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Global Optimization with Non-Convex Constraints : Sequential and Parallel Algorithms - Roman G. Strongin

Global Optimization with Non-Convex Constraints

Sequential and Parallel Algorithms

Hardcover Published: 31st October 2000
ISBN: 9780792364900
Number Of Pages: 704

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This book presents a new approach to global non-convex constrained optimization. Problem dimensionality is reduced via space-filling curves. To economize the search, constraint is accounted separately (penalties are not employed). The multicriteria case is also considered. All techniques are generalized for (non-redundant) execution on multiprocessor systems. Audience: Researchers and students working in optimization, applied mathematics, and computer science.

Global Optimization Algorithms as Decision Procedures, Theoretical Background and Core Univariate Casep. 1
Introductionp. 3
Global Optimization Algorithms as Statistical Decision Procedures - The Information Approachp. 53
Core Global Search Algorithm and Convergence Studyp. 127
Global Optimization Methods as Bounding Procedures - The Geometric Approachp. 231
Generalizations for Parallel Computing, Constrained and Multiple Criteria Problemsp. 317
Parallel Global Optimization Algorithms and Evaluation of the Efficiency of Parallelismp. 319
Global Optimization Under Non-Convex Constraints - The Index Approachp. 379
Algorithms for Multiple Criteria Multiextremal Problemsp. 419
Global Optimization in Many Dimensions. Generalizations through Peano Curvesp. 443
Peano-Type Space-Filling Curves as Means for Multivariate Problemsp. 445
Multidimensional Parallel Algorithmsp. 551
Multiple Peano Scannings and Multidimensional Problemsp. 611
Referencesp. 651
List of Algorithmsp. 678
List of Figuresp. 683
List of Tablesp. 693
Indexp. 697
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792364900
ISBN-10: 0792364902
Series: Nonconvex Optimization and Its Applications
Audience: General
Format: Hardcover
Language: English
Number Of Pages: 704
Published: 31st October 2000
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 23.22 x 18.29  x 4.47
Weight (kg): 1.27

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