12 NPROBLEMS Test problem no. 1: cubic-parabola......................... 00002 N 00003 NUMTRM(1) 00003 DEG(1,1,1) 00000 DEG(1,2,1) 4.0D 00 A(1,1) 00001 DEG(1,1,2) 00000 DEG(1,2,2) -3.0D 00 A(1,2) 00000 DEG(1,1,3) 00001 DEG(1,2,3) -1.0D 00 A(1,3) 00002 NUMTRM(2) 00002 DEG(2,1,1) 00000 DEG(2,2,1) 1.0D 00 A(2,1) 00000 DEG(2,1,2) 00001 DEG(2,2,2) -1.0D 00 A(2,2) -2.0D 00 D0(1,1) 2.0D 00 D0(2,1) -2.0D 00 D0(1,2) 2.0D 00 D0(2,2) Test problem no. 2 -- a counterexample to a method of Branin 00002 N 00002 NUMTRM(1) 00001 DEG(1,1,1) 00000 DEG(1,2,1) 4.0D 00 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) 4.0D 00 A(1,2) 00008 NUMTRM(2) 00003 DEG(2,1,1) 00000 DEG(2,2,1) 1.0D 00 A(2,1) 00000 DEG(2,1,2) 00003 DEG(2,2,2) -1.0D 00 A(2,2) 00001 DEG(2,1,3) 00002 DEG(2,2,3) 1.0D 00 A(2,3) 00002 DEG(2,1,4) 00001 DEG(2,2,4) -1.0D 00 A(2,4) 00002 DEG(2,1,5) 00000 DEG(2,2,5) -4.0D 00 A(2,5) 00001 DEG(2,1,6) 00001 DEG(2,2,6) 4.0D 00 A(2,6) 00001 DEG(2,1,7) 00000 DEG(2,2,7) 7.0D 00 A(2,7) 00000 DEG(2,1,8) 00001 DEG(2,2,8) 1.0D 00 A(2,8) -2.0D 00 D0(1,1) 2.0D 00 D0(2,1) -2.0D 00 D0(1,2) 2.0D 00 D0(2,2) Test problem no. 3 -- Powell's singular function........... 00004 N 00002 NUMTRM(1) 00001 DEG(1,1,1) 00000 DEG(1,2,1) 00000 DEG(1,3,1) 00000 DEG(1,4,1) .1000000D 01 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) 00000 DEG(1,3,2) 00000 DEG(1,4,2) .1000000D 02 A(1,2) 00002 NUMTRM(2) 00000 DEG(2,1,1) 00000 DEG(2,2,1) 00001 DEG(2,3,1) 00000 DEG(2,4,1) .2236068D 01 A(2,1) 00000 DEG(2,1,3) 00000 DEG(2,2,3) 00000 DEG(2,3,3) 00001 DEG(2,4,3) -.2236068D 01 A(2,3) 00003 NUMTRM(3) 00000 DEG(3,1,1) 00002 DEG(3,2,1) 00000 DEG(3,3,1) 00000 DEG(3,4,1) .1000000D 01 A(3,1) 00000 DEG(3,1,2) 00001 DEG(3,2,2) 00001 DEG(3,3,2) 00000 DEG(3,4,2) -.4000000D 01 A(3,2) 00000 DEG(3,1,3) 00000 DEG(3,2,3) 00002 DEG(3,3,3) 00000 DEG(3,4,3) .4000000D 01 A(3,3) 00003 NUMTRM(4) 00002 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00000 DEG(4,4,1) .31622777D 01 A(4,1) 00001 DEG(4,1,2) 00000 DEG(4,2,2) 00000 DEG(4,3,2) 00001 DEG(4,4,2) -.63245553D 01 A(4,2) 00000 DEG(4,1,3) 00000 DEG(4,2,3) 00000 DEG(4,3,3) 00002 DEG(4,4,3) .316227770D 01 A(4,3) -2.0D 00 D0(1,1) 2.0D 00 D0(2,1) -2.0D 00 D0(1,2) 2.0D 00 D0(2,2) -2.0D 00 D0(1,3) 2.0D 00 D0(2,3) -2.0D 00 D0(1,4) 2.0D 00 D0(2,4) Test problem no. 4 -- Brown's almost linear system........ 