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.154271571D-05 -0.771357855D-06 0.105493761D-06 0.177715140D-06 0.243879231D-06 0.393288630D-06 0.000000000D+00 0.489019013D-06 Approximate root: -0.115703678D-05 0.141604451D-06 0.318583931D-06 0.244509506D-06 Euclidean norm of residual at approximate root: 0.307441219D-06 Interval residual vector: -0.487778102D-06 0.100579355D-05 -0.548149221D-06 0.879420120D-06 -0.305361247D-13 0.547375508D-12 0.188153291D-11 0.130537114D-10 Residual vector at approx. root: 0.259007724D-06 0.165635450D-06 0.245583094D-12 0.621176324D-11 Resolved box number: 326 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 12 BOX NUMBER 22 Pointer in the linked list 21 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.771357855D-06 0.000000000D+00 0.274353484D-07 0.105493761D-06 0.000000000D+00 0.187761972D-06 0.000000000D+00 0.293516842D-06 Approximate root: -0.385678927D-06 0.664645546D-07 0.938809858D-07 0.146758421D-06 Euclidean norm of residual at approximate root: 0.302989258D-06 Interval residual vector: -0.497004370D-06 0.105493761D-05 -0.656323617D-06 0.419848536D-06 -0.784781677D-13 0.152147166D-12 0.000000000D+00 0.358589045D-11 Residual vector at approx. root: 0.278966618D-06 -0.118237540D-06 0.147130634D-13 0.896472612D-12 Resolved box number: 325 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 23 Pointer in the linked list 20 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.154271571D-05 -0.771357855D-06 0.274353484D-07 0.105493761D-06 0.000000000D+00 0.187761972D-06 0.000000000D+00 0.293516842D-06 Approximate root: -0.115703678D-05 0.664645546D-07 0.938809858D-07 0.146758421D-06 Euclidean norm of residual at approximate root: 0.506388433D-06 Interval residual vector: -0.126836222D-05 0.283579753D-06 -0.656323617D-06 0.419848536D-06 -0.784781677D-13 0.152147166D-12 0.188153291D-11 0.106624097D-10 Residual vector at approx. root: -0.492391236D-06 -0.118237540D-06 0.147130634D-13 0.537549870D-11 Resolved box number: 324 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 12 BOX NUMBER 24 Pointer in the linked list 19 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.154271571D-05 -0.771357855D-06 0.274353484D-07 0.105493761D-06 0.273906341D-06 0.393288630D-06 0.000000000D+00 0.418813144D-06 Approximate root: -0.115703678D-05 0.664645546D-07 0.333597486D-06 0.209406572D-06 Euclidean norm of residual at approximate root: 0.565301730D-06 Interval residual vector: -0.126836222D-05 0.283579753D-06 -0.324021464D-06 0.879420120D-06 0.134893447D-12 0.599773855D-12 0.188153291D-11 0.121671652D-10 Residual vector at approx. root: -0.492391236D-06 0.277699328D-06 0.360877033D-12 0.590450193D-11 Resolved box number: 322 Box added at level: 31 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 12 BOX NUMBER 25 Pointer in the linked list 18 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.541625866D-06 0.000000000D+00 -0.745602646D-07 0.274353484D-07 0.000000000D+00 0.220766013D-06 0.000000000D+00 0.440216568D-06 Approximate root: -0.270812933D-06 -0.235624581D-07 0.110383006D-06 0.220108284D-06 Euclidean norm of residual at approximate root: 0.562740739D-06 Interval residual vector: -0.128722851D-05 0.274353484D-06 -0.984354181D-06 0.493647816D-06 -0.242271699D-13 0.266351252D-12 0.000000000D+00 0.304848174D-11 Residual vector at approx. root: -0.506437514D-06 -0.245353182D-06 0.596964016D-13 0.762120435D-12 Resolved box number: 316 Box added at level: 21 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 26 Pointer in the linked list 17 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.108325173D-05 -0.541625866D-06 -0.745602646D-07 0.274353484D-07 0.000000000D+00 0.220766013D-06 0.000000000D+00 0.440216568D-06 Approximate root: -0.812438800D-06 -0.235624581D-07 0.110383006D-06 0.220108284D-06 Euclidean norm of residual at approximate root: 0.107639910D-05 Interval residual vector: -0.182885438D-05 -0.267272382D-06 -0.984354181D-06 0.493647816D-06 -0.242271699D-13 0.266351252D-12 0.927681293D-12 0.733950629D-11 Residual vector at approx. root: -0.104806338D-05 -0.245353182D-06 0.596964016D-13 0.337147336D-11 Resolved box number: 315 Box added at level: 21 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 27 Pointer in the linked list 16 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.139978787D-05 0.000000000D+00 -0.100639451D-06 0.392619067D-07 -0.235843630D-06 0.000000000D+00 0.000000000D+00 0.345995610D-06 Approximate root: -0.699893936D-06 -0.306887719D-07 -0.117921815D-06 0.172997805D-06 Euclidean norm of residual at approximate root: 0.119865776D-05 Interval residual vector: -0.240618238D-05 0.392619067D-06 -0.130103211D-05 0.000000000D+00 -0.949406935D-13 0.269655853D-12 0.000000000D+00 0.963786333D-11 Residual vector at approx. root: -0.100678166D-05 -0.650516053D-06 0.420885159D-13 0.240946583D-11 Resolved box number: 283 Box added at level: 29 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 28 Pointer in the linked list 15 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.129260575D-05 0.000000000D+00 0.232913557D-06 0.465827114D-06 0.000000000D+00 0.605211606D-06 -0.949095468D-06 0.000000000D+00 Approximate root: -0.646302874D-06 0.349370336D-06 0.302605803D-06 -0.474547734D-06 Euclidean norm of residual at approximate root: 0.333579491D-05 Interval residual vector: 0.103652982D-05 0.465827114D-05 0.000000000D+00 0.347553631D-05 -0.107344718D-11 0.168211925D-11 -0.775900402D-11 0.813215073D-11 Residual vector at approx. root: 0.284740048D-05 0.173776816D-05 0.654547556D-13 0.932866789D-13 Resolved box number: 198 Box added at level: 69 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 29 Pointer in the linked list 14 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.258521150D-05 -0.129260575D-05 0.232913557D-06 0.465827114D-06 0.000000000D+00 0.605211606D-06 -0.949095468D-06 0.000000000D+00 Approximate root: -0.193890862D-05 0.349370336D-06 0.302605803D-06 -0.474547734D-06 Euclidean norm of residual at approximate root: 0.233178576D-05 Interval residual vector: -0.256075924D-06 0.336566540D-05 0.000000000D+00 0.347553631D-05 -0.107344718D-11 0.168211925D-11 -0.102343808D-10 0.239830325D-10 Residual vector at approx. root: 0.155479474D-05 0.173776816D-05 0.654547556D-13 0.678103916D-11 Resolved box number: 197 Box added at level: 69 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 30 Pointer in the linked list 13 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.154509820D-05 -0.140447575D-05 0.000000000D+00 0.155567180D-06 0.000000000D+00 0.284568278D-06 -0.507972352D-06 0.000000000D+00 Approximate root: -0.147478698D-05 0.777835900D-07 0.142284139D-06 -0.253986176D-06 Euclidean norm of residual at approximate root: 0.112733830D-05 Interval residual vector: -0.154509820D-05 0.151196045D-06 0.000000000D+00 0.177217474D-05 -0.177077938D-12 0.348117567D-12 0.127382185D-11 0.836537673D-11 Residual vector at approx. root: -0.696951078D-06 0.886087371D-06 0.427599072D-13 0.471291514D-11 Resolved box number: 196 Box added at level: 70 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 12 BOX NUMBER 31 Pointer in the linked list 11 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.127326005D-05 0.000000000D+00 0.000000000D+00 0.232913557D-06 0.000000000D+00 0.300948795D-06 -0.473543367D-06 0.000000000D+00 Approximate root: -0.636630027D-06 0.116456779D-06 0.150474397D-06 -0.236771683D-06 Euclidean norm of residual at approximate root: 0.101415774D-05 Interval residual vector: -0.127326005D-05 0.232913557D-05 0.000000000D+00 0.173181714D-05 -0.280380217D-12 0.416529433D-12 -0.381335174D-11 0.583577632D-11 Residual vector at approx. root: 0.527937759D-06 0.865908569D-06 0.340373040D-13 0.505606145D-12 Resolved box number: 194 Box added at level: 70 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 32 Pointer in the linked list 10 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.173034154D-05 -0.115599626D-05 -0.129823318D-06 0.000000000D+00 0.000000000D+00 0.819362147D-06 -0.307729344D-06 0.000000000D+00 Approximate root: -0.144316890D-05 -0.649116588D-07 0.409681074D-06 -0.153864672D-06 Euclidean norm of residual at approximate root: 0.244245320D-05 Interval residual vector: -0.302857472D-05 -0.115599626D-05 0.000000000D+00 0.252025322D-05 0.000000000D+00 0.312776066D-11 0.858158768D-12 0.976757758D-11 Residual vector at approx. root: -0.209228549D-05 0.126012661D-05 0.781940164D-12 0.525667128D-11 Resolved box number: 142 Box added at level: 27 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 33 Pointer in the linked list 9 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.820348340D-06 0.000000000D+00 -0.580207293D-07 0.000000000D+00 0.000000000D+00 0.315732365D-06 -0.134407605D-06 0.000000000D+00 Approximate root: -0.410174170D-06 -0.290103647D-07 0.157866183D-06 -0.672038023D-07 Euclidean norm of residual at approximate root: 0.862363912D-06 Interval residual vector: -0.140055563D-05 0.000000000D+00 0.000000000D+00 0.100654358D-05 0.000000000D+00 0.475390199D-12 -0.697352142D-12 0.218525027D-11 Residual vector at approx. root: -0.700277816D-06 0.503271791D-06 0.118847550D-12 0.371974532D-12 Resolved box number: 141 Box added at level: 28 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 34 Pointer in the linked list 8 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.820348340D-06 0.000000000D+00 -0.116041459D-06 -0.580207293D-07 0.000000000D+00 0.315732365D-06 -0.134407605D-06 0.000000000D+00 Approximate