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02000nam a22002417a 4500 |
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710834 |
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100824t20092009xxe ||| |||| 00| 0 eng d |
| 009 |
PPN146228820 |
| 020 |
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|a 9781886529311 (rel.)
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| 020 |
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|a 1886529310
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| 024 |
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|a 9781886529311
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| 041 |
0 |
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|a eng
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| 100 |
1 |
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|a Bertsekas, Dimitri P.,
|d 1942-
|
| 245 |
1 |
0 |
|a Convex optimization theory
|c Dimitri P. Bertsekas.
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| 260 |
|
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|a Belmont (Mass.) :
|b Athena Scientific.
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| 260 |
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|c C 2009.
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| 300 |
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|a 1 volume (x-246 pages) :
|b illustrations ;
|c 24 cm.
|
| 490 |
0 |
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|a Athena Scientific optimization and computation series
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| 504 |
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|a Références bibliographiques p. 239-242. Index
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| 505 |
0 |
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|a 1. Basic concepts of convex analysis -- 1.1 Convex sets and functions -- 1.2 Convex and affine hulls -- 1.3 Relative interior and closure -- 1.4 Recession cones -- 1.5 Hyperplanes -- 1.6 Conjugate functions -- 1.7 Summary -- 2. Basic concepts of polyhedral convexity -- 2.1 extreme points -- 2.2 Polar cones -- 2.3 Polyhedral sets and functions -- 2.4 Polyhedral aspects of optimization -- 3. Basic concepts of convex optimization -- 3.1 Constrained optimization -- 3.2 Existence of optimal solutions -- 3.3 Partial minimization of convex functions -- 3.4 Saddle point and minimax theory -- 4. Geometric duality framework -- 4.1 Min common/max crossing duality -- 4.2 Some special cases -- 4.3 Strong duality theorem -- 4.4 Existence of dual optimal solutions -- 4.5 Duality and polyhedral convexity -- 4.6 Summary -- 5. duality and optimization -- 5.1 Nonlinear Farka's lemma -- 5.2 Linear programming duality -- 5.3 Convex programming duality -- 5.4 Subgradients and optimality conditions -- 5.5 Minimax theory -- 5.6 Theormes of the alternative -- 5.7 Nonconvex problems -- Appendix A. Mathematical background
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| 650 |
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|a Optimisation mathématique
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| 650 |
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|a Principe de dualité (mathématiques)
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| 997 |
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|0 710834
|1 Livre papier
|a Ressource papier
|b INSA
|c 0/Blois/
|c 1/Blois/INSA CVL/
|z Blois, INSA CVL, 519.7 BER
|z Blois, INSA CVL, 519.7 BER
|