00005 N 00006 NUMTRM(1) 00001 DEG(1,1,1) 00000 DEG(1,2,1) 00000 DEG(1,3,1) 00000 DEG(1,4,1) 00000 DEG(1,5,1) 2.0D 00 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) 00000 DEG(1,3,2) 00000 DEG(1,4,2) 00000 DEG(1,5,2) 1.0D 00 A(1,2) 00000 DEG(1,1,3) 00000 DEG(1,2,3) 00001 DEG(1,3,3) 00000 DEG(1,4,3) 00000 DEG(1,5,3) 1.0D 00 A(1,3) 00000 DEG(1,1,4) 00000 DEG(1,2,4) 00000 DEG(1,3,4) 00001 DEG(1,4,4) 00000 DEG(1,5,4) 1.0D 00 A(1,4) 00000 DEG(1,1,5) 00000 DEG(1,2,5) 00000 DEG(1,3,5) 00000 DEG(1,4,5) 00001 DEG(1,5,5) 1.0D 00 A(1,5) 00000 DEG(1,1,6) 00000 DEG(1,2,6) 00000 DEG(1,3,6) 00000 DEG(1,4,6) 00000 DEG(1,5,6) -6.0D 00 A(1,6) 00006 NUMTRM(2) 00001 DEG(2,1,1) 00000 DEG(2,2,1) 00000 DEG(2,3,1) 00000 DEG(2,4,1) 00000 DEG(2,5,1) 1.0D 00 A(2,1) 00000 DEG(2,1,2) 00001 DEG(2,2,2) 00000 DEG(2,3,2) 00000 DEG(2,4,2) 00000 DEG(2,5,2) 2.0D 00 A(2,2) 00000 DEG(2,1,3) 00000 DEG(2,2,3) 00001 DEG(2,3,3) 00000 DEG(2,4,3) 00000 DEG(2,5,3) 1.0D 00 A(2,3) 00000 DEG(2,1,4) 00000 DEG(2,2,4) 00000 DEG(2,3,4) 00001 DEG(2,4,4) 00000 DEG(2,5,4) 1.0D 00 A(2,4) 00000 DEG(2,1,5) 00000 DEG(2,2,5) 00000 DEG(2,3,5) 00000 DEG(2,4,5) 00001 DEG(2,5,5) 1.0D 00 A(2,5) 00000 DEG(2,1,6) 00000 DEG(2,2,6) 00000 DEG(2,3,6) 00000 DEG(2,4,6) 00000 DEG(2,5,6) -6.0D 00 A(2,6) 00006 NUMTRM(3) 00001 DEG(3,1,1) 00000 DEG(3,2,1) 00000 DEG(3,3,1) 00000 DEG(3,4,1) 00000 DEG(3,5,1) 1.0D 00 A(3,1) 00000 DEG(3,1,2) 00001 DEG(3,2,2) 00000 DEG(3,3,2) 00000 DEG(3,4,2) 00000 DEG(3,5,2) 1.0D 00 A(3,2) 00000 DEG(3,1,3) 00000 DEG(3,2,3) 00001 DEG(3,3,3) 00000 DEG(3,4,3) 00000 DEG(3,5,3) 2.0D 00 A(3,3) 00000 DEG(3,1,4) 00000 DEG(3,2,4) 00000 DEG(3,3,4) 00001 DEG(3,4,4) 00000 DEG(3,5,4) 1.0D 00 A(3,4) 00000 DEG(3,1,5) 00000 DEG(3,2,5) 00000 DEG(3,3,5) 00000 DEG(3,4,5) 00001 DEG(3,5,5) 1.0D 00 A(3,5) 00000 DEG(3,1,6) 00000 DEG(3,2,6) 00000 DEG(3,3,6) 00000 DEG(3,4,6) 00000 DEG(3,5,6) -6.0D 00 A(3,6) 00006 NUMTRM(4) 00001 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00000 DEG(4,4,1) 00000 DEG(4,5,1) 1.0D 00 A(4,1) 00000 DEG(4,1,2) 00001 DEG(4,2,2) 00000 DEG(4,3,2) 00000 DEG(4,4,2) 00000 DEG(4,5,2) 1.0D 00 A(4,2) 00000 DEG(4,1,3) 00000 DEG(4,2,3) 00001 DEG(4,3,3) 00000 DEG(4,4,3) 00000 DEG(4,5,3) 1.0D 00 A(4,3) 00000 DEG(4,1,4) 00000 DEG(4,2,4) 00000 DEG(4,3,4) 00001 DEG(4,4,4) 00000 DEG(4,5,4) 2.0D 00 A(4,4) 00000 DEG(4,1,5) 00000 DEG(4,2,5) 00000 DEG(4,3,5) 00000 DEG(4,4,5) 00001 DEG(4,5,5) 1.0D 00 A(4,5) 00000 DEG(4,1,6) 00000 DEG(4,2,6) 00000 DEG(4,3,6) 00000 DEG(4,4,6) 00000 DEG(4,5,6) -6.0D 00 A(4,6) 00002 NUMTRM(5) 00001 DEG(5,1,1) 00001 DEG(5,2,1) 00001 DEG(5,3,1) 00001 DEG(5,4,1) 00001 DEG(5,5,1) 1.0D 00 A(5,1) 00000 DEG(5,1,2) 00000 DEG(5,2,2) 00000 DEG(5,3,2) 00000 DEG(5,4,2) 00000 DEG(5,5,2) -1.0D 00 A(5,2) -2.0D 00 D0(1,1) 2.0D 00 D0(2,1) -2.0D 00 D0(1,2) 2.0D 00 D0(2,2) -2.0D 00 D0(1,3) 2.0D 00 D0(2,3) -2.0D 00 D0(1,4) 2.0D 00 D0(2,4) -2.0D 00 D0(1,5) 2.0D 00 D0(2,5) Test problem no. 9 -- circle-circle intersection.......... 