root: -0.410174170D-06 -0.870310940D-07 0.157866183D-06 -0.672038023D-07 Euclidean norm of residual at approximate root: 0.137583597D-05 Interval residual vector: -0.198076293D-05 -0.580207293D-06 0.000000000D+00 0.100654358D-05 0.336640503D-14 0.558765503D-12 -0.697352142D-12 0.218525027D-11 Residual vector at approx. root: -0.128048511D-05 0.503271791D-06 0.162218404D-12 0.371974532D-12 Resolved box number: 140 Box added at level: 28 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 6 BOX NUMBER 35 Pointer in the linked list 5 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.451248081D-06 0.000000000D+00 0.000000000D+00 0.708505933D-07 -0.165092351D-06 0.000000000D+00 -0.319359960D-06 0.000000000D+00 Approximate root: -0.225624041D-06 0.354252967D-07 -0.825461753D-07 -0.159679980D-06 Euclidean norm of residual at approximate root: 0.215159291D-06 Interval residual vector: -0.451248081D-06 0.708505933D-06 -0.369157722D-06 0.714110588D-06 0.000000000D+00 0.160829307D-12 -0.911435265D-12 0.966441444D-12 Residual vector at approx. root: 0.128628926D-06 0.172476433D-06 0.402073269D-13 0.137515448D-13 Resolved box number: 104 Box added at level: 56 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 BOX NUMBER 36 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.902496162D-06 -0.451248081D-06 0.000000000D+00 0.708505933D-07 -0.165092351D-06 0.000000000D+00 -0.319359960D-06 0.000000000D+00 Approximate root: -0.676872122D-06 0.354252967D-07 -0.825461753D-07 -0.159679980D-06 Euclidean norm of residual at approximate root: 0.365829522D-06 Interval residual vector: -0.902496162D-06 0.257257852D-06 -0.369157722D-06 0.714110588D-06 0.000000000D+00 0.160829307D-12 -0.117895227D-11 0.289819623D-11 Residual vector at approx. root: -0.322619155D-06 0.172476433D-06 0.402073269D-13 0.845870435D-12 Resolved box number: 103 Box added at level: 56 Reason: 19 Reason box deleted: 1 Pointer of intersecting box: 3 ************************************************************ Generalized bisection package Test problem no. 4 -- Brown's almost linear system........ total time in ROOTS for this problem: 2.2330000000000001E+02 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 2 Number of leaves: 3747 Number of adjusted boxes: 32 Number of boxes deleted due to redundancy: 31 Maximum binary tree level reached: 36 Maximum stack depth reached: 17 Number of ftest calls: 6632 Number of interval function calls to determine the range: 8607 Number of Jacobian calls: 6415 Number of function calls to do the interval Newton method: 6381 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 35 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999972D+00 0.100000005D+01 0.999999972D+00 0.100000005D+01 0.999999972D+00 0.100000005D+01 0.999999972D+00 0.100000005D+01 0.999999575D+00 0.100000071D+01 Approximate root: 0.100000001D+01 0.100000001D+01 0.100000001D+01 0.100000001D+01 0.100000014D+01 Euclidean norm of residual at approximate root: 0.418042559D-06 Interval residual vector: -0.566413933D-06 0.944023220D-06 -0.566413235D-06 0.944022058D-06 -0.566412535D-06 0.944020890D-06 -0.566411838D-06 0.944019731D-06 -0.538091041D-06 0.896818638D-06 Residual vector at approx. root: 0.188804641D-06 0.188804409D-06 0.188804176D-06 0.188803944D-06 0.179363703D-06 Resolved box number: 3737 Box added at level: 21 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 5 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: 0.909293089D+00 0.923409584D+00 0.910090163D+00 0.922632877D+00 0.910862839D+00 0.921860456D+00 0.911610809D+00 0.921083055D+00 0.140102455D+01 0.143311273D+01 Approximate root: 0.916354579D+00 0.916354579D+00 0.916354579D+00 0.916354579D+00 0.141822710D+01 Euclidean norm of residual at approximate root: 0.287442636D-08 Interval residual vector: -0.478254633D-01 0.455082858D-01 -0.470283895D-01 0.447315784D-01 -0.462557134D-01 0.439591572D-01 -0.455077435D-01 0.431817567D-01 -0.372877336D-01 0.367347033D-01 Residual vector at approx. root: 0.888178420D-15 0.888178420D-15 0.000000000D+00 -0.888178420D-15 -0.287442636D-08 Resolved box number: 590 Box added at level: 28 Reason: test signalled unique root LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 34 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999993D+00 0.100000001D+01 0.999999993D+00 0.100000001D+01 0.999999993D+00 0.100000001D+01 0.999999993D+00 0.100000001D+01 0.999999941D+00 0.100000004D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.999999988D+00 Euclidean norm of residual at approximate root: 0.236704898D-08 Interval residual vector: -0.947273824D-07 0.947300123D-07 -0.947273504D-07 0.947299572D-07 -0.947273184D-07 0.947299039D-07 -0.947272847D-07 0.947298489D-07 -0.876222900D-07 0.828881996D-07 Residual vector at approx. root: 0.131450406D-11 0.130384592D-11 0.129318778D-11 0.128164146D-11 -0.236704756D-08 Resolved box number: 3736 Box added at level: 12 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 35 BOX NUMBER 2 Pointer in the linked list 33 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999995D+00 0.100000001D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.476475479D-08 Interval residual vector: -0.945123624D-08 0.140153738D-07 -0.945123624D-08 0.140153720D-07 -0.945123357D-08 0.140153702D-07 -0.103446638D-07 0.137677372D-07 -0.871651784D-08 0.127908457D-07 Residual vector at approx. root: 0.228206787D-08 0.228206787D-08 0.228206698D-08 0.171153580D-08 0.203716377D-08 Resolved box number: 3713 Box added at level: 25 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 34 BOX NUMBER 3 Pointer in the linked list 32 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000002D+01 0.999999990D+00 0.100000002D+01 0.999999990D+00 0.100000002D+01 0.999999989D+00 0.100000001D+01 0.999999914D+00 0.100000005D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.999999998D+00 0.999999983D+00 Euclidean norm of residual at approximate root: 0.172913018D-07 Interval residual vector: -0.137893252D-06 0.126740244D-06 -0.137893189D-06 0.126740139D-06 -0.137893127D-06 0.126740034D-06 -0.138283727D-06 0.115973406D-06 -0.127579690D-06 0.109550987D-06 Residual vector at approx. root: -0.557650459D-08 -0.557652591D-08 -0.557654634D-08 -0.111551604D-07 -0.901435526D-08 Resolved box number: 3677 Box added at level: 15 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 33 BOX NUMBER 4 Pointer in the linked list 31 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999995D+00 0.100000001D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.476475301D-08 Interval residual vector: -0.945123713D-08 0.140153720D-07 -0.945123535D-08 0.140153684D-07 -0.103446665D-07 0.137677354D-07 -0.945123180D-08 0.140153649D-07 -0.871651828D-08 0.127908450D-07 Residual vector at approx. root: 0.228206787D-08 0.228206698D-08 0.171153491D-08 0.228206520D-08 0.203716333D-08 Resolved box number: 3636 Box added at level: 25 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 32 BOX NUMBER 5 Pointer in the linked list 30 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000002D+01 0.999999990D+00 0.100000002D+01 0.999999989D+00 0.100000001D+01 0.999999990D+00 0.100000002D+01 0.999999914D+00 0.100000005D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999983D+00 Euclidean norm of residual at approximate root: 0.172913044D-07 Interval residual vector: -0.137893249D-06 0.126740240D-06 -0.137893187D-06 0.126740137D-06 -0.138283727D-06 0.115973405D-06 -0.137893124D-06 0.126740033D-06 -0.127579688D-06 0.109550985D-06 Residual vector at approx. root: -0.557650548D-08 -0.557652680D-08 -0.111551621D-07 -0.557654722D-08 -0.901435637D-08 Resolved box number: 3599 Box added at level: 15 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 31 BOX NUMBER 6 Pointer in the linked list 29 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999998D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.999999999D+00 0.999999999D+00 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753318104D-08 Interval residual vector: -0.222718652D-07 0.302398924D-07 -0.222718564D-07 0.302398799D-07 -0.234475541D-07 0.287594286D-07 -0.234475435D-07 0.287594215D-07 -0.202225993D-07 0.268244524D-07 Residual vector at approx. root: 0.398401223D-08 0.398401045D-08 0.265593680D-08 0.265593858D-08 0.330092620D-08 Resolved box number: 3526 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 30 BOX NUMBER 7 Pointer in the linked list 28 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.683702873D-10 Interval residual vector: -0.272967426D-09 0.224926744D-09 -0.272967426D-09 0.224926744D-09 -0.282080137D-09 0.210013340D-09 -0.282079249D-09 0.210013340D-09 -0.253854271D-09 0.193074445D-09 Residual vector at approx. root: -0.240207854D-10 -0.240207854D-10 -0.360342867D-10 -0.360342867D-10 -0.303901349D-10 Resolved box number: 3392 Box added at level: 20 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 29 BOX NUMBER 8 Pointer in the linked list 27 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999999D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999995D+00 0.100000001D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.476475541D-08 Interval residual vector: -0.945123890D-08 0.140153800D-07 -0.103446656D-07 0.137677398D-07 -0.945123713D-08 0.140153746D-07 -0.945123269D-08 0.140153693D-07 -0.871651917D-08 0.127908479D-07 Residual vector at approx. root: 0.228206876D-08 0.171153580D-08 0.228206787D-08 0.228206698D-08 0.203716422D-08 Resolved box number: 3282 Box added at level: 25 