From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 3 12:12:43 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h73HChp19216 for reliable_computing-outgoing; Sun, 3 Aug 2003 12:12:43 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h73HCc919212 for ; Sun, 3 Aug 2003 12:12:38 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h73HCYp26887 for ; Sun, 3 Aug 2003 11:12:34 -0600 (MDT) Message-Id: <200308031712.h73HCYp26887 [at] cs [dot] utep.edu> Date: Sun, 3 Aug 2003 11:12:34 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: PARA'2004, WORKSHOP ON STATE-OF-THE-ART IN SCIENTIFIC COMPUTING, Lyngby, Denmark To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: f8wPNMRyNLhe53NxLB7u/A== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, This is a new CFP. As you may remember, Jaj Madsen, one of the main organizers, plans to have an interval session at this meeting. ------------- Begin Forwarded Message ------------- Mailing-List: contact para-l-help [at] net [dot] uni-c.dk; run by ezmlm Delivered-To: mailing list para-l [at] net [dot] uni-c.dk Date: Fri, 1 Aug 2003 15:41:57 +0200 (METDST) From: Jerzy Wasniewski ============================================== PARA04 WORKSHOP ON STATE-OF-THE-ART IN SCIENTIFIC COMPUTING June 20-23, 2004 http://imm.dtu.dk/~jw/para04/ Jul 31, 2003 ------------------------------------------------- ORGANIZERS: Jack Dongarra, University of Tennessee and Oak Ridge Nat. Lab. Kaj Madsen, Technical University of Denmark Jerzy Wasniewski, Technical University of Denmark DATES: June 20, 2004: Tutorial (topic to be announced later) June 21-23, 2004: PARA04 Workshop sessions PLACE: Technical University of Denmark, Lyngby, DENMARK FEATURE: Key lectures, topical mini-symposia, a limited number of contributed talks, and Poster sessions will be selected for the workshop. DEADLINES: Mini-symposium proposals: October 30, 2003 Notification of acceptance: November 9, 2003 Abstracts (one page): January 31, 2004 Notification of acceptance: February 15, 2004 Extended abstracts (at most 7 pages): March 15, 2004 CONFERENCE PROCEEDINGS: The PARA04 Proceedings with extended abstracts will be published for the workshop. We are planning to select a few of the papers for a special issue of a journal related to scientific computing. FURTHER INFORMATION: The PARA04 URL: http://imm.dtu.dk/~jw/para04/ will successively be updated. It will contain all the necessary information. The extra announcements will, from time to time, be distributed by the para-l mailing list. Mailing list: To subscribe, send a dummy message to para-l-subscribe [at] net [dot] uni-c.dk To discontinue, send a dummy message to para-l-unsubscribe [at] net [dot] uni-c.dk Inquiries: PARA04, IMM, DTU, Bldg. 321 2800 Lyngby, Denmark Attn: Jerzy Wasniewski Email: jw [at] imm [dot] dtu.dk Tel: +45 45 25 30 76 or +45 22 64 38 91 Fax: +45 45 88 26 73 SOCIAL EVENTS: A reception June 20 and a conference dinner in the Danish Royal Theater either June 21 or June 22 are planned. We will see an opera after the dinner. The evening of June 23 is a special evening in Denmark, the evening before the St. Hans Day. There is a special celebration in this evening, Bon-fires on the beaches. A watching of the Bon-fires will be organized for those who will stay here the whole day of June 23. A special entertainments for accompanying persons are planned. ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Aug 6 21:25:19 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h772PIu23232 for reliable_computing-outgoing; Wed, 6 Aug 2003 21:25:18 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h772PA923228 for ; Wed, 6 Aug 2003 21:25:11 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h772OuM19089; Wed, 6 Aug 2003 20:24:56 -0600 (MDT) Message-Id: <200308070224.h772OuM19089 [at] cs [dot] utep.edu> Date: Wed, 6 Aug 2003 20:24:56 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: gurpV1qMJPxfVXc8Wd7M+w== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk The organizers would like to have some interval talks. Vladik ********************************************************************** SECOND ANNOUNCEMENT AND CALL FOR PAPERS Fourth International Conference on Intelligent Commitee Technologies (Intech'03) December 17-19, 2003 Chiang Mai Hill Hotel, Thailand A Promising Road to Intelligent Technologies http://www.ist.cmu.ac.th/intech Co-organized by: * Institute for Science and Technology Research and Development, Chiang Mai University, Thailand * Assumption University, Thailand * Fuzzy System and Intelligent Technologies Research Society of Thailand (FIRST) * Japan Society of Fuzzy Theory and intelligent informatics (SOFT) Sponsored by: Chiang Mai University The aims of InTech'03 are to: * Bring together researchers and practitioners in order to exchange their ideas and discuss issues occurred when implementing intelligent and fuzzy technologies in real-world environment. * Provide a forum for discussion of new research areas, results and issues. * Encourage international research in intelligent and fuzzy technologies. Topics of InTech'03 include, but not limited to: * Mathematical Foundations of Intelligent Technologies * Traditional Artificial Intelligent Techniques * Uncertainty Processing and Methods of Soft Computing * Learning/Adaptive Systems/Data Mining * Applications of Intelligent Technologies Call for Papers: Papers related to both theoretical and real-world applications in the areas listed above are welcome. The maximum number of pages are 10 pages including all tables, figures and references. Over-length and late submission papers will be rejected without review. Electronic paper submission (.pdf files) is required. Detailed information is given on the website. Language: The official language is English Proceedings: Proceedings will be distributed to participants during the conference. Selected, extended and revised papers from InTech'03 will be published in a Special issue of the International Journal of Advanced Computational Intelligence and that of the Pacific Journal on Intelligent Technologies and Applied