00002 N 00005 NUMTRM(1) 00002 DEG(1,1,1) 00000 DEG(1,2,1) .100000000D 01 A(1,1) 00001 DEG(1,1,2) 00000 DEG(1,2,2 ) -.200000000D 03 A(1,2) 00000 DEG(1,1,3) 00002 DEG(1,2,3) .100000000D 01 A(1,3) 00000 DEG(1,1,4) 00001 DEG(1,2,4) -.105788612D 01 A(1,4) 00000 DEG(1,1,5) 00000 DEG(1,2,5) .100027344D 03 A(1,5) 00005 NUMTRM(2) 00002 DEG(2,1,1) 00000 DEG(2,2,1) .100000000D 01 A(2,1) 00001 DEG(2,1,2) 00000 DEG(2,2,2) .200000000D 03 A(2,2) 00000 DEG(2,1,3) 00002 DEG(2,2,3) .100000000D 01 A(2,3) 00000 DEG(2,1,4) 00001 DEG(2,2,4) -.100000000D 01 A(2,4) 00000 DEG(2,1,5) 00000 DEG(2,2,5) -.100000000D 03 A(2,5) 0.0D 00 D0(1,1) 1.0D 00 D0(2,1) 0.0D 00 D0(1,2) 1.0D 00 D0(2,2) Test problem no. 10 -- A combustion chemistry problem..... 00004 N 00005 NUMTRM(1) 00000 DEG(1,1,1) 00001 DEG(1,2,1) 00000 DEG(1,3,1) 00001 DEG(1,4,1) -1.6970D 07 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) 00000 DEG(1,3,2) 00000 DEG(1,4,2) 2.1770D 07 A(1,2) 00001 DEG(1,1,3) 00000 DEG(1,2,3) 00000 DEG(1,3,3) 00001 DEG(1,4,3) 0.5500D 00 A(1,3) 00001 DEG(1,1,4) 00000 DEG(1,2,4) 00000 DEG(1,3,4) 00000 DEG(1,4,4) 0.45000D 00 A(1,4) 00000 DEG(1,1,5) 00000 DEG(1,2,5) 00000 DEG(1,3,5) 00001 DEG(1,4,5) -1.00000D 00 A(1,5) 00007 NUMTRM(2) 00000 DEG(2,1,1) 00001 DEG(2,2,1) 00000 DEG(2,3,1) 00001 DEG(2,4,1) 1.58500D 14 A(2,1) 00001 DEG(2,1,2) 00000 DEG(2,2,2) 00001 DEG(2,3,2) 00000 DEG(2,4,2) 4.12600D 07 A(2,2) 00001 DEG(2,1,3) 00000 DEG(2,2,3) 00000 DEG(2,3,3) 00001 DEG(2,4,3) -8.28500D 06 A(2,3) 00000 DEG(2,1,4) 00000 DEG(2,2,4) 00001 DEG(2,3,4) 00001 DEG(2,4,4) 2.28400D 07 A(2,4) 00000 DEG(2,1,5) 00000 DEG(2,2,5) 00001 DEG(2,3,5) 00000 DEG(2,4,5) -1.91800D 07 A(2,5) 00000 DEG(2,1,6) 00000 DEG(2,2,6) 00000 DEG(2,3,6) 00001 DEG(2,4,6) 48.4000D 00 A(2,6) 00000 DEG(2,1,7) 00000 DEG(2,2,7) 00000 DEG(2,3,7) 00000 DEG(2,4,7) -27.7300D 00 A(2,7) 00002 NUMTRM(3) 00002 DEG(3,1,1) 00000 DEG(3,2,1) 00000 DEG(3,3,1) 00000 DEG(3,4,1) 1.00000D 00 A(3,1) 00000 DEG(3,1,2) 00001 DEG(3,2,2) 00000 DEG(3,3,2) 00000 DEG(3,4,2) -1.00000D 00 A(3,2) 00002 NUMTRM(4) 00000 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00002 DEG(4,4,1) 1.00000D 00 A(4,1) 00000 DEG(4,1,2) 00000 DEG(4,2,2) 00001 DEG(4,3,2) 00000 DEG(4,4,2) -1.00000D 00 A(4,2) 0.0D 00 D0(1,1) 1.0D 00 D0(2,1) 0.0D 00 D0(1,2) 1.0D 00 D0(2,2) 0.0D 00 D0(1,3) 1.0D 00 D0(2,3) 0.0D 00 D0(1,4) 1.0D 00 D0(2,4) Test problem no. 11 -- a robot kinematics problem......... 