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 28 BOX NUMBER 9 Pointer in the linked list 26 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000002D+01 0.999999989D+00 0.100000001D+01 0.999999990D+00 0.100000002D+01 0.999999990D+00 0.100000002D+01 0.999999914D+00 0.100000005D+01 Approximate root: 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.100000000D+01 0.999999983D+00 Euclidean norm of residual at approximate root: 0.172913028D-07 Interval residual vector: -0.137893246D-06 0.126740239D-06 -0.138283721D-06 0.115973404D-06 -0.137893184D-06 0.126740136D-06 -0.137893123D-06 0.126740034D-06 -0.127579686D-06 0.109550984D-06 Residual vector at approx. root: -0.557650548D-08 -0.111551612D-07 -0.557652591D-08 -0.557654634D-08 -0.901435560D-08 Resolved box number: 3244 Box added at level: 15 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 27 BOX NUMBER 10 Pointer in the linked list 25 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753318208D-08 Interval residual vector: -0.222718652D-07 0.302398906D-07 -0.234475568D-07 0.287594304D-07 -0.222718599D-07 0.302398799D-07 -0.234475444D-07 0.287594215D-07 -0.202226011D-07 0.268244531D-07 Residual vector at approx. root: 0.398401312D-08 0.265593592D-08 0.398401134D-08 0.265593947D-08 0.330092642D-08 Resolved box number: 3178 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 26 BOX NUMBER 11 Pointer in the linked list 24 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.683697205D-10 Interval residual vector: -0.272967426D-09 0.224927632D-09 -0.282080137D-09 0.210013340D-09 -0.272965650D-09 0.224922303D-09 -0.282076584D-09 0.210009787D-09 -0.253853938D-09 0.193073335D-09 Residual vector at approx. root: -0.240207854D-10 -0.360342867D-10 -0.240207854D-10 -0.360333985D-10 -0.303899128D-10 Resolved box number: 3050 Box added at level: 20 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 25 BOX NUMBER 12 Pointer in the linked list 23 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.100000000D+01 0.999999999D+00 0.999999999D+00 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753317795D-08 Interval residual vector: -0.222718617D-07 0.302398862D-07 -0.234475523D-07 0.287594242D-07 -0.234475417D-07 0.287594171D-07 -0.222718528D-07 0.302398719D-07 -0.202225969D-07 0.268244473D-07 Residual vector at approx. root: 0.398401134D-08 0.265593592D-08 0.265593769D-08 0.398400779D-08 0.330092487D-08 Resolved box number: 2956 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 24 BOX NUMBER 13 Pointer in the linked list 22 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.683686442D-10 Interval residual vector: -0.272963874D-09 0.224922303D-09 -0.282076584D-09 0.210009787D-09 -0.282074808D-09 0.210008011D-09 -0.272962097D-09 0.224919638D-09 -0.253850163D-09 0.193069782D-09 Residual vector at approx. root: -0.240198972D-10 -0.360333985D-10 -0.360333985D-10 -0.240207854D-10 -0.303892467D-10 Resolved box number: 2832 Box added at level: 20 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 23 BOX NUMBER 14 Pointer in the linked list 21 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999969D+00 0.100000005D+01 0.999999963D+00 0.100000002D+01 0.999999963D+00 0.100000002D+01 0.999999963D+00 0.100000002D+01 0.999999889D+00 0.100000018D+01 Approximate root: 0.100000001D+01 0.999999993D+00 0.999999993D+00 0.999999993D+00 0.100000004D+01 Euclidean norm of residual at approximate root: 0.528038582D-07 Interval residual vector: -0.282995397D-06 0.353340127D-06 -0.289382839D-06 0.324545659D-06 -0.289382291D-06 0.324545329D-06 -0.289381743D-06 0.324545001D-06 -0.252407617D-06 0.302360562D-06 Residual vector at approx. root: 0.351723637D-07 0.175814083D-07 0.175815185D-07 0.175816286D-07 0.249764469D-07 Resolved box number: 2647 Box added at level: 28 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 22 BOX NUMBER 15 Pointer in the linked list 20 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.999999999D+00 Euclidean norm of residual at approximate root: 0.298472848D-08 Interval residual vector: -0.751274953D-08 0.534595213D-08 -0.827060198D-08 0.538151479D-08 -0.827060020D-08 0.538151301D-08 -0.827059665D-08 0.538151124D-08 -0.711979242D-08 0.469102490D-08 Residual vector at approx. root: -0.108340004D-08 -0.144454404D-08 -0.144454404D-08 -0.144454315D-08 -0.121438404D-08 Resolved box number: 2478 Box added at level: 24 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 21 BOX NUMBER 16 Pointer in the linked list 19 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999998D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999995D+00 0.100000001D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.476475292D-08 Interval residual vector: -0.103446611D-07 0.137677336D-07 -0.945123357D-08 0.140153684D-07 -0.945123357D-08 0.140153684D-07 -0.945122824D-08 0.140153613D-07 -0.871651518D-08 0.127908413D-07 Residual vector at approx. root: 0.171153403D-08 0.228206787D-08 0.228206787D-08 0.228206520D-08 0.203716288D-08 Resolved box number: 2290 Box added at level: 25 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 20 BOX NUMBER 17 Pointer in the linked list 18 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.121011338D-11 Interval residual vector: -0.971400738D-11 0.815170154D-11 -0.968025660D-11 0.890487684D-11 -0.968025660D-11 0.890310048D-11 -0.967936842D-11 0.890310048D-11 -0.894928576D-11 0.768896058D-11 Residual vector at approx. root: -0.782485188D-12 -0.389022148D-12 -0.389022148D-12 -0.389910326D-12 -0.630384633D-12 Resolved box number: 2255 Box added at level: 14 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 19 BOX NUMBER 18 Pointer in the linked list 17 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.999999999D+00 0.100000000D+01 0.100000000D+01 0.999999999D+00 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753317947D-08 Interval residual vector: -0.234475674D-07 0.287594411D-07 -0.222718723D-07 0.302398995D-07 -0.222718644D-07 0.302398862D-07 -0.234475532D-07 0.287594322D-07 -0.202226085D-07 0.268244618D-07 Residual vector at approx. root: 0.265593503D-08 0.398401223D-08 0.398400868D-08 0.265593858D-08 0.330092620D-08 Resolved box number: 2197 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 18 BOX NUMBER 19 Pointer in the linked list 16 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.691443775D-10 Interval residual vector: -0.285279356D-09 0.212395435D-09 -0.276065393D-09 0.227478480D-09 -0.276066281D-09 0.227478480D-09 -0.285280244D-09 0.212395435D-09 -0.256735744D-09 0.195265804D-09 Residual vector at approx. root: -0.364419606D-10 -0.242934561D-10 -0.242925680D-10 -0.364419606D-10 -0.307345260D-10 Resolved box number: 2061 Box added at level: 18 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 17 BOX NUMBER 20 Pointer in the linked list 15 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.999999999D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753317924D-08 Interval residual vector: -0.234475586D-07 0.287594295D-07 -0.222718679D-07 0.302398933D-07 -0.234475479D-07 0.287594224D-07 -0.222718590D-07 0.302398773D-07 -0.202226018D-07 0.268244529D-07 Residual vector at approx. root: 0.265593503D-08 0.398401223D-08 0.265593769D-08 0.398400957D-08 0.330092531D-08 Resolved box number: 1971 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 16 BOX NUMBER 21 Pointer in the linked list 14 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.691482543D-10 Interval residual vector: -0.285283797D-09 0.212397211D-09 -0.276066281D-09 0.227478480D-09 -0.285282020D-09 0.212395435D-09 -0.276065393D-09 0.227476704D-09 -0.256736299D-09 0.195265359D-09 Residual vector at approx. root: -0.364437369D-10 -0.242952325D-10 -0.364437369D-10 -0.242952325D-10 -0.307355252D-10 Resolved box number: 1846 Box added at level: 18 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 15 BOX NUMBER 22 Pointer in the linked list 13 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000001D+01 0.999999992D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999971D+00 0.100000005D+01 Approximate root: 0.999999998D+00 0.100000000D+01 0.999999998D+00 0.999999998D+00 0.100000001D+01 Euclidean norm of residual at approximate root: 0.136680128D-07 Interval residual vector: -0.748960876D-07 0.839985059D-07 -0.732427834D-07 0.914501346D-07 -0.748960156D-07 0.839984633D-07 -0.748959401D-07 0.839984180D-07 -0.653268918D-07 0.782569876D-07 Residual vector at approx. root: 0.455120830D-08 0.910367337D-08 0.455122251D-08 0.455123761D-08 0.646504583D-08 Resolved box number: 1703 Box added at level: 27 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 14 BOX NUMBER 23 Pointer in the linked list 12 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999978D+00 0.100000001D+01 0.999999992D+00 0.100000001D+01 0.999999978D+00 0.100000001D+01 0.999999978D+00 0.100000001D+01 0.999999937D+00 0.100000004D+01 Approximate root: 0.999999996D+00 0.100000000D+01 0.999999996D+00 0.999999996D+00 0.999999987D+00 Euclidean norm of residual at approximate root: 0.571129859D-07 Interval residual vector: -0.158282135D-06 0.103000165D-06 -0.143805101D-06 0.102344824D-06 -0.158281968D-06 0.103000064D-06 -0.158281797D-06 0.102999962D-06 -0.136276139D-06 0.897965702D-07 Residual vector at approx. root: -0.276409855D-07 -0.207301394D-07 -0.276409526D-07 -0.276409180D-07 -0.232397889D-07 Resolved box number: 1503 Box added at level: 23 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 13 BOX NUMBER 24 Pointer in the linked list 11 