Statistics. Important Dates: Submission deadline August 30, 2003 Acceptance notification October 10, 2003 Camera ready due October 22, 2003 Registration fee due October 22, 2003 Registration: The registration fee covers participation at the conference, cocktail reception, lunches, tea/coffee during the session. Conference Fees: Early Bird (Payment received by 22 Oct. 03) 250 USD Standard (Payment received after 22 Oct. 03) 300 USD For Students 150 USD Contact Infoamtion: All correspondence regarding the conference should be addressed to: Kumkrua Suwanasri (Secretary) E-mail: kumkrua [at] ist [dot] cmu.ac.th Address: Institute for Science and Technology Research and Development P.O. Box 111 Chiang Mai University, Chiang Mai 50200 Thailand Tel.: +66 53 94 2478 Fax: +66 53 94 2478 International Program Committee * Adlassnig, Klaus-Peter (Vienna, Austria) * Avatchanakorn, Vichit (Assumption University, Thailand) * Batovski, Dobri (Assumption University,Thailand) * Bouchon-Meunier, Bernadette (Paris, France) * Boussak, Mohamed (Marseille, France) * Cao Tru Hoang (Ho Chi Minh City, Vietnam) * Castillo, Oscar (Tijuana, Mexico) * Chongstitvatana, Prabhas (Thailand) * Cuong, Bui Cong (Hanoi, Vietnam) * Daengdej, Jirapun (Thailand) * Dai, Honghua (Australia) * Dansuwan, Suyada (Thailand) * Dhompongsa, Sompong (Chiang Mai, Thailand) * Diamond, Phillip (Queensland, Australia) * Ding, Liya (Macau, China) * Dung, Phan Minh (Thailand) * Haddawy, Peter (Pasadena, California, USA) * Hajek, Petr (Prague, Czech Republic) * Hewett, Rattikorn (Florida, USA) * Hirota, Kaoru (Tokyo, Japan) * Ho, Nguyen Cat (Hanoi, Vietnam) * Huy Nguyen Xuan (Hanoi, Vietnam) * Jittawiriyanukoon, C. (Thailand) * Kaino, Toshihiro (Japan) * Kalra, Prem Kumar (India) * Kawtrakul, Asanee (Thailand) * Keretho, Somnuk (Thailand) * Khang, Bach Hung (Hanoi, Vietnam) * Kiem, Hoang (HCM City, Vietnam) * Kijsirikul, Boonserm (Thailand) * Kohout, Ladislav J. (Florida, USA) * Kosko, Bart (Los Angeles, California, USA) * Kreinovich, Vladik (El Paso, Texas, USA) * Li Yuefeng of Technology (Brisbane, Queensland, Australia) * Lukose, Dickson (USA) * Lursinsap, Chidchanok (Thailand) * Mai, Luong Chi (Hanoi, Vietnam) * Mitaim, Sanya (Thailand) * Mukaidono, Masao (Japan) * Nakamura Akira (Japan) * Nakata Michinori (Japan) * Nguyen, Hung T. (Las Cruces, New Mexico, USA) * Nontakao, Supavadee (Thailand) * Onisawa, Takehisa (Tsukuba, Japan) * Pal, Sankar (India) * Permpoontanalarp, Yongyuth (Thailand) * Petry, Fred (Tulane University, USA) * Pham Duc Truong (Cardiff, U.K.) * Phuong, Nguyen (Hanoi, Vietnam) * Prasad, Nadipuram (Las Cruces, New Mexico, USA) * Ralescu, Dan (Cincinnati, Ohio, USA) * Rybalov, Alexander (Jerusalem, Israel) * Sanchez, Elie (Marseille, France) * Santiprabhob, Pratit (Thailand) * Shibata, Takanori (Japan) * Shiizuka, Hisao (Japan) * Soroka, Anthony (Cardiff, U.K.) * Sortrakul, Thotsapon (Thailand) * Sugeno, Michio (Japan) * Tanprasert, Chularat (Thailand) * Tanprasert, Thitipong (Thailand) * Tao, Ngo Quoc (Hanoi, Vietnam) * Thawonmas, Ruck (Japan) * Thuy, Nguyen (Hanoi, Vietnam) * To, Tang Van (Thailand) * Toan, Nguyen Quoc (Hanoi, Vietnam) * Vinh, Thai Quang (Hanoi, Vietnam) * Walker, Carol L. (Las Cruces, New Mexico, USA) * Walker Elbert A. (Las Cruces, New Mexico, USA) * Winley, Graham (Thailand) * Wu, Berlin (Taipei, Taiwan) * Yager, Ronald R. (New York, USA) * Yam, Yeung (Hong Kong, China) * Yamada, Koichi (Nagaoka, Japan) * Yamaguchi, Tohoru (Japan) * Yubazaki, Naoyoshi (Japan) * Zhang, Chengqi (Sydney, Australia) * Zhang, Minjie (Wollongong, Australia) From owner-reliable_computing [at] interval [dot] louisiana.edu Thu Aug 7 18:34:37 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h77NYaF24443 for reliable_computing-outgoing; Thu, 7 Aug 2003 18:34:36 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h77NYW924439 for ; Thu, 7 Aug 2003 18:34:32 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h77NYQd25959; Thu, 7 Aug 2003 17:34:26 -0600 (MDT) Message-Id: <200308072334.h77NYQd25959 [at] cs [dot] utep.edu> Date: Thu, 7 Aug 2003 17:34:25 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: interval session at FUZZ-IEEE 2004: P.S. To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: XWL9m+H9XeRUpdTwSAfq4w== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk International IEEE Conference on Fuzzy Systems FUZZ-IEEE 2004 Budapest, Hungary, July 25-29, 2004 to be held together with International Joint Conference on Neural Networks IJCNN 2004 KEY DATES Special Session proposals: November 15, 2003 Notification of acceptance: December 15, 2003 Paper submission: January 31, 2004 Notification of acceptance: March 15, 2004 Camera ready copies: May 15, 2004 From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Aug 8 09:45:19 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h78EjJ025455 for reliable_computing-outgoing; Fri, 8 Aug 2003 09:45:19 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h78Ej0925451 for ; Fri, 8 Aug 2003 09:45:00 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h78EimH29093; Fri, 8 Aug 2003 08:44:48 -0600 (MDT) Message-Id: <200308081444.h78EimH29093 [at] cs [dot] utep.edu> Date: Fri, 8 Aug 2003 08:44:47 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: interval-valued derivatives of nonsmooth functions To: reliable_computing [at] interval [dot] louisiana.edu Cc: ansobol@obs-nice.fr MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: wjUgCua5M2ZQPmF3iiJ8Eg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, A few weeks ago, we talked with Andrei Sobolevski from Nice on generalied derivatives in math and in interval computations. In Mathematics, there has been a lot of activity in this area, so we were discussing which of the numerous notions of generalized derivative best fits what, say, Baker Kearfott describes in his Optimization book: when we assign an interval value [-1,1] to the derivative of |x| at 0 and then naturally expand this definition to compositions. At that time, we were just comparing the resulting definition with some recollections, but now, after I made an ettempt to provide