Be warned that
the version here of papers that have been published may differ
slightly from the posted version as last minute changes are
sometimes made to meet journal format requirements. The published
version should be considered definitive. All copyrights should be
respected.
authors: Robert Michael Lewis and Virginia Torczon.
keywords: nonlinear programming, augmented Lagrangian methods, constraint qualifications, constant positive linear dependence, linear constraints, direct search, generating set search, generalized pattern search, derivative-free methods.
last update: Version 0.0, 2010/01/11, 11:28
note: Released as
WM-CS-2010-01,
Technical Reports, Department of Computer Science, College of
William & Mary, Williamsburg, Virginia, January
2010.
authors: Robert Michael Lewis and Virginia Torczon.
appears in: SIAM Journal on Optimization, Volume 20, Issue 3, pages 1378-1405, 2009.
keywords: active sets, constrained optimization, linear constraints, direct search, generating set search, generalized pattern search, derivative-free methods
abstract: |
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doi: 10.1137/08073545X
last update: Version 2.0, 2009/07/19, 17:03
note: Originally released as WM-CS-2008-07,
Technical Reports, Department of Computer
Science, College of William & Mary, Williamsburg, Virginia, September
2008 with the title Active set identification without
derivatives.
authors: Tamara G. Kolda, Robert Michael Lewis, and Virginia Torczon.
keywords: nonlinear programming, augmented Lagrangian methods, constrained optimization, direct search, generating set search, generalized pattern search, derivative-free optimization
last update: Version 0.0, 2006/08/29, 18:06
note: Released as
Technical Report SAND2006-5315, Sandia National
Laboratories, August 2006.
authors: Robert Michael Lewis, Anne Shepherd, and Virginia Torczon.
appears in: SIAM Journal on Scientific Computing, Vol. 29, Issue 6, pages 2507-2530, 2007.
keywords: nonlinear programming; nonlinear optimization; constrained optimization; linear constraints; degeneracy; direct search; generating set search; generalized pattern search; derivative-free methods; double description algorithm
abstract: |
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citations in: |
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doi: 10.1137/050635432
last update: Revision 3.2, 2007/09/17, 18:46
note: Originally released as WM-CS-2005-01,
Technical Reports,
Department of Computer Science, College of William & Mary,
Williamsburg, Virginia, July 2005.
authors: Tamara G. Kolda, Robert Michael Lewis, and Virginia Torczon.
appears in: SIAM Journal on Optimization, Volume 17, Issue 4, pages 943-968.
keywords: constrained optimization, linear constraints, global convergence analysis, direct search, generating set search, generalized pattern search, derivative-free methods, stopping criteria
abstract: |
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citations in: |
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doi: 10.1137/S1052623403433638
last update: Version 4.2, 2006/10/09, 11:52
note:
Originally released as Technical Report SAND2003-8550, Sandia National
Laboratories, October 2003.
authors: Tamara G. Kolda, Robert Michael Lewis, and Virginia Torczon.
appears in: SIAM Review, Vol. 45, Issue 3, pages 385-482, 2003.
keywords: nonlinear programming, nonlinear optimization, direct search, pattern search, simplex search, positive bases, global convergence analysis, local convergence analysis, generating set search
abstract: |
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citations in: |
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last update: Revision 1.93, 2003/08/04, 11:39
authors: Tamara G. Kolda and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 14, Issue 4, pages 939-964, 2004.
keywords: asynchronous parallel optimization, pattern search, unconstrained optimization, global convergence analysis
abstract: |
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citations in: |
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doi: 10.1137/S1052623401398107
last update: Revision 2.6, 2003/05/15, 15:34:52
note: Originally released as
Technical Report SAND2001-8696, Sandia National Laboratories, February
2002.
authors: Tamara G. Kolda and Virginia Torczon.
appears in: High Performance Algorithms and Software for Nonlinear Optimization, G. Di Pillo and A. Murli, Editors, Springer, 2003, pages 316-335.
keywords: nonlinear optimization, asynchronous parallel optimization, pattern search, global convergence, distributed computing, cluster computing
last update: Revision 2.3, 2002/11/21, 00:32:36
note: Originally released as Technical Report
SAND2001-8695, Sandia National Laboratories, February 2002.