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999997D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999998D+00 0.100000000D+01 0.999999990D+00 0.100000002D+01 Approximate root: 0.999999999D+00 0.999999999D+00 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.753317732D-08 Interval residual vector: -0.234475541D-07 0.287594268D-07 -0.234475435D-07 0.287594215D-07 -0.222718635D-07 0.302398888D-07 -0.222718546D-07 0.302398728D-07 -0.202225988D-07 0.268244502D-07 Residual vector at approx. root: 0.265593503D-08 0.265593680D-08 0.398401045D-08 0.398400868D-08 0.330092487D-08 Resolved box number: 1394 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 12 BOX NUMBER 25 Pointer in the linked list 10 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.691476796D-10 Interval residual vector: -0.285282908D-09 0.212397211D-09 -0.285284685D-09 0.212398099D-09 -0.276068945D-09 0.227481145D-09 -0.276066281D-09 0.227477592D-09 -0.256738519D-09 0.195266914D-09 Residual vector at approx. root: -0.364437369D-10 -0.364437369D-10 -0.242934561D-10 -0.242952325D-10 -0.307356363D-10 Resolved box number: 1262 Box added at level: 18 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 11 BOX NUMBER 26 Pointer in the linked list 9 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999992D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999971D+00 0.100000005D+01 Approximate root: 0.999999998D+00 0.999999998D+00 0.100000000D+01 0.999999998D+00 0.100000001D+01 Euclidean norm of residual at approximate root: 0.136680134D-07 Interval residual vector: -0.748960902D-07 0.839985095D-07 -0.748960209D-07 0.839984668D-07 -0.732427869D-07 0.914501364D-07 -0.748959463D-07 0.839984224D-07 -0.653268954D-07 0.782569913D-07 Residual vector at approx. root: 0.455120919D-08 0.455122162D-08 0.910367426D-08 0.455123761D-08 0.646504583D-08 Resolved box number: 1143 Box added at level: 27 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 10 BOX NUMBER 27 Pointer in the linked list 8 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999978D+00 0.100000001D+01 0.999999978D+00 0.100000001D+01 0.999999992D+00 0.100000001D+01 0.999999978D+00 0.100000001D+01 0.999999937D+00 0.100000004D+01 Approximate root: 0.999999996D+00 0.999999996D+00 0.100000000D+01 0.999999996D+00 0.999999987D+00 Euclidean norm of residual at approximate root: 0.571129889D-07 Interval residual vector: -0.158282144D-06 0.103000172D-06 -0.158281978D-06 0.103000071D-06 -0.143805113D-06 0.102344833D-06 -0.158281805D-06 0.102999968D-06 -0.136276149D-06 0.897965777D-07 Residual vector at approx. root: -0.276409873D-07 -0.276409535D-07 -0.207301403D-07 -0.276409198D-07 -0.232397902D-07 Resolved box number: 933 Box added at level: 23 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 9 BOX NUMBER 28 Pointer in the linked list 7 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999990D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999990D+00 0.100000001D+01 0.999999992D+00 0.100000001D+01 0.999999971D+00 0.100000005D+01 Approximate root: 0.999999998D+00 0.999999998D+00 0.999999998D+00 0.100000000D+01 0.100000001D+01 Euclidean norm of residual at approximate root: 0.136680104D-07 Interval residual vector: -0.748960796D-07 0.839984926D-07 -0.748960050D-07 0.839984473D-07 -0.748959330D-07 0.839984047D-07 -0.732427727D-07 0.914501159D-07 -0.653268835D-07 0.782569740D-07 Residual vector at approx. root: 0.455120741D-08 0.455122162D-08 0.455123583D-08 0.910367248D-08 0.646504450D-08 Resolved box number: 826 Box added at level: 27 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 8 BOX NUMBER 29 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999997D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999997D+00 0.100000000D+01 0.999999999D+00 0.100000000D+01 0.999999991D+00 0.100000001D+01 Approximate root: 0.999999999D+00 0.999999999D+00 0.999999999D+00 0.100000000D+01 0.999999998D+00 Euclidean norm of residual at approximate root: 0.817163227D-08 Interval residual vector: -0.226442953D-07 0.147345540D-07 -0.226442847D-07 0.147345469D-07 -0.226442758D-07 0.147345416D-07 -0.205704680D-07 0.146382293D-07 -0.194942390D-07 0.128445166D-07 Residual vector at approx. root: -0.395487199D-08 -0.395487021D-08 -0.395486843D-08 -0.296612068D-08 -0.332486194D-08 Resolved box number: 622 Box added at level: 23 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 7 BOX NUMBER 30 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.999999999D+00 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.392998999D-10 Interval residual vector: -0.157229341D-08 0.157227653D-08 -0.157229341D-08 0.157227653D-08 -0.157229341D-08 0.157227653D-08 -0.157229341D-08 0.157227653D-08 -0.137574829D-08 0.145434709D-08 Residual vector at approx. root: -0.799360578D-14 -0.799360578D-14 -0.799360578D-14 -0.799360578D-14 0.392998967D-10 Resolved box number: 438 Box added at level: 29 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 6 BOX NUMBER 31 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.999999946D+00 0.100000003D+01 0.999999946D+00 0.100000003D+01 0.999999946D+00 0.100000003D+01 0.999999946D+00 0.100000003D+01 0.999999910D+00 0.100000005D+01 Approximate root: 0.999999989D+00 0.999999989D+00 0.999999989D+00 0.999999989D+00 0.999999982D+00 Euclidean norm of residual at approximate root: 0.156286124D-06 Interval residual vector: -0.359588992D-06 0.215753400D-06 -0.359588449D-06 0.215753073D-06 -0.359587906D-06 0.215752747D-06 -0.359587359D-06 0.215752419D-06 -0.305645538D-06 0.183387358D-06 Residual vector at approx. root: -0.719177971D-07 -0.719176878D-07 -0.719175794D-07 -0.719174702D-07 -0.611291131D-07 Resolved box number: 350 Box added at level: 26 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 4 ************************************************************ Generalized bisection package Test problem no. 9 -- circle-circle intersection.......... total time in ROOTS for this problem: 0.1000000000000000 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 2 Number of leaves: 3 Number of adjusted boxes: 0 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 3 Maximum stack depth reached: 2 Number of ftest calls: 3 Number of interval function calls to determine the range: 12 Number of Jacobian calls: 12 Number of function calls to do the interval Newton method: 12 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 4 Point Newton method succeeded with NITR = 3 Containing intervals for the coordinates: 0.499997045D+00 0.500000066D+00 0.478687548D+00 0.483766122D+00 Approximate root: 0.499998508D+00 0.482683986D+00 Euclidean norm of residual at approximate root: 0.143458720D-08 Interval residual vector: -0.529977490D-02 0.556778257D-02 -0.521827726D-02 0.535530128D-02 Residual vector at approx. root: 0.101441344D-08 0.101439923D-08 Resolved box number: 3 Box added at level: 2 Reason: test signalled unique root BOX NUMBER 2 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.499989058D+00 0.499989504D+00 0.546178836D+00 0.546646168D+00 Approximate root: 0.499989281D+00 0.546412502D+00 Euclidean norm of residual at approximate root: 0.155499915D-05 Interval residual vector: -0.545787365D-03 0.548902134D-03 -0.534163713D-03 0.533473758D-03 Residual vector at approx. root: 0.150278423D-05 -0.399577189D-06 Resolved box number: 1 Box added at level: 3 Reason: test signalled unique root No boxes were deleted from the list. ************************************************************ Generalized bisection package Test problem no. 10 -- A combustion chemistry problem..... total time in ROOTS for this problem: 2.4800000000000000 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 1 Number of leaves: 50 Number of adjusted boxes: 0 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 22 Maximum stack depth reached: 21 Number of ftest calls: 87 Number of interval function calls to determine the range: 140 Number of Jacobian calls: 112 Number of function calls to do the interval Newton method: 112 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.158798143D-03 0.158799788D-03 0.252170590D-07 0.252170590D-07 0.147861787D+00 0.147861788D+00 0.384528006D+00 0.384528006D+00 Approximate root: 0.158798965D-03 0.252170590D-07 0.147861788D+00 0.384528006D+00 Euclidean norm of residual at approximate root: 0.857366506D-05 Interval residual vector: -0.173861386D-08 0.173473047D-08 -0.113504950D-01 0.113333477D-01 -0.208712194D-12 0.313567458D-12 -0.677777001D-10 0.677781442D-10 Residual vector at approx. root: -0.194178007D-11 -0.857366506D-05 0.524269559D-13 0.222044605D-15 Resolved box number: 43 Box added at level: 8 Reason: test signalled unique root No boxes were deleted from the list. ************************************************************ Generalized bisection package Test problem no. 11 -- a robot kinematics problem......... total time in ROOTS for this problem: 20.9200000000000017 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 16 Number of leaves: 139 Number of adjusted boxes: 16 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 11 Maximum stack depth reached: 9 Number of ftest calls: 229 Number of interval function calls to determine the range: 461 Number of Jacobian calls: 370 Number of function calls to do the interval Newton method: 280 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 18 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 0.954729770D+00 0.954729770D+00 0.297474481D+00 0.297474481D+00 0.128778236D+00 0.128778236D+00 0.991673417D+00 0.991673417D+00 0.969311808D+00 0.969311808D+00 -0.245834536D+00 -0.245834536D+00 