a general description of the corresponding interval derivative, Andrei found a survey, we are both reading into it now. I think this topic may be of interest to many people on the list. Or maybe some knows the answer already? Vladik ------------- Begin Forwarded Message ------------- Date: Fri, 8 Aug 2003 11:00:43 +0200 (CEST) From: Andrei Sobolevskii To: Vladik Kreinovich Subject: Re: translation of Toolbox MIME-Version: 1.0 Dear Vladik, I have just come across a very readable survey on nonsmooth generalizations of derivatives by one of the founding fathers of the subject: F. Clarke Nonsmooth analysis in control theory: a survey http://www.mat.uniroma2.it/~dott/ClarkeEJC.pdf Best, A. > P.S. Re your question about where Kearfott's dertivative of |x| falls among > purely mathematical definitions: we can define derivative f'(x) as the limit > lim f(x+h)-f(x))/h as h tends to 0. > > If the function is not differentiable, there is no limit, but we can have the > lower limit (liminf) and upper limit (limsup). They form an interval of all > possible values of such limits, which is exactly what Kearfott's idea is > capturing. > > This is just FYI. ------------- End Forwarded Message ------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Aug 8 12:25:39 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h78HPck25695 for reliable_computing-outgoing; Fri, 8 Aug 2003 12:25:39 -0500 (CDT) Received: from mailbox.univie.ac.at (mailbox.univie.ac.at [131.130.1.27]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h78HPX925691 for ; Fri, 8 Aug 2003 12:25:33 -0500 (CDT) Received: from univie.ac.at (edoras.mat.univie.ac.at [131.130.16.104]) by mailbox.univie.ac.at (8.12.2/8.12.2) with ESMTP id h78HP0O6023320; Fri, 8 Aug 2003 19:25:10 +0200 Message-ID: <3F33DCEB.4E8D23B1 [at] univie [dot] ac.at> Date: Fri, 08 Aug 2003 19:24:59 +0200 From: Arnold Neumaier Organization: University of Vienna X-Mailer: Mozilla 4.79 [en] (X11; U; Linux 2.4.18-27.7.x i686) X-Accept-Language: en, de MIME-Version: 1.0 To: Vladik Kreinovich CC: reliable_computing [at] interval [dot] louisiana.edu, ansobol@obs-nice.fr Subject: Re: interval-valued derivatives of nonsmooth functions References: <200308081444.h78EimH29093 [at] cs [dot] utep.edu> Content-Type: text/plain; charset=iso-8859-15 Content-Transfer-Encoding: 7bit X-DCC-ZID-Univie-Metrics: unet 4261; Body=4 Fuz1=4 Fuz2=4 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Vladik Kreinovich wrote: > generalied > derivatives in math and in interval computations. In Mathematics, there has > been a lot of activity in this area, so we were discussing which of the > numerous notions of generalized derivative best fits what, say, Baker Kearfott > describes in his Optimization book: when we assign an interval value [-1,1] to > the derivative of |x| at 0 and then naturally expand this definition to > compositions. See pp.173-175 in my book for what is needed to prove relevant existence and uniqueness results. Whe I wrote the book, I looked in some detail into various generaized derviatives, but found nothing algorithmically useful that was not covered by my concept of a Lipschitz set (defined by (6) in my book). Arnold Neumaier From owner-reliable_computing [at] interval [dot] louisiana.edu Fri Aug 8 12:40:38 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h78HecN25808 for reliable_computing-outgoing; Fri, 8 Aug 2003 12:40:38 -0500 (CDT) Received: from pop2.greatbasin.net (pop2.greatbasin.net [207.228.35.4]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h78HeW925804 for ; Fri, 8 Aug 2003 12:40:33 -0500 (CDT) Received: from D3HN8211 (rno-dsl0a-121.gbis.net [216.82.144.121]) by pop2.greatbasin.net (8.12.2/8.12.1) with SMTP id h78HeRnM025780; Fri, 8 Aug 2003 10:40:30 -0700 From: "Daniel H. Fylstra" To: "Vladik Kreinovich" , Cc: Subject: RE: interval-valued derivatives of nonsmooth functions Date: Fri, 8 Aug 2003 10:40:27 -0700 Message-ID: MIME-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Content-Transfer-Encoding: 7bit X-Priority: 3 (Normal) X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook IMO, Build 9.0.2416 (9.0.2911.0) In-Reply-To: <200308081444.h78EimH29093 [at] cs [dot] utep.edu> Importance: Normal X-MimeOLE: Produced By Microsoft MimeOLE V6.00.2800.1165 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Vladik, We are certainly interested in this topic, as it affects our software for computing with intervals and interval gradients, where we often encounter models with non-smooth functions. In our Premium Solver Platform for Microsoft Excel, an optimization software package (http://www.solver.com/xlsplatform.htm), we include an Interval Solver for global optimization. We compute both real gradients and interval gradients via automatic differentiation, over Excel formulas and a large number of built-in functions. Many Excel spreadsheet models use functions such as IF(a>b,c,d), and quite a few of the 300+ built-in functions in the Excel library are non-smooth in at least some of their arguments. For real gradients used by conventional optimizers, we currently allow (as a user option) gradients of ABS, SIGN, MIN, MAX and IF to be computed at the current point, but for interval gradients, we currently require strictly smooth functions. So this topic is certainly relevant for us. We've read the discussion of non-smooth functions in Baker Kearfott's book and some of his papers, but I'm not sure that we've seen everything recently published on this topic. Thanks for the reference to Clarke's paper. Also thanks to Arnold Neumaier just now for the reference to pp.173-175 of his book. Dan Fylstra Frontline Systems Inc. > -----Original Message----- > From: owner-reliable_computing [at] interval [dot] louisiana.edu > [mailto:owner-reliable_computing [at] interval [dot] louisiana.edu]On Behalf Of > Vladik Kreinovich > Sent: Friday, August 08, 2003 7:45 AM > To: reliable_computing [at] interval [dot] louisiana.edu > Cc: ansobol@obs-nice.fr > Subject: interval-valued derivatives of nonsmooth functions > > > Dear Friends, > > A few weeks ago, we talked with Andrei Sobolevski