authors: Elizabeth D. Dolan, Robert Michael Lewis, and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 14, Issue 2, pages 567-583, 2003.
keywords: pattern search, local convergence analysis, global convergence analysis, desultory rate of convergence
abstract: |
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citations* in: |
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doi: 10.1137/S1052623400374495
last update: Revision 4.0, 2003/04/25, 11:22
note: Originally released as ICASE Technical Report
2000-36, NASA Langley Research Center, September 2000,
.
authors: Christopher M. Siefert, Virginia Torczon, and Michael W. Trosset.
appears in: 2002 Proceedings of the Section on Physical and Engineering Sciences, American Statistical Association
authors: Robert Michael Lewis, Virginia Torczon, and Michael W. Trosset.
appears in: Journal of Computational and Applied Mathematics, Volume 124, Issues 1-2, December 2000, pp. 191-207.
keywords: derivative-free optimization, direct search methods, pattern search methods
abstract: |
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citations in: |
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doi: 10.1016/S0377-0427(00)00423-4
last update: Revision 2.4, 2000/05/15, 14:29:06
note: Originally released as
ICASE Technical Report 2000-26, NASA Langley Research Center, May 2000,
.
authors: Patty Hough, Tamara G. Kolda, and Virginia Torczon.
appears in: SIAM Journal on Scientific Computing, Vol. 23, Issue 1, pages 134-156, 2001.
keywords: asynchronous parallel optimization, pattern search, direct search, fault tolerance, distributed computing, cluster computing
abstract: |
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citations in: |
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doi: 10.1137/S1064827599365823
last update: Revision 3.0, 2001/01/22, 11:14:01
note: Originally released as Technical Report SAND2000-8213, Sandia National Laboratories, January 2000.
related software:
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authors: Virginia Torczon and Michael W. Trosset.
appears in: Proceedings of the 7th AIAA/USAF/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, St. Louis, Missouri, September 2-4, 1998.
keywords: design optimization, computer simulation, pattern search, kriging, nonparametric response surface methodology
paper:
AIAA-1998-4800
citations in:
last update: Revision 1.4, 1998/08/31, 21:01
note: Originally
released as ICASE Technical Report 98-33, NASA Langley Research
Center, August 1998,
.
authors: Robert Michael Lewis and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 12, Issue 4, pages 1075-1089, 2002.
keywords: augmented Lagrangian, constrained optimization, direct search, nonlinear programming, pattern search
abstract: |
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citations in: |
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doi: 10.1137/S1052623498339727
last update: Revision 3.0, 2001/09/06, 22:47:56
note: Originally released as ICASE Technical Report 98-31, NASA Langley
Research Center, August 1998,
.
authors: Andrew J. Booker, J. E. Dennis, Jr., Paul D. Frank, David B. Serafini, Virginia Torczon, and Michael W. Trosset.
appears in: Structural and Multidisciplinary Optimization, Vol. 17, No. 1, February 1999, pages 1-13.
keywords: approximation concepts, surrogate optimization, response surfaces, pattern search methods, derivative-free optimization, design and analysis of computer experiments (DACE), computational engineering
abstract: |
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citations* in: |
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doi: 10.1007/BF01197708
last update: Revision 2.1, 1998/11/20 16:17
note: Originally released as
ICASE Technical Report 98-47, NASA Langley Research Center, November 1998,
.
authors: Andrew J. Booker, J. E. Dennis, Jr., Paul D. Frank, David B. Serafini, and Virginia Torczon.
keywords: approximation concepts, surrogate optimization, response surface methodology, direct search methods, derivative-free optimization
authors: Robert Michael Lewis and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 10, Issue 3, pages 917-941, 2000.
keywords: pattern search, linearly constrained minimization
abstract: |
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citations in: |
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doi: 10.1137/S1052623497331373
last update: Revision 3.0, 1999/08/18 22:40:42
note:
Originally released as ICASE Technical Report 98-3, NASA Langley
Research Center, January 1998,
.
authors: Natalia Alexandrov, J. E. Dennis, Jr., Robert Michael Lewis, and Virginia Torczon.
appears in: Structural and Multidisciplinary Optimization, Vol. 15, No. 1, February 1998, pages 16-23.