Approximate root: 0.671554262D+00 0.740955379D+00 0.954729770D+00 0.297474481D+00 0.128778236D+00 0.991673417D+00 0.969311808D+00 -0.245834536D+00 Euclidean norm of residual at approximate root: 0.544011883D-13 Interval residual vector: -0.290878432D-13 0.290878432D-13 -0.160982339D-13 0.162092562D-13 -0.135638462D-12 0.135492312D-12 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.165423231D-13 0.170974346D-13 -0.540265610D-10 0.541353629D-10 -0.642819131D-13 0.646149800D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 0.238524478D-16 -0.555111512D-16 0.000000000D+00 -0.111022302D-15 0.544009282D-13 0.000000000D+00 Resolved box number: 138 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 17 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 0.954729770D+00 0.954729770D+00 0.297474481D+00 0.297474481D+00 0.128778236D+00 0.128778236D+00 -0.991673417D+00 -0.991673417D+00 0.969311808D+00 0.969311808D+00 0.245834536D+00 0.245834536D+00 Approximate root: 0.671554262D+00 0.740955379D+00 0.954729770D+00 0.297474481D+00 0.128778236D+00 -0.991673417D+00 0.969311808D+00 0.245834536D+00 Euclidean norm of residual at approximate root: 0.544011883D-13 Interval residual vector: -0.290878432D-13 0.290878432D-13 -0.160982339D-13 0.162092562D-13 -0.135638462D-12 0.135492312D-12 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.165423231D-13 0.170974346D-13 -0.540265610D-10 0.541353629D-10 -0.642819131D-13 0.646149800D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 0.238524478D-16 -0.555111512D-16 0.000000000D+00 -0.111022302D-15 0.544009282D-13 0.000000000D+00 Resolved box number: 136 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 3 Pointer in the linked list 16 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 0.954729770D+00 0.954729770D+00 0.297474481D+00 0.297474481D+00 -0.128778236D+00 -0.128778236D+00 0.991673417D+00 0.991673417D+00 0.969311808D+00 0.969311808D+00 -0.245834536D+00 -0.245834536D+00 Approximate root: 0.671554262D+00 0.740955379D+00 0.954729770D+00 0.297474481D+00 -0.128778236D+00 0.991673417D+00 0.969311808D+00 -0.245834536D+00 Euclidean norm of residual at approximate root: 0.544011883D-13 Interval residual vector: -0.290878432D-13 0.290878432D-13 -0.160982339D-13 0.162092562D-13 -0.135638462D-12 0.135492312D-12 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.165423231D-13 0.170974346D-13 -0.540265610D-10 0.541353629D-10 -0.642819131D-13 0.646149800D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 0.238524478D-16 -0.555111512D-16 0.000000000D+00 -0.111022302D-15 0.544009282D-13 0.000000000D+00 Resolved box number: 132 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 4 Pointer in the linked list 15 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 0.954729770D+00 0.954729770D+00 0.297474481D+00 0.297474481D+00 -0.128778236D+00 -0.128778236D+00 -0.991673417D+00 -0.991673417D+00 0.969311808D+00 0.969311808D+00 0.245834536D+00 0.245834536D+00 Approximate root: 0.671554262D+00 0.740955379D+00 0.954729770D+00 0.297474481D+00 -0.128778236D+00 -0.991673417D+00 0.969311808D+00 0.245834536D+00 Euclidean norm of residual at approximate root: 0.544011883D-13 Interval residual vector: -0.290878432D-13 0.290878432D-13 -0.160982339D-13 0.162092562D-13 -0.135638462D-12 0.135492312D-12 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.165423231D-13 0.170974346D-13 -0.540265610D-10 0.541353629D-10 -0.642819131D-13 0.646149800D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 0.238524478D-16 -0.555111512D-16 0.000000000D+00 -0.111022302D-15 0.544009282D-13 0.000000000D+00 Resolved box number: 130 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 5 Pointer in the linked list 14 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 -0.239611659D+00 -0.239611659D+00 -0.970868813D+00 -0.970868813D+00 0.957917022D+00 0.957917184D+00 0.287044989D+00 0.287044989D+00 -0.527909026D+00 -0.527909026D+00 -0.849300924D+00 -0.849300924D+00 Approximate root: 0.671554262D+00 0.740955379D+00 -0.239611659D+00 -0.970868813D+00 0.957917103D+00 0.287044989D+00 -0.527909026D+00 -0.849300924D+00 Euclidean norm of residual at approximate root: 0.245174925D-08 Interval residual vector: -0.143218770D-13 0.147659662D-13 -0.988098492D-14 0.988098492D-14 -0.704688044D-14 0.701175229D-14 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.121014310D-13 0.119904087D-13 -0.153233696D-06 0.158137208D-06 -0.215383267D-13 0.206501483D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 -0.390312782D-17 -0.555111512D-16 0.000000000D+00 0.000000000D+00 0.245174925D-08 0.222044605D-15 Resolved box number: 91 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 6 Pointer in the linked list 13 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 -0.239611659D+00 -0.239611659D+00 -0.970868813D+00 -0.970868813D+00 0.957917022D+00 0.957917184D+00 -0.287044989D+00 -0.287044989D+00 -0.527909026D+00 -0.527909026D+00 0.849300924D+00 0.849300924D+00 Approximate root: 0.671554262D+00 0.740955379D+00 -0.239611659D+00 -0.970868813D+00 0.957917103D+00 -0.287044989D+00 -0.527909026D+00 0.849300924D+00 Euclidean norm of residual at approximate root: 0.245174925D-08 Interval residual vector: -0.143218770D-13 0.147659662D-13 -0.988098492D-14 0.988098492D-14 -0.704688044D-14 0.701175229D-14 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.121014310D-13 0.119904087D-13 -0.153233696D-06 0.158137208D-06 -0.215383267D-13 0.206501483D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 -0.390312782D-17 -0.555111512D-16 0.000000000D+00 0.000000000D+00 0.245174925D-08 0.222044605D-15 Resolved box number: 88 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 7 Pointer in the linked list 12 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 -0.239611659D+00 -0.239611659D+00 -0.970868813D+00 -0.970868813D+00 -0.957917184D+00 -0.957917022D+00 0.287044989D+00 0.287044989D+00 -0.527909026D+00 -0.527909026D+00 -0.849300924D+00 -0.849300924D+00 Approximate root: 0.671554262D+00 0.740955379D+00 -0.239611659D+00 -0.970868813D+00 -0.957917103D+00 0.287044989D+00 -0.527909026D+00 -0.849300924D+00 Euclidean norm of residual at approximate root: 0.245174925D-08 Interval residual vector: -0.143218770D-13 0.147659662D-13 -0.988098492D-14 0.988098492D-14 -0.704688044D-14 0.701175229D-14 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.121014310D-13 0.119904087D-13 -0.153233696D-06 0.158137208D-06 -0.215383267D-13 0.206501483D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 -0.390312782D-17 -0.555111512D-16 0.000000000D+00 0.000000000D+00 0.245174925D-08 0.222044605D-15 Resolved box number: 83 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 8 Pointer in the linked list 11 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.671554262D+00 0.671554262D+00 0.740955379D+00 0.740955379D+00 -0.239611659D+00 -0.239611659D+00 -0.970868813D+00 -0.970868813D+00 -0.957917184D+00 -0.957917022D+00 -0.287044989D+00 -0.287044989D+00 -0.527909026D+00 -0.527909026D+00 0.849300924D+00 0.849300924D+00 Approximate root: 0.671554262D+00 0.740955379D+00 -0.239611659D+00 -0.970868813D+00 -0.957917103D+00 -0.287044989D+00 -0.527909026D+00 0.849300924D+00 Euclidean norm of residual at approximate root: 0.245174925D-08 Interval residual vector: -0.143218770D-13 0.147659662D-13 -0.988098492D-14 0.988098492D-14 -0.704688044D-14 0.701175229D-14 -0.299760217D-14 0.321964677D-14 -0.104360964D-13 0.102140518D-13 -0.121014310D-13 0.119904087D-13 -0.153233696D-06 0.158137208D-06 -0.215383267D-13 0.206501483D-13 Residual vector at approx. root: 0.000000000D+00 0.111022302D-15 -0.390312782D-17 -0.555111512D-16 0.000000000D+00 0.000000000D+00 0.245174925D-08 0.222044605D-15 Resolved box number: 80 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 9 Pointer in the linked list 10 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 0.239616017D+00 0.239616017D+00 -0.970867738D+00 -0.970867738D+00 0.997635210D+00 0.997635608D+00 0.687285400D-01 0.687285400D-01 -0.615508407D+00 -0.615508407D+00 -0.788130320D+00 -0.788130320D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 0.239616017D+00 -0.970867738D+00 0.997635409D+00 0.687285400D-01 -0.615508407D+00 -0.788130320D+00 Euclidean norm of residual at approximate root: 0.221341829D-07 Interval residual vector: -0.152100554D-13 0.152100554D-13 -0.954791801D-14 0.999200722D-14 -0.313117587D-14 0.317194188D-14 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.111022302D-13 0.117683641D-13 -0.374767089D-06 0.419035534D-06 -0.257571742D-13 0.257571742D-13 Residual vector at approx. root: 0.000000000D+00 0.000000000D+00 0.867361738D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.221341829D-07 -0.111022302D-15 Resolved box number: 74 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 10 Pointer in the linked list 9 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 0.239616017D+00 0.239616017D+00 -0.970867738D+00 -0.970867738D+00 0.997635210D+00 0.997635608D+00 -0.687285400D-01 -0.687285400D-01 -0.615508407D+00 -0.615508407D+00 0.788130320D+00 0.788130320D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 0.239616017D+00 -0.970867738D+00 0.997635409D+00 -0.687285400D-01 -0.615508407D+00 0.788130320D+00 Euclidean norm of residual at approximate root: 0.221341829D-07 Interval residual vector: -0.152100554D-13 0.152100554D-13 -0.954791801D-14 0.999200722D-14 -0.313117587D-14 0.317194188D-14 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.111022302D-13 0.117683641D-13 -0.374767089D-06 0.419035534D-06 -0.257571742D-13 0.257571742D-13 Residual vector at approx. root: 0.000000000D+00 0.000000000D+00 0.867361738D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.221341829D-07 -0.111022302D-15 Resolved box number: 71 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 11 Pointer in the linked list 8 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 0.239616017D+00 0.239616017D+00 -0.970867738D+00 -0.970867738D+00 -0.997635608D+00 -0.997635210D+00 0.687285400D-01 0.687285400D-01 -0.615508407D+00 -0.615508407D+00 -0.788130320D+00 -0.788130320D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 0.239616017D+00 -0.970867738D+00 -0.997635409D+00 0.687285400D-01 -0.615508407D+00 -0.788130320D+00 Euclidean norm of residual at approximate root: 0.221341829D-07 Interval residual vector: -0.152100554D-13 0.152100554D-13 -0.954791801D-14 0.999200722D-14 -0.313117587D-14 0.317194188D-14 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.111022302D-13 0.117683641D-13 -0.374767089D-06 0.419035534D-06 -0.257571742D-13 0.257571742D-13 Residual vector at approx. root: 0.000000000D+00 0.000000000D+00 0.867361738D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.221341829D-07 -0.111022302D-15 Resolved box number: 66 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 12 Pointer in the linked list 7 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 0.239616017D+00 0.239616017D+00 -0.970867738D+00 -0.970867738D+00 -0.997635608D+00 -0.997635210D+00 -0.687285400D-01 -0.687285400D-01 -0.615508407D+00 -0.615508407D+00 0.788130320D+00 0.788130320D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 0.239616017D+00 -0.970867738D+00 -0.997635409D+00 -0.687285400D-01 -0.615508407D+00 0.788130320D+00 Euclidean norm of residual at approximate root: 0.221341829D-07 Interval residual vector: -0.152100554D-13 0.152100554D-13 -0.954791801D-14 0.999200722D-14 -0.313117587D-14 0.317194188D-14 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.111022302D-13 0.117683641D-13 -0.374767089D-06 0.419035534D-06 -0.257571742D-13 0.257571742D-13 Residual vector at approx. root: 0.000000000D+00 0.000000000D+00 0.867361738D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.221341829D-07 -0.111022302D-15 Resolved box number: 63 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 13 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 -0.954728434D+00 -0.954728434D+00 0.297478766D+00 0.297478766D+00 0.911154796D+00 0.911154796D+00 0.412064240D+00 0.412064240D+00 0.991322415D+00 0.991322415D+00 -0.131452917D+00 -0.131452917D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 -0.954728434D+00 0.297478766D+00 0.911154796D+00 0.412064240D+00 0.991322415D+00 -0.131452917D+00 Euclidean norm of residual at approximate root: 0.275113473D-12 Interval residual vector: -0.277555756D-13 0.275335310D-13 -0.155431223D-13 0.149880108D-13 -0.102634914D-12 0.102703436D-12 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.162092562D-13 0.162092562D-13 -0.185426119D-10 0.190933935D-10 -0.621724894D-13 0.619504448D-13 Residual vector at approx. root: 0.000000000D+00 -0.111022302D-15 -0.520417043D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.275113266D-12 0.222044605D-15 Resolved box number: 60 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 14 Pointer in the linked list 5 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 -0.954728434D+00 -0.954728434D+00 0.297478766D+00 0.297478766D+00 0.911154796D+00 0.911154796D+00 -0.412064240D+00 -0.412064240D+00 0.991322415D+00 0.991322415D+00 0.131452917D+00 0.131452917D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 -0.954728434D+00 0.297478766D+00 0.911154796D+00 -0.412064240D+00 0.991322415D+00 0.131452917D+00 Euclidean norm of residual at approximate root: 0.275113473D-12 Interval residual vector: -0.277555756D-13 0.275335310D-13 -0.155431223D-13 0.149880108D-13 -0.102634914D-12 0.102703436D-12 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.162092562D-13 0.162092562D-13 -0.185426119D-10 0.190933935D-10 -0.621724894D-13 0.619504448D-13 Residual vector at approx. root: 0.000000000D+00 -0.111022302D-15 -0.520417043D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.275113266D-12 0.222044605D-15 Resolved box number: 58 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 15 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 -0.954728434D+00 -0.954728434D+00 0.297478766D+00 0.297478766D+00 -0.911154796D+00 -0.911154796D+00 0.412064240D+00 0.412064240D+00 0.991322415D+00 0.991322415D+00 -0.131452917D+00 -0.131452917D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 -0.954728434D+00 0.297478766D+00 -0.911154796D+00 0.412064240D+00 0.991322415D+00 -0.131452917D+00 Euclidean norm of residual at approximate root: 0.275113473D-12 Interval residual vector: -0.277555756D-13 0.275335310D-13 -0.155431223D-13 0.149880108D-13 -0.102634914D-12 0.102703436D-12 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.162092562D-13 0.162092562D-13 -0.185426119D-10 0.190933935D-10 -0.621724894D-13 0.619504448D-13 Residual vector at approx. root: 0.000000000D+00 -0.111022302D-15 -0.520417043D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.275113266D-12 0.222044605D-15 Resolved box number: 54 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 16 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.164431666D+00 0.164431666D+00 -0.986388477D+00 -0.986388477D+00 -0.954728434D+00 -0.954728434D+00 0.297478766D+00 0.297478766D+00 -0.911154796D+00 -0.911154796D+00 -0.412064240D+00 -0.412064240D+00 0.991322415D+00 0.991322415D+00 0.131452917D+00 0.131452917D+00 Approximate root: 0.164431666D+00 -0.986388477D+00 -0.954728434D+00 0.297478766D+00 -0.911154796D+00 -0.412064240D+00 0.991322415D+00 0.131452917D+00 Euclidean norm of residual at approximate root: 0.275113473D-12 Interval residual vector: -0.277555756D-13 0.275335310D-13 -0.155431223D-13 0.149880108D-13 -0.102634914D-12 0.102703436D-12 -0.272004641D-14 0.272004641D-14 -0.865973959D-14 0.821565038D-14 -0.162092562D-13 0.162092562D-13 -0.185426119D-10 0.190933935D-10 -0.621724894D-13 0.619504448D-13 Residual vector at approx. root: 0.000000000D+00 -0.111022302D-15 -0.520417043D-17 -0.555111512D-16 0.222044605D-15 0.000000000D+00 0.275113266D-12 0.222044605D-15 Resolved box number: 52 Box added at level: 9 Reason: underwent expansion step No boxes were deleted from the list. ************************************************************ Generalized bisection package Test problem no. 12 -- a numerical bifurcation problem.... total time in ROOTS for this problem: 9.9800000000000004 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 12 Number of leaves: 184 Number of adjusted boxes: 20 Number of boxes deleted due to redundancy: 12 Maximum binary tree level reached: 13 Maximum stack depth reached: 9 Number of ftest calls: 355 Number of interval function calls to determine the range: 703 Number of Jacobian calls: 571 Number of function calls to do the interval Newton method: 570 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 26 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.466980011D+00 0.466980011D+00 0.218070331D+00 0.218070331D+00 -0.211878192D-11 0.353130321D-11 Approximate root: 0.466980011D+00 0.218070331D+00 0.706260641D-12 Euclidean norm of residual at approximate root: 0.728036594D-12 Interval residual vector: -0.658630767D-10 0.671823901D-10 -0.326915419D-10 0.333075210D-10 -0.348080342D-09 0.348092111D-09 Residual vector at approx. root: 0.659656718D-12 0.307986483D-12 0.588418203D-14 Resolved box number: 178 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 25 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.195428469D-07 0.325714115D-07 0.515388197D+00 0.515388211D+00 -0.119123754D-08 0.198539590D-08 Approximate root: 0.651428230D-08 0.515388204D+00 0.397079181D-09 Euclidean norm of residual at approximate root: 0.107687026D-08 Interval residual vector: -0.137887779D-08 0.229812965D-08 -0.122789957D-08 0.204649958D-08 -0.647446341D-08 0.824179791D-08 Residual vector at approx. root: 0.459625884D-09 0.409299863D-09 0.883666917D-09 Resolved box number: 169 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 3 Pointer in the linked list 23 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.515388181D+00 0.515388232D+00 -0.764992691D-07 0.127498782D-06 -0.124456135D-01 -0.124455866D-01 Approximate root: 0.515388206D+00 0.254997564D-07 -0.124456000D-01 Euclidean norm of residual at approximate root: 0.360167072D-08 Interval residual vector: -0.207774862D-07 0.195670889D-07 -0.795266699D-08 0.477160020D-08 -0.229383894D-07 0.292869413D-07 Residual vector at approx. root: -0.605197462D-09 -0.159053243D-08 0.317426757D-08 Resolved box number: 153 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 4 Pointer in the linked list 21 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: 0.270771257D+00 0.289336146D+00 0.427952364D+00 0.436307642D+00 -0.147557267D-01 -0.135898718D-01 Approximate root: 0.279853847D+00 0.432790134D+00 -0.141891944D-01 Euclidean norm of residual at approximate root: 0.488012189D-06 Interval residual vector: -0.173361542D-02 0.159730327D-02 -0.189535369D-02 0.193741733D-02 -0.916470091D-02 0.845476363D-02 Residual vector at approx. root: 0.108417018D-06 -0.988905356D-08 0.475714046D-06 Resolved box number: 143 Box added at level: 10 Reason: test signalled unique root BOX NUMBER 5 Pointer in the linked list 20 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.466980011D+00 0.466980011D+00 -0.218070331D+00 -0.218070331D+00 -0.211878192D-11 0.353130321D-11 Approximate root: 0.466980011D+00 -0.218070331D+00 0.706260641D-12 Euclidean norm of residual at approximate root: 0.728036594D-12 Interval residual vector: -0.658630767D-10 0.671823901D-10 -0.333075210D-10 0.326915419D-10 -0.348080342D-09 0.348092111D-09 Residual vector at approx. root: 0.659656718D-12 -0.307986483D-12 0.588418203D-14 Resolved box number: 135 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 6 Pointer in the linked list 19 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.195428469D-07 0.325714115D-07 -0.515388211D+00 -0.515388197D+00 -0.119123754D-08 0.198539590D-08 Approximate root: 0.651428230D-08 -0.515388204D+00 0.397079181D-09 Euclidean norm of residual at approximate root: 0.107687026D-08 Interval residual vector: -0.137887779D-08 0.229812965D-08 -0.204649958D-08 0.122789957D-08 -0.647446341D-08 0.824179791D-08 Residual vector at approx. root: 0.459625884D-09 -0.409299863D-09 0.883666917D-09 Resolved box number: 121 Box added at level: 9 Reason: underwent expansion step BOX NUMBER 7 Pointer in the linked list 16 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: 0.270771257D+00 0.289336146D+00 -0.436307642D+00 -0.427952364D+00 -0.147557267D-01 -0.135898718D-01 Approximate root: 0.279853847D+00 -0.432790134D+00 -0.141891944D-01 Euclidean norm of residual at approximate root: 0.488012189D-06 Interval residual vector: -0.173361542D-02 0.159730327D-02 -0.193741733D-02 0.189535369D-02 -0.916470091D-02 0.845476363D-02 Residual vector at approx. root: 0.108417018D-06 0.988905356D-08 0.475714046D-06 Resolved box number: 99 Box added at level: 10 Reason: test signalled unique root BOX NUMBER 8 Pointer in the linked list 13 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.466980011D+00 -0.466980011D+00 0.218070331D+00 0.218070331D+00 -0.211878192D-11 0.353130321D-11 Approximate root: -0.466980011D+00 0.218070331D+00 0.706260641D-12 Euclidean norm of residual at approximate root: 0.728036594D-12 Interval residual vector: -0.671823901D-10 0.658630767D-10 -0.326915419D-10 0.333075210D-10 -0.348080342D-09 0.348092111D-09 Residual vector at approx. root: -0.659656718D-12 0.307986483D-12 0.588418203D-14 Resolved box number: 77 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 9 Pointer in the linked list 11 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: -0.289336146D+00 -0.270771257D+00 0.427952364D+00 0.436307642D+00 -0.147557267D-01 -0.135898718D-01 Approximate root: -0.279853847D+00 0.432790134D+00 -0.141891944D-01 Euclidean norm of residual at approximate root: 0.488012189D-06 Interval residual vector: -0.159730327D-02 0.173361542D-02 -0.189535369D-02 0.193741733D-02 -0.916470091D-02 0.845476363D-02 Residual vector at approx. root: -0.108417018D-06 -0.988905356D-08 0.475714046D-06 Resolved box number: 67 Box added at level: 10 Reason: test signalled unique root BOX NUMBER 10 Pointer in the linked list 9 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.515388232D+00 -0.515388181D+00 -0.764992691D-07 0.127498782D-06 -0.124456135D-01 -0.124455866D-01 Approximate root: -0.515388206D+00 0.254997564D-07 -0.124456000D-01 Euclidean norm of residual at approximate root: 0.360167072D-08 Interval residual vector: -0.195670889D-07 0.207774862D-07 -0.795266699D-08 0.477160020D-08 -0.229383894D-07 0.292869413D-07 Residual vector at approx. root: 0.605197462D-09 -0.159053243D-08 0.317426757D-08 Resolved box number: 49 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 11 Pointer in the linked list 7 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.466980011D+00 -0.466980011D+00 -0.218070331D+00 -0.218070331D+00 -0.211878192D-11 0.353130321D-11 Approximate root: -0.466980011D+00 -0.218070331D+00 0.706260641D-12 Euclidean norm of residual at approximate root: 0.728036594D-12 Interval residual vector: -0.671823901D-10 0.658630767D-10 -0.333075210D-10 0.326915419D-10 -0.348080342D-09 0.348092111D-09 Residual vector at approx. root: -0.659656718D-12 -0.307986483D-12 0.588418203D-14 Resolved box number: 34 Box added at level: 10 Reason: underwent expansion step BOX NUMBER 12 Pointer in the linked list 6 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: -0.289336146D+00 -0.270771257D+00 -0.436307642D+00 -0.427952364D+00 -0.147557267D-01 -0.135898718D-01 Approximate root: -0.279853847D+00 -0.432790134D+00 -0.141891944D-01 Euclidean norm of residual at approximate root: 0.488012189D-06 Interval residual vector: -0.159730327D-02 0.173361542D-02 -0.193741733D-02 0.189535369D-02 -0.916470091D-02 0.845476363D-02 Residual vector at approx. root: -0.108417018D-06 0.988905356D-08 0.475714046D-06 Resolved box number: 23 Box added at level: 10 Reason: test signalled unique root LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 24 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.466980011D+00 0.466980011D+00 0.218070331D+00 0.218070331D+00 -0.313043365D-11 0.187826019D-11 Approximate root: 0.466980011D+00 0.218070331D+00 -0.626086729D-12 Euclidean norm of residual at approximate root: 0.641605807D-12 Interval residual vector: -0.528165263D-10 0.516642190D-10 -0.265452474D-10 0.259807347D-10 -0.272003808D-09 0.272016076D-09 Residual vector at approx. root: -0.576155480D-12 -0.282253313D-12 0.599520433D-14 Resolved box number: 154 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 26 BOX NUMBER 2 Pointer in the linked list 22 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.128911863D-06 0.214853105D-06 0.515388124D+00 0.515388304D+00 -0.848990843D-08 0.509394506D-08 Approximate root: 0.429706210D-07 0.515388214D+00 -0.169798169D-08 Euclidean norm of residual at approximate root: 0.117986347D-07 Interval residual vector: -0.909559879D-08 0.151593274D-07 -0.875119902D-08 0.525073205D-08 -0.818179898D-07 0.104352667D-06 Residual vector at approx. root: 0.303186278D-08 -0.175023899D-08 0.112673090D-07 Resolved box number: 144 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 25 BOX NUMBER 3 Pointer in the linked list 18 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.515388181D+00 0.515388232D+00 -0.127498782D-06 0.764992691D-07 -0.124456135D-01 -0.124455866D-01 Approximate root: 0.515388206D+00 -0.254997564D-07 -0.124456000D-01 Euclidean norm of residual at approximate root: 0.360167072D-08 Interval residual vector: -0.207774862D-07 0.195670889D-07 -0.477160020D-08 0.795266699D-08 -0.229383894D-07 0.292869413D-07 Residual vector at approx. root: -0.605197462D-09 0.159053243D-08 0.317426757D-08 Resolved box number: 117 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 23 BOX NUMBER 4 Pointer in the linked list 14 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.325714115D-07 0.195428469D-07 0.515388197D+00 0.515388211D+00 -0.119123754D-08 0.198539590D-08 Approximate root: -0.651428230D-08 0.515388204D+00 0.397079181D-09 Euclidean norm of residual at approximate root: 0.107687026D-08 Interval residual vector: -0.229812965D-08 0.137887779D-08 -0.122789957D-08 0.204649958D-08 -0.647446341D-08 0.824179791D-08 Residual vector at approx. root: -0.459625884D-09 0.409299863D-09 0.883666917D-09 Resolved box number: 91 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 22 BOX NUMBER 5 Pointer in the linked list 17 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.466980011D+00 0.466980011D+00 -0.218070331D+00 -0.218070331D+00 -0.313043365D-11 0.187826019D-11 Approximate root: 0.466980011D+00 -0.218070331D+00 -0.626086729D-12 Euclidean norm of residual at approximate root: 0.641605807D-12 Interval residual vector: -0.528165263D-10 0.516642190D-10 -0.259807347D-10 0.265452474D-10 -0.272003808D-09 0.272016076D-09 Residual vector at approx. root: -0.576155480D-12 0.282253313D-12 0.599520433D-14 Resolved box number: 116 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 20 BOX NUMBER 6 Pointer in the linked list 15 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.128911863D-06 0.214853105D-06 -0.515388304D+00 -0.515388124D+00 -0.848990843D-08 0.509394506D-08 Approximate root: 0.429706210D-07 -0.515388214D+00 -0.169798169D-08 Euclidean norm of residual at approximate root: 0.117986347D-07 Interval residual vector: -0.909559879D-08 0.151593274D-07 -0.525073205D-08 0.875119902D-08 -0.818179898D-07 0.104352667D-06 Residual vector at approx. root: 0.303186278D-08 0.175023899D-08 0.112673090D-07 Resolved box number: 94 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 19 BOX NUMBER 7 Pointer in the linked list 8 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.325714115D-07 0.195428469D-07 -0.515388211D+00 -0.515388197D+00 -0.119123754D-08 0.198539590D-08 Approximate root: -0.651428230D-08 -0.515388204D+00 0.397079181D-09 Euclidean norm of residual at approximate root: 0.107687026D-08 Interval residual vector: -0.229812965D-08 0.137887779D-08 -0.204649958D-08 0.122789957D-08 -0.647446341D-08 0.824179791D-08 Residual vector at approx. root: -0.459625884D-09 -0.409299863D-09 0.883666917D-09 Resolved box number: 43 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 15 BOX NUMBER 8 Pointer in the linked list 12 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.214853105D-06 0.128911863D-06 0.515388124D+00 0.515388304D+00 -0.848990843D-08 0.509394506D-08 Approximate root: -0.429706210D-07 0.515388214D+00 -0.169798169D-08 Euclidean norm of residual at approximate root: 0.117986347D-07 Interval residual vector: -0.151593274D-07 0.909559879D-08 -0.875119902D-08 0.525073205D-08 -0.818179898D-07 0.104352667D-06 Residual vector