00008 N 00007 NUMTRM(1) 00001 DEG(1,1,1) 00000 DEG(1,2,1) 00001 DEG(1,3,1) 00000 DEG(1,4,1) 00000 DEG(1,5,1) 00000 DEG(1,6,1) 00000 DEG(1,7,1) 00000 DEG(1,8,1) 4.7310D-03 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) 00001 DEG(1,3,2) 00000 DEG(1,4,2) 00000 DEG(1,5,2) 00000 DEG(1,6,2) 00000 DEG(1,7,2) 00000 DEG(1,8,2) -.3578D 00 A(1,2) 00001 DEG(1,1,3) 00000 DEG(1,2,3) 00000 DEG(1,3,3) 00000 DEG(1,4,3) 00000 DEG(1,5,3) 00000 DEG(1,6,3) 00000 DEG(1,7,3) 00000 DEG(1,8,3) -.12380D 00 A(1,3) 00000 DEG(1,1,4) 00001 DEG(1,2,4) 00000 DEG(1,3,4) 00000 DEG(1,4,4) 00000 DEG(1,5,4) 00000 DEG(1,6,4) 00000 DEG(1,7,4) 00000 DEG(1,8,4) -1.6370D-03 A(1,4) 00000 DEG(1,1,5) 00000 DEG(1,2,5) 00000 DEG(1,3,5) 00001 DEG(1,4,5) 00000 DEG(1,5,5) 00000 DEG(1,6,5) 00000 DEG(1,7,5) 00000 DEG(1,8,5) -.93380D 00 A(1,5) 00000 DEG(1,1,6) 00000 DEG(1,2,6) 00000 DEG(1,3,6) 00000 DEG(1,4,6) 00000 DEG(1,5,6) 00000 DEG(1,6,6) 00001 DEG(1,7,6) 00000 DEG(1,8,6) .10000D 01 A(1,6) 00000 DEG(1,1,7) 00000 DEG(1,2,7) 00000 DEG(1,3,7) 00000 DEG(1,4,7) 00000 DEG(1,5,7) 00000 DEG(1,6,7) 00000 DEG(1,7,7) 00000 DEG(1,8,7) -.35710D 00 A(1,7) 00006 NUMTRM(2) 00001 DEG(2,1,1) 00000 DEG(2,2,1) 00001 DEG(2,3,1) 00000 DEG(2,4,1) 00000 DEG(2,5,1) 00000 DEG(2,6,1) 00000 DEG(2,7,1) 00000 DEG(2,8,1) .22380D 00 A(2,1) 00000 DEG(2,1,2) 00001 DEG(2,2,2) 00001 DEG(2,3,2) 00000 DEG(2,4,2) 00000 DEG(2,5,2) 00000 DEG(2,6,2) 00000 DEG(2,7,2) 00000 DEG(2,8,2) .762300D 00 A(2,2) 00001 DEG(2,1,3) 00000 DEG(2,2,3) 00000 DEG(2,3,3) 00000 DEG(2,4,3) 00000 DEG(2,5,3) 00000 DEG(2,6,3) 00000 DEG(2,7,3) 00000 DEG(2,8,3) .26380D 00 A(2,3) 00000 DEG(2,1,4) 00001 DEG(2,2,4) 00000 DEG(2,3,4) 00000 DEG(2,4,4) 00000 DEG(2,5,4) 00000 DEG(2,6,4) 00000 DEG(2,7,4) 00000 DEG(2,8,4) -.77450D-01 A(2,4) 00000 DEG(2,1,5) 00000 DEG(2,2,5) 00000 DEG(2,3,5) 00001 DEG(2,4,5) 00000 DEG(2,5,5) 00000 DEG(2,6,5) 00000 DEG(2,7,5) 00000 DEG(2,8,5) -.67340D 00 A(2,5) 00000 DEG(2,1,6) 00000 DEG(2,2,6) 00000 DEG(2,3,6) 00000 DEG(2,4,6) 00000 DEG(2,5,6) 00000 DEG(2,6,6) 00000 DEG(2,7,6) 00000 DEG(2,8,6) -.60220D 00 A(2,6) 00003 NUMTRM(3) 00000 DEG(3,1,1) 00000 DEG(3,2,1) 00000 DEG(3,3,1) 00000 DEG(3,4,1) 00000 DEG(3,5,1) 00001 DEG(3,6,1) 00000 DEG(3,7,1) 00001 DEG(3,8,1) 1.0000D 00 A(3,1) 00001 DEG(3,1,2) 00000 DEG(3,2,2) 00000 DEG(3,3,2) 00000 DEG(3,4,2) 00000 DEG(3,5,2) 00000 DEG(3,6,2) 00000 DEG(3,7,2) 00000 DEG(3,8,2) .35780D 00 A(3,2) 00000 DEG(3,1,3) 00001 DEG(3,2,3) 00000 DEG(3,3,3) 00000 DEG(3,4,3) 00000 DEG(3,5,3) 00000 DEG(3,6,3) 00000 DEG(3,7,3) 00000 DEG(3,8,3) 4.7310D-03 A(3,3) 00003 NUMTRM(4) 00001 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00000 DEG(4,4,1) 00000 DEG(4,5,1) 00000 DEG(4,6,1) 00000 DEG(4,7,1) 00000 DEG(4,8,1) -.76230D 00 A(4,1) 00000 DEG(4,1,2) 00001 DEG(4,2,2) 00000 DEG(4,3,2) 00000 DEG(4,4,2) 