from Nice on generalied > derivatives in math and in interval computations. In Mathematics, there has > been a lot of activity in this area, so we were discussing which of the > numerous notions of generalized derivative best fits what, say, Baker Kearfott > describes in his Optimization book: when we assign an interval value [-1,1] to > the derivative of |x| at 0 and then naturally expand this definition to > compositions. > > At that time, we were just comparing the resulting definition with some > recollections, but now, after I made an ettempt to provide a general > description of the corresponding interval derivative, Andrei found a survey, we > are both reading into it now. > > I think this topic may be of interest to many people on the list. Or maybe some > knows the answer already? > > Vladik > > ------------- Begin Forwarded Message ------------- > > Date: Fri, 8 Aug 2003 11:00:43 +0200 (CEST) > From: Andrei Sobolevskii > To: Vladik Kreinovich > Subject: Re: translation of Toolbox > MIME-Version: 1.0 > > Dear Vladik, > > I have just come across a very readable survey on nonsmooth > generalizations of derivatives by one of the founding fathers of the > subject: > > F. Clarke > Nonsmooth analysis in control theory: a survey > http://www.mat.uniroma2.it/~dott/ClarkeEJC.pdf > > Best, > A. > > > P.S. Re your question about where Kearfott's dertivative of |x| falls among > > purely mathematical definitions: we can define derivative f'(x) as the limit > > lim f(x+h)-f(x))/h as h tends to 0. > > > > If the function is not differentiable, there is no limit, but we can have the > > lower limit (liminf) and upper limit (limsup). They form an interval of all > > possible values of such limits, which is exactly what Kearfott's idea is > > capturing. > > > > This is just FYI. > > ------------- End Forwarded Message ------------- > > > > > > > From owner-reliable_computing [at] interval [dot] louisiana.edu Sat Aug 9 15:54:30 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h79KsSN27313 for reliable_computing-outgoing; Sat, 9 Aug 2003 15:54:28 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h79KsM927309 for ; Sat, 9 Aug 2003 15:54:22 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h79KsCL06294; Sat, 9 Aug 2003 14:54:13 -0600 (MDT) Message-Id: <200308092054.h79KsCL06294 [at] cs [dot] utep.edu> Date: Sat, 9 Aug 2003 14:54:12 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: a new book of potential interest to interval researchers To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Cc: berleant [at] iastate [dot] edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: SUz2D/1jl+lajp1bF4gSNw== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk A new book has been recently published: Partial Identification of Probability Distributions, by Charles F. Manski, Springer-Verlag, New York, 2003, ISBN 0-387-00454-8. Among other cases of uncertainty, it covers the situations in which, when performing statistical analysis, instead of the actual sample data, we only have intervals that are known to contain this data (e.g., after a poll, instead of the exact ages, we have the interval to which each person's age belongs, say 40-50). The author considers numerous applications to econometrics and analysis of social data in general. Vladik From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 10 04:19:28 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7A9JRf28026 for reliable_computing-outgoing; Sun, 10 Aug 2003 04:19:27 -0500 (CDT) Received: from iph.bio.bas.bg (IDENT:0@bas-bio.lines.bas.bg [195.96.252.58]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7A9JL928022 for ; Sun, 10 Aug 2003 04:19:21 -0500 (CDT) Received: from biomath3 (IDENT:0 [at] localhost [dot] localdomain [127.0.0.1]) by iph.bio.bas.bg (8.11.6/8.11.6) with ESMTP id h7A9SYm24144; Sun, 10 Aug 2003 12:28:34 +0300 From: "Svetoslav Markov" To: reliable_computing [at] interval [dot] louisiana.edu Date: Sun, 10 Aug 2003 12:17:16 +0200 MIME-Version: 1.0 Subject: Re: interval-valued derivatives of nonsmooth functions CC: Vladik Kreinovich Message-ID: <3F3637CC.32587.E894AE@localhost> In-reply-to: <200308081444.h78EimH29093 [at] cs [dot] utep.edu> X-mailer: Pegasus Mail for Windows (v4.11) Content-type: text/plain; charset=US-ASCII Content-transfer-encoding: 7BIT Content-description: Mail message body Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk On 8 Aug 2003 at 8:44, Vladik Kreinovich wrote: > Dear Friends, > > A few weeks ago, we talked with Andrei Sobolevski from Nice on generalied > derivatives in math and in interval computations. In Mathematics, there has > been a lot of activity in this area, so we were discussing which of the > numerous notions of generalized derivative best fits what, say, Baker Kearfott > describes in his Optimization book: when we assign an interval value [-1,1] to > the derivative of |x| at 0 and then naturally expand this definition to > compositions. > > At that time, we were just comparing the resulting definition with some > recollections, but now, after I made an ettempt to provide a general > description of the corresponding interval derivative, Andrei found a survey, we > are both reading into it now. > > I think this topic may be of interest to many people on the list. Or maybe some > knows the answer already? > > Vladik > > ------------- Begin Forwarded Message ------------- > > Date: Fri, 8 Aug 2003 11:00:43 +0200 (CEST) > From: Andrei Sobolevskii > To: Vladik Kreinovich > Subject: Re: translation of Toolbox > MIME-Version: 1.0 > > Dear Vladik, > > I have just come across a very readable survey on nonsmooth > generalizations of derivatives by one of the founding fathers of the > subject: > > F. Clarke > Nonsmooth analysis in control theory: a survey > http://www.mat.uniroma2.it/~dott/ClarkeEJC.pdf > > Best, > A. > > > P.S. Re your question about where Kearfott's dertivative of |x| falls among > > purely mathematical definitions: we can define derivative f'(x) as the limit > > lim f(x+h)-f(x))/h as h tends to 0. > > > > If the function is not differentiable, there is no limit, but