at approx. root: -0.303186278D-08 -0.175023899D-08 0.112673090D-07 Resolved box number: 72 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 14 BOX NUMBER 9 Pointer in the linked list 10 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.466980011D+00 -0.466980011D+00 0.218070331D+00 0.218070331D+00 -0.313043365D-11 0.187826019D-11 Approximate root: -0.466980011D+00 0.218070331D+00 -0.626086729D-12 Euclidean norm of residual at approximate root: 0.641605807D-12 Interval residual vector: -0.516642190D-10 0.528165263D-10 -0.265452474D-10 0.259807347D-10 -0.272003808D-09 0.272016076D-09 Residual vector at approx. root: 0.576155480D-12 -0.282253313D-12 0.599520433D-14 Resolved box number: 50 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 13 BOX NUMBER 10 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.515388232D+00 -0.515388181D+00 -0.127498782D-06 0.764992691D-07 -0.124456135D-01 -0.124455866D-01 Approximate root: -0.515388206D+00 -0.254997564D-07 -0.124456000D-01 Euclidean norm of residual at approximate root: 0.360167072D-08 Interval residual vector: -0.195670889D-07 0.207774862D-07 -0.477160020D-08 0.795266699D-08 -0.229383894D-07 0.292869413D-07 Residual vector at approx. root: 0.605197462D-09 0.159053243D-08 0.317426757D-08 Resolved box number: 13 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 9 BOX NUMBER 11 Pointer in the linked list 5 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.214853105D-06 0.128911863D-06 -0.515388304D+00 -0.515388124D+00 -0.848990843D-08 0.509394506D-08 Approximate root: -0.429706210D-07 -0.515388214D+00 -0.169798169D-08 Euclidean norm of residual at approximate root: 0.117986347D-07 Interval residual vector: -0.151593274D-07 0.909559879D-08 -0.525073205D-08 0.875119902D-08 -0.818179898D-07 0.104352667D-06 Residual vector at approx. root: -0.303186278D-08 0.175023899D-08 0.112673090D-07 Resolved box number: 22 Box added at level: 9 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 8 BOX NUMBER 12 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.466980011D+00 -0.466980011D+00 -0.218070331D+00 -0.218070331D+00 -0.313043365D-11 0.187826019D-11 Approximate root: -0.466980011D+00 -0.218070331D+00 -0.626086729D-12 Euclidean norm of residual at approximate root: 0.641605807D-12 Interval residual vector: -0.516642190D-10 0.528165263D-10 -0.259807347D-10 0.265452474D-10 -0.272003808D-09 0.272016076D-09 Residual vector at approx. root: 0.576155480D-12 0.282253313D-12 0.599520433D-14 Resolved box number: 12 Box added at level: 10 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 7 ************************************************************ Generalized bisection package Test problem no. 14 -- two intersecting parabolas......... total time in ROOTS for this problem: 0.2000000000000000 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 2 Number of leaves: 8 Number of adjusted boxes: 3 Number of boxes deleted due to redundancy: 2 Maximum binary tree level reached: 6 Maximum stack depth reached: 3 Number of ftest calls: 13 Number of interval function calls to determine the range: 31 Number of Jacobian calls: 28 Number of function calls to do the interval Newton method: 28 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 6 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.279329086D-11 0.465548477D-11 -0.119327242D-11 0.198878737D-11 Approximate root: 0.931096955D-12 0.397757473D-12 Euclidean norm of residual at approximate root: 0.161397213D-11 Interval residual vector: -0.795514947D-11 0.477308968D-11 -0.140840592D-10 0.135417312D-10 Residual vector at approx. root: -0.159102989D-11 -0.271164016D-12 Resolved box number: 6 Box added at level: 6 Reason: underwent expansion step BOX NUMBER 2 Pointer in the linked list 5 Point Newton method succeeded with NITR = 3 Containing intervals for the coordinates: 0.166368417D+01 0.171499114D+01 0.708805763D+00 0.727804579D+00 Approximate root: 0.169541520D+01 0.718608172D+00 Euclidean norm of residual at approximate root: 0.379916834D-09 Interval residual vector: -0.143373311D+00 0.105971550D+00 -0.923536129D-01 0.113549489D+00 Residual vector at approx. root: 0.376452647D-09 0.511879428D-10 Resolved box number: 5 Box added at level: 6 Reason: test signalled unique root LIST OF DELETED BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 4 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.299923679D-10 0.179954207D-10 -0.292219915D-11 0.487033192D-11 Approximate root: -0.599847358D-11 0.974066383D-12 Euclidean norm of residual at approximate root: 0.163638350D-10 Interval residual vector: -0.194813277D-10 0.116887966D-10 -0.476796381D-10 0.794660635D-10 Residual vector at approx. root: -0.389626553D-11 0.158932127D-10 Resolved box number: 4 Box added at level: 3 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 6 BOX NUMBER 2 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: -0.254662645D-06 0.229080884D-06 -0.653331570D-07 0.391998942D-07 Approximate root: -0.127908804D-07 -0.130666314D-07 Euclidean norm of residual at approximate root: 0.586844646D-07 Interval residual vector: -0.156799577D-06 0.261332693D-06 -0.719494396D-06 0.666124870D-06 Residual vector at approx. root: 0.522665258D-07 -0.266847647D-07 Resolved box number: 3 Box added at level: 4 Reason: underwent expansion step Reason box deleted: 3 Pointer of intersecting box: 4 ************************************************************ Generalized bisection package Test problem no. 15 -- Rosenbrock's function.............. total time in ROOTS for this problem: 2.0000000000000000E-02 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 1 Number of leaves: 1 Number of adjusted boxes: 0 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 1 Maximum stack depth reached: 0 Number of ftest calls: 1 Number of interval function calls to determine the range: 2 Number of Jacobian calls: 2 Number of function calls to do the interval Newton method: 2 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 3 Point Newton method succeeded with NITR = 1 Containing intervals for the coordinates: 0.100000000D+01 0.100000000D+01 0.100000000D+01 0.100000000D+01 Approximate root: 0.100000000D+01 0.100000000D+01 Euclidean norm of residual at approximate root: 0.000000000D+00 Interval residual vector: -0.155431223D-14 0.155431223D-14 -0.621724894D-13 0.639488462D-13 Residual vector at approx. root: 0.000000000D+00 0.000000000D+00 Resolved box number: 1 Box added at level: 1 Reason: test signalled unique root No boxes were deleted from the list. ************************************************************ Generalized bisection package Test problem 16 -- a variable-dimension system of quadrics total time in ROOTS for this problem: 4.0000000000000001E-02 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 1 Number of leaves: 1 Number of adjusted boxes: 0 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 1 Maximum stack depth reached: 0 Number of ftest calls: 1 Number of interval function calls to determinFortran-90 STOP Warning: Floating underflow occurred during execution e the range: 2 Number of Jacobian calls: 2 Number of function calls to do the interval Newton method: 2 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 3 Point Newton method succeeded with NITR = 2 Containing intervals for the coordinates: 0.823445622D-01 0.117740115D+00 0.952866222D-01 0.104798057D+00 0.978750353D-01 0.102209646D+00 0.983927181D-01 0.101691964D+00 Approximate root: 0.100000002D+00 0.100000002D+00 0.100000002D+00 0.100000002D+00 Euclidean norm of residual at approximate root: 0.358504837D-08 Interval residual vector: -0.114807740D-01 0.121918793D-01 -0.400503572D-02 0.413495436D-02 -0.246968854D-02 0.256376834D-02 -0.183127035D-01 0.184028273D-01 Residual vector at approx. root: 0.179242682D-08 0.179248913D-08 0.179258119D-08 0.179259960D-08 Resolved box number: 1 Box added at level: 1 Reason: test signalled unique root No boxes were deleted from the list. ************************************************************ Generalized bisection package Test problem no. 17 -- Broyden's banded function with N=5. total time in ROOTS for this problem: 3.2400000000000002 SUCCESSFUL COMPLETION OF BINARY SEARCH. After ROOTS: Number of roots found: 1 Number of leaves: 39 Number of adjusted boxes: 0 Number of boxes deleted due to redundancy: 0 Maximum binary tree level reached: 11 Maximum stack depth reached: 5 Number of ftest calls: 76 Number of interval function calls to determine the range: 108 Number of Jacobian calls: 80 Number of function calls to do the interval Newton method: 79 LIST OF ROOT-CONTAINING BOXES FOLLOWS: BOX NUMBER 1 Pointer in the linked list 3 Point Newton method succeeded with NITR = 3 Containing intervals for the coordinates: -0.428399174D+00 -0.428208473D+00 -0.480437220D+00 -0.472948156D+00 -0.531193847D+00 -0.506070166D+00 -0.606159841D+00 -0.540108589D+00 -0.600805375D+00 -0.542046332D+00 Approximate root: -0.428302865D+00 -0.476596532D+00 -0.519637733D+00 -0.558862053D+00 -0.558862026D+00 Euclidean norm of residual at approximate root: 0.811738973D-06 Interval residual vector: -0.778173152D-02 0.775344124D-02 -0.467609635D-01 0.452820797D-01 -0.152324617D+00 0.156055570D+00 -0.434132133D+00 0.215859681D+00 -0.402572661D+00 0.210926042D+00 Residual vector at approx. root: 0.000000000D+00 -0.813977330D-09 -0.786395646D-07 -0.654775440D-06 -0.473291074D-06 Resolved box number: 1 Box added at level: 5 Reason: test signalled unique root No boxes were deleted from the list.