00000 DEG(4,5,2) 00000 DEG(4,6,2) 00000 DEG(4,7,2) 00000 DEG(4,8,2) .22380D 00 A(4,2) 00000 DEG(4,1,3) 00000 DEG(4,2,3) 00000 DEG(4,3,3) 00000 DEG(4,4,3) 00000 DEG(4,5,3) 00000 DEG(4,6,3) 00000 DEG(4,7,3) 00000 DEG(4,8,3) .34610D 00 A(4,3) 00003 NUMTRM(5) 00002 DEG(5,1,1) 00000 DEG(5,2,1) 00000 DEG(5,3,1) 00000 DEG(5,4,1) 00000 DEG(5,5,1) 00000 DEG(5,6,1) 00000 DEG(5,7,1) 00000 DEG(5,8,1) 1.0000D 00 A(5,1) 00000 DEG(5,1,2) 00002 DEG(5,2,2) 00000 DEG(5,3,2) 00000 DEG(5,4,2) 00000 DEG(5,5,2) 00000 DEG(5,6,2) 00000 DEG(5,7,2) 00000 DEG(5,8,2) 1.0000D 00 A(5,2) 00000 DEG(5,1,3) 00000 DEG(5,2,3) 00000 DEG(5,3,3) 00000 DEG(5,4,3) 00000 DEG(5,5,3) 00000 DEG(5,6,3) 00000 DEG(5,7,3) 00000 DEG(5,8,3) -1.0000D 00 A(5,3) 00003 NUMTRM(6) 00000 DEG(6,1,1) 00000 DEG(6,2,1) 00002 DEG(6,3,1) 00000 DEG(6,4,1) 00000 DEG(6,5,1) 00000 DEG(6,6,1) 00000 DEG(6,7,1) 00000 DEG(6,8,1) 1.0000D 00 A(6,1) 00000 DEG(6,1,2) 00000 DEG(6,2,2) 00000 DEG(6,3,2) 00002 DEG(6,4,2) 00000 DEG(6,5,2) 00000 DEG(6,6,2) 00000 DEG(6,7,2) 00000 DEG(6,8,2) 1.0000D 00 A(6,2) 00000 DEG(6,1,3) 00000 DEG(6,2,3) 00000 DEG(6,3,3) 00000 DEG(6,4,3) 00000 DEG(6,5,3) 00000 DEG(6,6,3) 00000 DEG(6,7,3) 00000 DEG(6,8,3) -1.0000D 00 A(6,3) 00003 NUMTRM(7) 00000 DEG(7,1,1) 00000 DEG(7,2,1) 00000 DEG(7,3,1) 00000 DEG(7,4,1) 00002 DEG(7,5,1) 00000 DEG(7,6,1) 00000 DEG(7,7,1) 00000 DEG(7,8,1) 1.0000D 00 A(7,1) 00000 DEG(7,1,2) 00000 DEG(7,2,2) 00000 DEG(7,3,2) 00000 DEG(7,4,2) 00000 DEG(7,5,2) 00002 DEG(7,6,2) 00000 DEG(7,7,2) 00000 DEG(7,8,2) 1.0000D 00 A(7,2) 00000 DEG(7,1,3) 00000 DEG(7,2,3) 00000 DEG(7,3,3) 00000 DEG(7,4,3) 00000 DEG(7,5,3) 00000 DEG(7,6,3) 00000 DEG(7,7,3) 00000 DEG(7,8,3) -1.0000D 00 A(7,3) 00003 NUMTRM(8) 00000 DEG(8,1,1) 00000 DEG(8,2,1) 00000 DEG(8,3,1) 00000 DEG(8,4,1) 00000 DEG(8,5,1) 00000 DEG(8,6,1) 00002 DEG(8,7,1) 00000 DEG(8,8,1) 1.0000D 00 A(8,1) 00000 DEG(8,1,2) 00000 DEG(8,2,2) 00000 DEG(8,3,2) 00000 DEG(8,4,2) 00000 DEG(8,5,2) 00000 DEG(8,6,2) 00000 DEG(8,7,2) 00002 DEG(8,8,2) 1.0000D 00 A(8,2) 00000 DEG(8,1,3) 00000 DEG(8,2,3) 00000 DEG(8,3,3) 00000 DEG(8,4,3) 00000 DEG(8,5,3) 00000 DEG(8,6,3) 00000 DEG(8,7,3) 00000 DEG(8,8,3) -1.0000D 00 A(8,3) -1.0D 00 D0(1,1) 1.0D 00 D0(2,1) -1.0D 00 D0(1,2) 1.0D 00 D0(2,2) -1.0D 00 D0(1,3) 1.0D 00 D0(2,3) -1.0D 00 D0(1,4) 1.0D 00 D0(2,4) -1.0D 00 D0(1,5) 1.0D 00 D0(2,5) -1.0D 00 D0(1,6) 1.0D 00 D0(2,6) -1.0D 00 D0(1,7) 1.0D 00 D0(2,7) -1.0D 00 D0(1,8) 1.0D 00 D0(2,8) Test problem no. 12 -- a numerical bifurcation problem.... 