keywords: approximation concepts, trust region methods, surrogates
abstract: |
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citations in: |
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doi: 10.1007/BF01197433
last update: Revision 1.12, 1998/01/13 22:20:41
note: Originally released as
ICASE Technical Report 97-50, NASA Langley Research Center, October 1997,
.
authors: Virginia Torczon and Michael W. Trosset.
appears in: Computing Science and Statistics, Vol. 29, No. 1, Proceedings of the 29th Symposium on the Interface, Houston, TX, May 14-17, 1997, David W. Scott, editor, pages 396-401.
authors: Michael W. Trosset and Virginia Torczon.
last update: Revision 1.1, 1997/08
note: ICASE Technical Report 97-38, NASA Langley Research
Center, August 1997,
.
authors: Robert Michael Lewis and Virginia Torczon.
keywords: direct search methods, pattern search, positive linear dependence
last update: Revision 1.8, 1998/01/13 22:55:34
note: ICASE Technical Report 96-71, NASA Langley Research
Center, December 1996,
.
authors: J. E. Dennis, Jr. and Virginia Torczon.
appears as: a "Work in Progress" paper in Proceedings of the 6th AIAA/NASA/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Bellevue, Washington, September 4-6, 1996.
keywords: approximation models, nonlinear programming, nonlinear optimization, global convergence, trust region, pattern search
paper:
AIAA-1996-4099
citations in:
last update: Version 1.0, 1996/07/23
authors: Robert Michael Lewis and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 9, Issue 4, pages 1082-1099, 1999.
keywords: bound constrained optimization, convergence analysis, pattern search methods, direct search methods, globalization strategies, alternating variable search, axial relaxation, local variation, coordinate search, evolutionary operation, multidirectional search
abstract: |
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citations in: |
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doi: 10.1137/S1052623496300507
last update: Version 1.28, 1998/01/13 21:26:35
note:
Originally released as ICASE Technical Report 96-20, NASA Langley
Research Center, March 1996,
.
authors: J. E. Dennis and Virginia Torczon.
appears in: Multidisciplinary Design Optimization: State of the Art, edited by Natalia M. Alexandrov and M. Y. Hussaini, SIAM, 1997, pages 330-347.
last update: Version 1.0, 1995/06/30
author: Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 7, Issue 1, pages 1-25, February 1997.
keywords: unconstrained optimization, convergence analysis, direct search methods, globalization strategies, alternating variable search, axial relaxation, local variation, coordinate search, evolutionary operation, pattern search, multidirectional search, downhill simplex search
abstract: |
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citations in: |
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doi: 10.1137/S1052623493250780
note:
Won Outstanding Paper Prize, Society for Industrial and Applied
Mathematics (SIAM), May 1999.
authors: J. E. Dennis and Virginia Torczon.
appears in: Proceedings of the 5th AIAA/NASA/USAF/ISSMO Symposium on Multidisciplinary Analysis and Optimization, Panama City, Florida, September 7-9, 1994.
keywords: unconstrained optimization, direct search methods, multidirectional search, parallel optimization, Nelder-Mead simplex algorithm
paper:
AIAA-1994-4349.
citations in:
author: Virginia Torczon.
keywords: nonlinear optimization, unconstrained optimization, multidirectional search, parallel direct search, parallel computing
note: Also available as
Technical Report 92-09,
Department of Computational and Applied Mathematics, Rice University,
Houston, Texas.
authors: J. E. Dennis, Jr. and Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 1, Issue 4, pages 448-474, November 1991.
keywords: unconstrained optimization, direct search methods, multidirectional search, parallel optimization, Nelder-Mead simplex algorithm
abstract: |
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citations in: |
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doi:
10.1137/0801027
author: Virginia Torczon.
appears in: SIAM Journal on Optimization, Vol. 1, Issue 1, pages 123-145, February 1991.
keywords: unconstrained optimization, convergence analysis, direct search methods, parallel optimization, multidirectional search, Nelder-Mead simplex algorithm
abstract: |
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citations in: |
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doi:
10.1137/0801010
author: Virginia Torczon.
note: Ph.D. thesis, Department of Mathematical Sciences, Rice University, Houston, Texas, May, 1989. Also available as Technical Report 90-07, Department of Computational and Applied Mathematics, Rice University, Houston, Texas.
Last updated Saturday, 3-Aug-2013.
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