we can have the > > lower limit (liminf) and upper limit (limsup). They form an interval of all > > possible values of such limits, which is exactly what Kearfott's idea is > > capturing. > > > > This is just FYI. > The following papers/books are devoted to derivatives of nonsmooth/interval functions: Angelov, R., Markov, S., Extended Segment Analysis, Freiburger Intervall-Berichte 81(10), Inst. f. Angewandte Mathematik, U. Freiburg i. Br., 1981, 1-63. Markov, S., Calculus for interval functions of a real variable. Computing 22, 325--337 (1979). Sendov Bl., Segment arithmetic and segment limit. C.R.Acad.bulg.sci., 1977, 30, 955-968. Sendov Bl., Segment derivatives and Taylor's formula. C.R.Acad.bulg.sci., 1977, 30, 1093-1096. Sendov Bl., Some topics of segment analysis. In: Interval Mathematics'80 (Ed. by K. Nickel), Academic Press, 1980, 236-245. Sendov Bl., Hausdorff approximations, Kluver, Dordrecht, 1990. S. Markov From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 10 14:07:09 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7AJ78Z28906 for reliable_computing-outgoing; Sun, 10 Aug 2003 14:07:08 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7AJ72928902 for ; Sun, 10 Aug 2003 14:07:03 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7AJ6th09648; Sun, 10 Aug 2003 13:06:55 -0600 (MDT) Message-Id: <200308101906.h7AJ6th09648 [at] cs [dot] utep.edu> Date: Sun, 10 Aug 2003 13:06:55 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Re: interval-valued derivatives of nonsmooth functions To: reliable_computing [at] interval [dot] louisiana.edu, smarkov [at] bio [dot] bas.bg MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: YY/aQi+8/XnFjvhygAkrMg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Thanks a lot to Svetoslav for his references. The very first paper includes (for the case of differentiating a non-smooth real-valued function) exactly the definition with lower and upper limits, with lots of properties proven! Thanks a lot for the references! Vladik > From: "Svetoslav Markov" > To: reliable_computing [at] interval [dot] louisiana.edu > On 8 Aug 2003 at 8:44, Vladik Kreinovich wrote: > > > > P.S. Re your question about where Kearfott's dertivative of |x| > falls among > > > purely mathematical definitions: we can define derivative f'(x) > as the limit > > > lim f(x+h)-f(x))/h as h tends to 0. > > > > > > If the function is not differentiable, there is no limit, but we > can have the > > > lower limit (liminf) and upper limit (limsup). They form an > interval of all > > > possible values of such limits, which is exactly what Kearfott's > idea is > > > capturing. > > The following papers/books are devoted to > derivatives of nonsmooth/interval functions: > > Angelov, R., Markov, S., Extended > Segment Analysis, Freiburger Intervall-Berichte 81(10), Inst. > f. Angewandte Mathematik, U. Freiburg i. Br., 1981, 1-63. > > Markov, S., Calculus for interval functions of a real variable. > Computing 22, 325--337 (1979). > > Sendov Bl., Segment arithmetic and segment > limit. C.R.Acad.bulg.sci., 1977, 30, 955-968. > > Sendov Bl., Segment derivatives and > Taylor's formula. C.R.Acad.bulg.sci., 1977, 30, 1093-1096. > > Sendov Bl., Some topics of segment > analysis. In: Interval Mathematics'80 (Ed. by K. Nickel), > Academic Press, 1980, 236-245. > > Sendov Bl., Hausdorff approximations, > Kluver, Dordrecht, 1990. > > S. Markov From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 10 15:04:32 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7AK4V029023 for reliable_computing-outgoing; Sun, 10 Aug 2003 15:04:31 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7AK4R929019 for ; Sun, 10 Aug 2003 15:04:27 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7AK4Nr09810; Sun, 10 Aug 2003 14:04:23 -0600 (MDT) Message-Id: <200308102004.h7AK4Nr09810 [at] cs [dot] utep.edu> Date: Sun, 10 Aug 2003 14:04:23 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: mark your calendars To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: X9FYpKL2rCTBkczNNkQLUQ== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk The 24th International Conference of NAFIPS, the North American Fuzzy Information Processing Society, will be held in Detroit in the 4th week of June 2005. As usual, the organizers would like to see interval-related talks. From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 10 20:27:46 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7B1RkH29976 for reliable_computing-outgoing; Sun, 10 Aug 2003 20:27:46 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7B1Rgi29971 for reliable_computing [at] interval [dot] louisiana.edu; Sun, 10 Aug 2003 20:27:42 -0500 (CDT) Received: from imf16aec.mail.bellsouth.net (imf16aec.mail.bellsouth.net [205.152.59.64]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7B0M3929821 for ; Sun, 10 Aug 2003 19:22:04 -0500 (CDT) Received: from Inspiron-8200 ([65.83.166.105]) by imf16aec.mail.bellsouth.net (InterMail vM.5.01.05.27 201-253-122-126-127-20021220) with SMTP id <20030811002155.KFNA29399.imf16aec.mail.bellsouth.net@Inspiron-8200>; Sun, 10 Aug 2003 20:21:55 -0400 Message-Id: <2.2.32.20030811002154.00f3f3cc [at] pop [dot] louisiana.edu> X-Sender: rbk5287 [at] pop [dot] louisiana.edu X-Mailer: Windows Eudora Pro Version 2.2 (32) Mime-Version: 1.0 Content-Type: text/plain; charset="us-ascii" Date: Sun, 10 Aug 2003 19:21:54 -0500 To: Arnold Neumaier , Vladik Kreinovich From: "R. Baker Kearfott" Subject: Re: interval-valued derivatives of nonsmooth functions Cc: reliable_computing [at] interval [dot] louisiana.edu, ansobol@obs-nice.fr Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk All, With my help, my student Humberto Mu\~noz has recently completed a fairly thorough study comparing various generalized derivatives, including the Clarke generalized gradient, slopes, Csets to describe derivatives, etc. The a postscript copy is available from http://interval.louisiana.edu/preprints.html (Search for "Slope Intervals, Generalized Gradients, Semigradients, Slant Derivatives, and Csets" or a substring thereof.) This work has been