00003 N 00004 NUMTRM(1) 00009 DEG(1,1,1) 00000 DEG(1,2,1) 00000 DEG(1,3,1) .500000D 01 A(1,1) 00005 DEG(1,1,2) 00002 DEG(1,2,2) 00000 DEG(1,3,2) -.600000D 01 A(1,2) 00001 DEG(1,1,3) 00004 DEG(1,2,3) 00000 DEG(1,3,3) .100000D 01 A(1,3) 00001 DEG(1,1,4) 00000 DEG(1,2,4) 00001 DEG(1,3,4) .200000D 01 A(1,4) 00003 NUMTRM(2) 00006 DEG(2,1,1) 00001 DEG(2,2,1) 00000 DEG(2,3,1) -.200000D 01 A(2,1) 00002 DEG(2,1,2) 00003 DEG(2,2,2) 00000 DEG(2,3,2) .200000D 01 A(2,2) 00000 DEG(2,1,3) 00001 DEG(2,2,3) 00001 DEG(2,3,3) .200000D 01 A(2,3) 00003 NUMTRM(3) 00002 DEG(3,1,1) 00000 DEG(3,2,1) 00000 DEG(3,3,1) .100000D 01 A(3,1) 00000 DEG(3,1,2) 00002 DEG(3,2,2) 00000 DEG(3,3,2) .100000D 01 A(3,2) 00000 DEG(3,1,3) 00000 DEG(3,2,3) 00000 DEG(3,3,3) -.265625D 00 A(3,3) -0.6D 00 D0(1,1) 0.6D 00 D0(2,1) -0.6D 00 D0(1,2) 0.6D 00 D0(2,2) -5.0D 00 D0(1,3) 5.0D 00 D0(2,3) Test problem no. 14 -- two intersecting parabolas......... 00002 N 00002 NUMTRM(1) 00002 DEG(1,1,1) 00000 DEG(1,2,1) +.10000D 01 A(1,1) 00000 DEG(1,1,2) 00001 DEG(1,2,2) -.40000D 01 A(1,2) 00003 NUMTRM(2) 00000 DEG(2,1,1) 00002 DEG(2,2,1) +.10000D 01 A(2,1) 00001 DEG(2,1,2) 00000 DEG(2,2,2) -.20000D 01 A(2,2) 00000 DEG(2,1,3) 00001 DEG(2,2,3) +.40000D 01 A(2,3) -.400000+01 D0(1,1) +.400000+01 D0(2,1) -.400000+01 D0(1,2) +.400000+01 D0(2,2) Test problem no. 15 -- Rosenbrock's function.............. 00002 N 00002 NUMTRM(1) 00001 DEG(1,1,1) 00000 DEG(1,2,1) -.1D 01 A(1,1) 00000 DEG(1,1,2) 00000 DEG(1,2,2) .1D 01 A(1,2) 00002 NUMTRM(2) 00002 DEG(2,1,1) 00000 DEG(2,2,1) -.1D 02 A(2,1) 00000 DEG(2,1,2) 00001 DEG(2,2,2) .1D 02 A(2,2) -.4D 01 D0(1,1) .4D 01 D0(2,1) -.4D 01 D0(1,2) .4D 01 D0(2,2) Test problem 16 -- a variable-dimension system of quadrics 00004 N 00004 NUMTRM(1) 00002 DEG(1,1,1) 00000 DEG(1,2,1) 00000 DEG(1,3,1) 00000 DEG(1,4,1) .100D 01 A(1,1) 00001 DEG(1,1,2) 00000 DEG(1,2,2) 00000 DEG(1,3,2) 00000 DEG(1,4,2) -.200D 00 A(1,2) 00000 DEG(1,1,3) 00001 DEG(1,2,3) 00000 DEG(1,3,3) 00000 DEG(1,4,3) .100D 01 A(1,3) 00000 DEG(1,1,4) 00000 DEG(1,2,4) 00000 DEG(1,3,4) 00000 DEG(1,4,4) -.900D-01 A(1,4) 00004 NUMTRM(2) 00000 DEG(2,1,1) 00002 DEG(2,2,1) 00000 DEG(2,3,1) 00000 DEG(2,4,1) .100D 01 A(2,1) 00000 DEG(2,1,2) 00001 DEG(2,2,2) 00000 DEG(2,3,2) 00000 DEG(2,4,2) -.200D 00 A(2,2) 00000 DEG(2,1,3) 00000 DEG(2,2,3) 00001 DEG(2,3,3) 00000 DEG(2,4,3) .100D 01 A(2,3) 00000 DEG(2,1,4) 00000 DEG(2,2,4) 00000 DEG(2,3,4) 00000 DEG(2,4,4) -.900D-01 A(2,4) 00004 NUMTRM(3) 00000 DEG(3,1,1) 00000 DEG(3,2,1) 00002 DEG(3,3,1) 00000 DEG(3,4,1) .100D 01 A(3,1) 00000 DEG(3,1,2) 00000 DEG(3,2,2) 00001 DEG(3,3,2) 00000 DEG(3,4,2) -.200D 00 A(3,2) 00000 DEG(3,1,3) 00000 DEG(3,2,3) 00000 DEG(3,3,3) 00001 DEG(3,4,3) .100D 01 A(3,3) 00000 DEG(3,1,4) 00000 DEG(3,2,4) 00000 DEG(3,3,4) 