accepted for publication in "Reliable Computing." For additional information contact me or Humberto (at hmunoz [at] math [dot] subr.edu). Sincerely, Baker At 07:24 PM 8/8/2003 +0200, Arnold Neumaier wrote: >Vladik Kreinovich wrote: >> generalied >> derivatives in math and in interval computations. In Mathematics, there has >> been a lot of activity in this area, so we were discussing which of the >> numerous notions of generalized derivative best fits what, say, Baker Kearfott >> describes in his Optimization book: when we assign an interval value [-1,1] to >> the derivative of |x| at 0 and then naturally expand this definition to >> compositions. > >See pp.173-175 in my book for what is needed to prove relevant >existence and uniqueness results. Whe I wrote the book, I looked >in some detail into various generaized derviatives, but found >nothing algorithmically useful that was not covered by my concept >of a Lipschitz set (defined by (6) in my book). > > >Arnold Neumaier > > --------------------------------------------------------------- R. Baker Kearfott, rbk [at] louisiana [dot] edu (337) 482-5346 (fax) (337) 482-5270 (work) (337) 993-1827 (home) URL: http://interval.louisiana.edu/kearfott.html Department of Mathematics, University of Louisiana at Lafayette Box 4-1010, Lafayette, LA 70504-1010, USA --------------------------------------------------------------- From owner-reliable_computing [at] interval [dot] louisiana.edu Sun Aug 10 23:23:10 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7B4N9I00264 for reliable_computing-outgoing; Sun, 10 Aug 2003 23:23:09 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7B4N2900260 for ; Sun, 10 Aug 2003 23:23:02 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7B4MmR11369; Sun, 10 Aug 2003 22:22:48 -0600 (MDT) Message-Id: <200308110422.h7B4MmR11369 [at] cs [dot] utep.edu> Date: Sun, 10 Aug 2003 22:22:48 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: error analysis in geoinformatics To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Cc: lejohnson [at] nsf [dot] gov, zaslavsk [at] sdsc [dot] edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 1M6okHrymyxPnxSswfLsMg== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Error Analysis in Geoinformatics: Possible Application of Interval and Related Techniques In late Spring 2003, a working meeting on Geoinformatics was held in San Diego, California, at the San Diego Supercomputer Center. This meeting was sponsored by the National Science Foundation (NSF), as a part of the $11.5 million Information technology Research grant on Geoinformatics. At this meeting, Dr. Leonard E. Johnson, Director of the Continental Dynamics Program of NSF's Division of Earcth Science, emphasized that handling uncertainty in geospatial databases -- especially interval and probabilistic uncertainty -- is one of the most important problems in geoinformatics. One of the main objectives of geospatial data processing is to estimate the values of the geophysical quantities that are difficult to measure directly, such as density at different depths, etc. At present, most algorithms for processing geospatial data produce estimates for the desired values, but these algorithms do not reliable accuracy bounds for these estimates. It is therefore very important to be able to provide such estimates. An additional important problem is how to best represent the corresponding uncertainty when we visualize the geophysical data as a 2-D or 3-D map. Several researchers (including L. E. Johnson himself) have come up with uncertainty estimates for specific cases, but in general, the problem is far from being solved. To solve this problem, it is reasonable to first collect (and analyze) the known techniques for error analysis in geoinformatics, and then to extend thes etechniques to the most general classes of geoinformatics problems. Ilya Zaslavsky from the San Diego Supercomputer Center is currently leading the effort to collect the existing techniques and results. The goal is to set up a webpage, and to compile a survey of such techniques and applications. Once the draft survey is ready, the plan is to organize a workshop, in which interested researechers will discuss the most important open problems, and the most promising strategies for extending known techniques to these new challenging situations. In this endeavor, he needs the help of the interval community. If you are interested in this project, please send, to Ilya (email zaslavsk [at] sdsc [dot] edu) and to me (vladik [at] cs [dot] utep.edu) the following information: * your email; * the URL of your webpage (if any); * your specific area of interest in this topic; * exact bibliographical data (and, if possible, URL) of your relevant publications (and pre-prints). We will try our best to include this information into the newly designed webpage. We strongly believe that these geoinformatics-related practical problems present a unique application opportunity for our community. Vladik From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Aug 11 13:06:51 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7BI6p801315 for reliable_computing-outgoing; Mon, 11 Aug 2003 13:06:51 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7BI6k901311 for ; Mon, 11 Aug 2003 13:06:47 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7BI6d414574; Mon, 11 Aug 2003 12:06:40 -0600 (MDT) Message-Id: <200308111806.h7BI6d414574 [at] cs [dot] utep.edu> Date: Mon, 11 Aug 2003 12:06:39 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Martine Ceberio To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu Cc: mceberio [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 1X46otnylT9u1fn86b8KVA== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, I am very happy to announce that Martine Ceberio from France, a specialist in interval computations and constraint satisfaction, is a Visiting Professor with our University of Texas at El Paso from August 2003 until the end of May 2004. She is eager to use this opportunity not only to work with us here in El Paso, but also, if possible, to visit other universities and research centers. Unfortunately, due to the state budget crisis, we do not have money to pay for her travel. If any of the North American interval researchers is interested in inviting her to give a talk (and paying her airfare), she will be glad to come. Vladik P.S. Martine can be currently reached at mceberio [at] cs [dot] utep.edu; some of her papers (and her dissertation) are placed in her website; you can access it either through the Personalia link of the interval computations website http://www.cs.utep.edu/interval-comp, or directly at http://www.sciences.univ-nantes.fr/info/perso/permanents/ceberio/index2.html Some of the links on this French site are not working well, so, if you are interested in the corresponding papers, you may have to ask Martine to send the files. She will try to correct the links and also to make a temporary easy-to-access page here at our university, but it may take time. P.P.S. For Mexican researchers: she speaks Spanish so it is not a problem for her to give a talk in Spanish. There may be, as I learned from my Mexican colleagues, a difference in terminology between Spanish and Mexican usages, but I hope this is not a big problem. From owner-reliable_computing [at] interval [dot] louisiana.edu Wed Aug 13 11:14:01 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7DGE0n03922 for reliable_computing-outgoing; Wed, 13 Aug 2003 11:14:00 -0500 (CDT) Received: (from rbk5287@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7DGDvd03917 for reliable_computing [at] interval [dot] louisiana.edu; Wed, 13 Aug 2003 11:13:57 -0500 (CDT) Received: from lcyoung.math.wisc.edu (lcyoung.math.wisc.edu [144.92.166.90]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7CN4X902884 for ; Tue, 12 Aug 2003 18:04:34 -0500 (CDT) Received: from ultra7.math.wisc.edu (ultra7.math.wisc.edu [144.92.166.188]) by lcyoung.math.wisc.edu (8.11.6p2/8.11.6) with ESMTP id h7CN3J209837; Tue, 12 Aug 2003 18:03:20 -0500 (CDT) Date: Tue, 12 Aug 2003 18:03:19 -0500 (CDT) From: Hans Schneider To: NETS -- at-net , E-LETTER , Pradeep Misra , Shaun Fallat , "na.digest" , ipnet-digest [at] math [dot] msu.edu, Michael.Unser [at] epfl [dot] ch, SIAGLA-DIGEST , hjt [at] eos [dot] ncsu.edu, SMBnet [at] smb [dot] org, vkm [at] eedsp [dot] gatech.edu, reliable_computing [at] interval [dot] louisiana.edu Subject: LAA contents Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-MailScanner: Found to be clean Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Net Organizer: Please circulate the attached LAA contents over your net. Thanks hans ********************************************************************* Hans Schneider Office: Mathematics Department Home: Van Vleck Hall 521 Samuel Drive University of Wisconsin Madison, WI 53717-2416 USA 480 Lincoln Drive 608-833-6567 Madison, WI 53706-1313 USA Office Phone: 608-262-1402 Math Dept Phone: 608-263-3054 Email: hans [at] math [dot] wisc,edu Math Dept Fax: 608-263-8891 WWW: http://www.math.wisc.edu/~hans * Linear Algebra and its Applications Volume 372, Pages 1-345 (1 October 2003) http://www.sciencedirect.com/science/issue/5653-2003-996279999-446580 TABLE OF CONTENTS On a moment problem for rational matrix-valued functions, Pages 1-31 Bernd Fritzsche, Bernd Kirstein and Andreas Lasarow Perturbation analysis of the matrix equation , Pages 33-51 Ji-guang Sun A graph theoretical determination of solvable complete rigid Lie algebras, Pages 53-66 R. Campoamor-Stursberg Friedland-Hersonsky problem for matrix algebra, Pages 67-78 Wensheng Cao and Xiantao Wang A generalization of the bounded real lemma, Pages 79-103 Akos Laszlo Hermite-Biehler, Routh-Hurwitz, and total positivity, Pages 105-110 Olga Holtz N-matrix completion problem, Pages 111-125 C. Mendes Araujo, Juan R. Torregrosa and Ana M. Urbano On meet and join matrices associated with incidence functions, Pages 127-153 Ismo Korkee and Pentti Haukkanen Invertibility preserving linear maps on -subspace lattice algebras, Pages 155-166 Pengtong Li, Fangyan Lu and Jipu Ma On the bicommutant for one type of J-symmetric nilpotent algebras in Krein spaces, Pages 167-180 Vladimir Strauss On eigenvalues induced by a cone constraint, Pages 181-206 Alberto Seeger and Mounir Torki http://www.sciencedirect.com/science/article/B6V0R-48XCPWW-7/1/dab1762803c0d8ad50f4a295ed54b9b5 A revisitation of formulae for the Moore-Penrose inverse of modified matrices, Pages 207-224 Jerzy K. Baksalary, Oskar Maria Baksalary and Gotz Trenkler A parameterization of positive definite matrices in terms of partial correlation vines, Pages 225-251 Dorota Kurowicka and Roger Cooke A characterization of Jordan canonical forms which are similar to eventually nonnegative matrices with the properties of nonnegative matrices, Pages 253-285 Boris G. Zaslavsky and Judith J. McDonald Linear operators preserving adjoint matrix between matrix spaces, Pages 287-293 Xiao Min Tang On Hermitian positive definite solutions of matrix equation X+A*X-2A=I, Pages 295-304 Yuhai Zhang Rank restricting functions, Pages 305-323 Aharon Atzmon and Allan Pinkus A note on companion matrices, Pages 325-331 Miroslav Fiedler Polygonal chains with minimal energy, Pages 333-344 Juan Rada and Antonio Tineo Author index, Page 345 Lists of Editors, Pages ii-iii From owner-reliable_computing [at] interval [dot] louisiana.edu Thu Aug 14 12:54:14 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7EHsDt05487 for reliable_computing-outgoing; Thu, 14 Aug 2003 12:54:13 -0500 (CDT) Received: from web14207.mail.yahoo.com (web14207.mail.yahoo.com [216.136.173.71]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with SMTP id h7EHs7905483 for ; Thu, 14 Aug 2003 12:54:07 -0500 (CDT) Message-ID: <20030814175405.27191.qmail [at] web14207 [dot] mail.yahoo.com> Received: from [213.172.0.6] by web14207.mail.yahoo.com via HTTP; Thu, 14 Aug 2003 10:54:05 PDT Date: Thu, 14 Aug 2003 10:54:05 -0700 (PDT) From: Slava Nesterov Subject: Reliable Computing, Vol. 9, issue 6, 2003 To: reliable_computing [at] interval [dot] louisiana.edu MIME-Version: 1.0 Content-Type: text/plain; charset=us-ascii Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Reliable Computing Volume 9, issue 6, 2003 Special Issue on Dependable Reasoning about Uncertainty Guest Editor: Daniel Berleant Dependable Handling of Uncertainty Daniel Berleant, Mei-Peng Cheong, Chris Chu, Yong Guan, Ahmed Kamal, Gerald Sheble, Scott Ferson, James F. Peters 407-418 Computation of Bounds on Population Parameters When the Data Are Incomplete Joel L. Horowitz, Charles F. Manski, Maria Ponomareva, Joerg Stoye 419-440 Exact Upper Bound on the Mean of the Product of Many Random Variables with Known Expectations Vladik Kreinovich, Scott Ferson, Lev Ginzburg 441-463 Convex Imprecise Previsions Renato Pelessoni, Paolo Vicig 465-485 Tree-Based Credal Networks for Classification Marco Zaffalon, Enrico Fagiuoli 487-509 __________________________________ Do you Yahoo!? Yahoo! SiteBuilder - Free, easy-to-use web site design software http://sitebuilder.yahoo.com From owner-reliable_computing [at] interval [dot] louisiana.edu Sat Aug 23 17:21:05 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7NML5W17035 for reliable_computing-outgoing; Sat, 23 Aug 2003 17:21:05 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7NMKw917031 for ; Sat, 23 Aug 2003 17:20:59 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7NGUHg04356; Sat, 23 Aug 2003 10:30:20 -0600 (MDT) Message-Id: <200308231630.h7NGUHg04356 [at] cs [dot] utep.edu> Date: Sat, 23 Aug 2003 10:30:17 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: Reliable Engineering Computing: center and workshop To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=us-ascii Content-MD5: 08s1uCtvZJCZAaYBlkzBow== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk Dear Friends, This is just FYI. Rafi L. Muhanna from Georgia Tech University has organized a center for Reliable Engineering Computing in Atlanta, Georgia. He is planning to organize a workshop on Reliable Engineering Computing in Altanta, Georgia, in September 2004. Funding is pending. Thanks to Rafi for his efforts! Vladik From owner-reliable_computing [at] interval [dot] louisiana.edu Mon Aug 25 18:50:02 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7PNo0k19854 for reliable_computing-outgoing; Mon, 25 Aug 2003 18:50:00 -0500 (CDT) Received: from cs.utep.edu (mail.cs.utep.edu [129.108.5.3]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7PNnn919849 for ; Mon, 25 Aug 2003 18:49:50 -0500 (CDT) Received: from aragorn (aragorn [129.108.5.35]) by cs.utep.edu (8.11.7/8.11.3) with SMTP id h7PNkqb03578; Mon, 25 Aug 2003 17:46:53 -0600 (MDT) Message-Id: <200308252346.h7PNkqb03578 [at] cs [dot] utep.edu> Date: Mon, 25 Aug 2003 17:46:52 -0600 (MDT) From: Vladik Kreinovich Reply-To: Vladik Kreinovich Subject: mark your calendars To: reliable_computing [at] interval [dot] louisiana.edu, interval [at] cs [dot] utep.edu MIME-Version: 1.0 Content-Type: TEXT/plain; charset=ISO-8859-1 Content-MD5: sc1m/enQNkwS+mKp96XQ1Q== X-Mailer: dtmail 1.3.0 @(#)CDE Version 1.4 SunOS 5.8 sun4u sparc Content-Transfer-Encoding: 8bit X-MIME-Autoconverted: from QUOTED-PRINTABLE to 8bit by interval.louisiana.edu id h7PNnt919851 Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk This is preliminary info. The organizers of the first workshop encouraged interval participation, and the first workshop had several interval-related talks. -----Original Message----- From: Angeles Gil Alvarez [mailto:angeles [at] pinon [dot] ccu.uniovi.es] Sent: Thursday, January 09, 2003 3:38 AM ... The Second International Workshop on Soft Methods in Probability and Statistics SMPS'2004 will be held in Oviedo (Spain) in September 2004 (the tentative period being 1-3 September). The purpose of the conference is to join experts on different approaches to soft methodologies in Probability, Statistics and Data Analysis. For infomation about our university and our nice region please see http://www.uniovi.es/RI/ECTS_ing/uniovi/ and http://www.paraisonatural.com/indice-i.html For more information about the First Workshop that was held in Warsaw in 2002 please see http://www.ibspan.waw.pl/smps2002/. Best regards, María Ángeles Gil and Miguel López-Díaz General Chairs of the Workshop From owner-reliable_computing [at] interval [dot] louisiana.edu Tue Aug 26 14:05:01 2003 Received: (from daemon@localhost) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) id h7QJ50f21038 for reliable_computing-outgoing; Tue, 26 Aug 2003 14:05:00 -0500 (CDT) Received: from math.gatech.edu (math.gatech.edu [130.207.146.50]) by interval.louisiana.edu (8.11.3/8.11.3/ull-interval-math-majordomo-1.3) with ESMTP id h7QJ4r921033 for ; Tue, 26 Aug 2003 14:04:54 -0500 (CDT) Received: from mathpc35.math.gatech.edu (mathpc35.math.gatech.edu [199.77.200.35]) by math.gatech.edu (8.12.9/8.12.9) with ESMTP id h7QJ1wnd023645 for ; Tue, 26 Aug 2003 15:02:00 -0400 (EDT) Received: from mathpc35.math.gatech.edu (localhost [127.0.0.1]) by mathpc35.math.gatech.edu (8.12.9/8.12.9) with ESMTP id h7QJ1q3B026479 for ; Tue, 26 Aug 2003 15:01:53 -0400 Received: from localhost (gameiro@localhost) by mathpc35.math.gatech.edu (8.12.9/8.12.9/Submit) with ESMTP id h7QJ1orB026476 for ; Tue, 26 Aug 2003 15:01:52 -0400 X-Authentication-Warning: mathpc35.math.gatech.edu: gameiro owned process doing -bs Date: Tue, 26 Aug 2003 15:01:50 -0400 (EDT) From: Marcio Fuzeto Gameiro To: reliable_computing [at] interval [dot] louisiana.edu Subject: Interval Library In-Reply-To: <200303282228.h2SMSDF20260 [at] cs [dot] utep.edu> Message-ID: MIME-Version: 1.0 Content-Type: TEXT/PLAIN; charset=US-ASCII X-NonLocal-Relay: 199.77.200.35 X-Spam-Level: (0) 5 required for Spam X-Scanned-By: MIMEDefang 2.28 (www . roaringpenguin . com / mimedefang) Sender: owner-reliable_computing [at] interval [dot] louisiana.edu Precedence: bulk I used to use the PROFIL interval library, but I am having trouble to install it since it has not been updated for a while (yes, I could use an older compiler to get it working, but it is too much trouble). So my question is, is there any other Interval Library that you people recomend? Thank you, Marcio Gameiro.