00000 DEG(3,4,4) -.900D-01 A(3,4) 00004 NUMTRM(4) 00000 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00002 DEG(4,4,1) .100D 01 A(4,1) 00000 DEG(4,1,2) 00000 DEG(4,2,2) 00000 DEG(4,3,2) 00001 DEG(4,4,2) -.200D 00 A(4,2) 00001 DEG(4,1,3) 00000 DEG(4,2,3) 00000 DEG(4,3,3) 00000 DEG(4,4,3) .100D 01 A(4,3) 00000 DEG(4,1,4) 00000 DEG(4,2,4) 00000 DEG(4,3,4) 00000 DEG(4,4,4) -.900D-01 A(4,4) -0.2D 00 D0(1,1) 0.2D 00 D0(2,1) -0.2D 00 D0(1,2) 0.2D 00 D0(2,2) -0.2D 00 D0(1,3) 0.2D 00 D0(2,3) -0.2D 00 D0(1,4) 0.2D 00 D0(2,4) Test problem no. 17 -- Broyden's banded function with N=5. 00005 N 00005 NUMTRM(1) 00003 DEG(1,1,1) 00000 DEG(1,2,1) 00000 DEG(1,3,1) 00000 DEG(1,4,1) 00000 DEG(1,5,1) .500D 01 A(1,1) 00001 DEG(1,1,2) 00000 DEG(1,2,2) 00000 DEG(1,3,2) 00000 DEG(1,4,2) 00000 DEG(1,5,2) .200D 01 A(1,2) 00000 DEG(1,1,3) 00002 DEG(1,2,3) 00000 DEG(1,3,3) 00000 DEG(1,4,3) 00000 DEG(1,5,3) -.100D 01 A(1,3) 00000 DEG(1,1,4) 00001 DEG(1,2,4) 00000 DEG(1,3,4) 00000 DEG(1,4,4) 00000 DEG(1,5,4) -.100D 01 A(1,4) 00000 DEG(1,1,5) 00000 DEG(1,2,5) 00000 DEG(1,3,5) 00000 DEG(1,4,5) 00000 DEG(1,5,5) .100D 01 A(1,5) 00007 NUMTRM(2) 00002 DEG(2,1,1) 00000 DEG(2,2,1) 00000 DEG(2,3,1) 00000 DEG(2,4,1) 00000 DEG(2,5,1) -.100D 01 A(2,1) 00001 DEG(2,1,2) 00000 DEG(2,2,2) 00000 DEG(2,3,2) 00000 DEG(2,4,2) 00000 DEG(2,5,2) -.100D 01 A(2,2) 00000 DEG(2,1,3) 00003 DEG(2,2,3) 00000 DEG(2,3,3) 00000 DEG(2,4,3) 00000 DEG(2,5,3) .500D 01 A(2,3) 00000 DEG(2,1,4) 00001 DEG(2,2,4) 00000 DEG(2,3,4) 00000 DEG(2,4,4) 00000 DEG(2,5,4) .200D 01 A(2,4) 00000 DEG(2,1,5) 00000 DEG(2,2,5) 00002 DEG(2,3,5) 00000 DEG(2,4,5) 00000 DEG(2,5,5) -.100D 01 A(2,5) 00000 DEG(2,1,6) 00000 DEG(2,2,6) 00001 DEG(2,3,6) 00000 DEG(2,4,6) 00000 DEG(2,5,6) -.100D 01 A(2,6) 00000 DEG(2,1,7) 00000 DEG(2,2,7) 00000 DEG(2,3,7) 00000 DEG(2,4,7) 00000 DEG(2,5,7) .100D 01 A(2,7) 00009 NUMTRM(3) 00002 DEG(3,1,1) 00000 DEG(3,2,1) 00000 DEG(3,3,1) 00000 DEG(3,4,1) 00000 DEG(3,5,1) -.100D 01 A(3,1) 00001 DEG(3,1,2) 00000 DEG(3,2,2) 00000 DEG(3,3,2) 00000 DEG(3,4,2) 00000 DEG(3,5,2) -.100D 01 A(3,2) 00000 DEG(3,1,3) 00002 DEG(3,2,3) 00000 DEG(3,3,3) 00000 DEG(3,4,3) 00000 DEG(3,5,3) -.100D 01 A(3,3) 00000 DEG(3,1,4) 00001 DEG(3,2,4) 00000 DEG(3,3,4) 00000 DEG(3,4,4) 00000 DEG(3,5,4) -.100D 01 A(3,4) 00000 DEG(3,1,5) 00000 DEG(3,2,5) 00003 DEG(3,3,5) 00000 DEG(3,4,5) 00000 DEG(3,5,5) .500D 01 A(3,5) 00000 DEG(3,1,6) 00000 DEG(3,2,6) 00001 DEG(3,3,6) 00000 DEG(3,4,6) 00000 DEG(3,5,6) .200D 01 A(3,6) 00000 DEG(3,1,7) 00000 DEG(3,2,7) 00000 DEG(3,3,7) 00002 DEG(3,4,7) 00000 DEG(3,5,7) -.100D 01 A(3,7) 00000 DEG(3,1,8) 00000 DEG(3,2,8) 00000 DEG(3,3,8) 00001 DEG(3,4,8) 00000 DEG(3,5,8) -.100D 01 A(3,8) 00000 DEG(3,1,8) 00000 DEG(3,2,8) 00000 DEG(3,3,8) 00000 DEG(3,4,8) 00000 DEG(3,5,8) .100D 01 A(3,8) 00011 NUMTRM(4) 00002 DEG(4,1,1) 00000 DEG(4,2,1) 00000 DEG(4,3,1) 00000 DEG(4,4,1) 00000 DEG(4,5,1) -.100D 01 A(4,1) 00001 DEG(4,1,2) 00000 DEG(4,2,2) 00000 DEG(4,3,2) 00000 DEG(4,4,2) 00000 DEG(4,5,2) -.100D 01 A(4,2) 00000 DEG(4,1,3) 00002 DEG(4,2,3) 00000 DEG(4,3,3) 00000 DEG(4,4,3) 00000 DEG(4,5,3) -.100D 01 A(4,3) 00000 DEG(4,1,4) 00001 DEG(4,2,4) 00000 DEG(4,3,4) 00000 DEG(4,4,4) 00000 DEG(4,5,4) -.100D 01 A(4,4) 00000 DEG(4,1,5) 00000 DEG(4,2,5) 00002 DEG(4,3,5) 00000 DEG(4,4,5) 00000 DEG(4,5,5) -.100D 01 A(4,5) 00000 DEG(4,1,6) 00000 DEG(4,2,6) 00001 DEG(4,3,6) 00000 DEG(4,4,6) 00000 DEG(4,5,6) -.100D 01 A(4,6) 00000 DEG(4,1,7) 00000 DEG(4,2,7) 00000 DEG(4,3,7) 00003 DEG(4,4,7) 00000 DEG(4,5,7) .500D 01 A(4,7) 00000 DEG(4,1,8) 00000 DEG(4,2,8) 00000 DEG(4,3,8) 00001 DEG(4,4,8) 00000 DEG(4,5,8) .200D 01 A(4,8) 00000 DEG(4,1,9) 00000 DEG(4,2,9) 00000 DEG(4,3,9) 00000 DEG(4,4,8) 00002 DEG(4,5,9) -.100D 01 A(4,9) 00000 DEG(4,1,10) 00000 DEG(4,2,10) 00000 DEG(4,3,10) 00000 DEG(4,4,10) 00001 DEG(4,5,10) -.100D 01 A(4,10) 00000 DEG(4,1,11) 00000 DEG(4,2,11) 00000 DEG(4,3,11) 00000 DEG(4,4,11) 00000 DEG(4,5,11) .100D 01 A(4,11) 00011 NUMTRM(5) 00002 DEG(5,1,1) 00000 DEG(5,2,1) 00000 DEG(5,3,1) 00000 DEG(5,4,1) 00000 DEG(5,5,1) -.100D 01 A(5,1) 00001 DEG(5,1,2) 00000 DEG(5,2,2) 00000 DEG(5,3,2) 00000 DEG(5,4,2) 00000 DEG(5,5,2) -.100D 01 A(5,2) 00000 DEG(5,1,3) 00002 DEG(5,2,3) 00000 DEG(5,3,3) 00000 DEG(5,4,3) 00000 DEG(5,5,3) -.100D 01 A(5,3) 00000 DEG(5,1,4) 00001 DEG(5,2,4) 00000 DEG(5,3,4) 00000 DEG(5,4,4) 00000 DEG(5,5,4) -.100D 01 A(5,4) 00000 DEG(5,1,5) 00000 DEG(5,2,5) 00002 DEG(5,3,5) 00000 DEG(5,4,5) 00000 DEG(5,5,5) -.100D 01 A(5,5) 00000 DEG(5,1,6) 00000 DEG(5,2,6) 00001 DEG(5,3,6) 00000 DEG(5,4,6) 00000 DEG(5,5,6) -.100D 01 A(5,6) 00000 DEG(5,1,7) 00000 DEG(5,2,7) 00000 DEG(5,3,7) 00002 DEG(5,4,7) 00000 DEG(5,5,7) -.100D 01 A(5,7) 00000 DEG(5,1,8) 00000 DEG(5,2,8) 00000 DEG(5,3,8) 00001 DEG(5,4,8) 00000 DEG(5,5,8) -.100D 01 A(5,8) 00000 DEG(5,1,9) 00000 DEG(5,2,9) 00000 DEG(5,3,9) 00000 DEG(5,4,9) 00003 DEG(5,5,9) .500D 01 A(5,9) 00000 DEG(5,1,10) 00000 DEG(5,2,10) 00000 DEG(5,3,10) 00000 DEG(5,4,10) 00001 DEG(5,5,10) .200D 01 A(5,10) 00000 DEG(5,1,11) 00000 DEG(5,2,11) 00000 DEG(5,3,11) 00000 DEG(5,4,11) 00000 DEG(5,5,11) .100D 01 A(5,11) -1.0D 00 D0(1,1) 1.0D 00 D0(2,1) -1.0D 00 D0(1,2) 1.0D 00 D0(2,2) -1.0D 00 D0(1,3) 1.0D 00 D0(2,3) -1.0D 00 D0(1,4) 1.0D 00 D0(2,4) -1.0D 00 D0(1,5) 1.0D 00 D0(2,5)