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PPN146228820 |
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http://www.sudoc.fr/146228820 |
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20190627111200.0 |
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|a 978-1-88652-931-1
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|a 1-88652-931-0
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|a (OCoLC)451732175
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|a 20100824h20092009k y0frey0103 ba
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|a eng
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|a Convex optimization theory
|f Dimitri P. Bertsekas
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|a Belmont (Mass.)
|c Athena Scientific
|d copyright 2009
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|a 1 vol. (X-246 p.)
|c ill.
|d 24 cm
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|a Athena Scientific optimization and computation series
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| 320 |
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|a Références bibliogr. (p. 239-242) Index
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|b 1. Basic concepts of convex analysis
|c 1.1 Convex sets and functions
|c 1.2 Convex and affine hulls
|c 1.3 Relative interior and closure
|c 1.4 Recession cones
|c 1.5 Hyperplanes
|c 1.6 Conjugate functions
|c 1.7 Summary
|b 2. Basic concepts of polyhedral convexity
|c 2.1 extreme points
|c 2.2 Polar cones
|c 2.3 Polyhedral sets and functions
|c 2.4 Polyhedral aspects of optimization
|b 3. Basic concepts of convex optimization
|c 3.1 Constrained optimization
|c 3.2 Existence of optimal solutions
|c 3.3 Partial minimization of convex functions
|c 3.4 Saddle point and minimax theory
|b 4. Geometric duality framework
|c 4.1 Min common/max crossing duality
|c 4.2 Some special cases
|c 4.3 Strong duality theorem
|c 4.4 Existence of dual optimal solutions
|c 4.5 Duality and polyhedral convexity
|c 4.6 Summary
|b 5. duality and optimization
|c 5.1 Nonlinear Farka's lemma
|c 5.2 Linear programming duality
|c 5.3 Convex programming duality
|c 5.4 Subgradients and optimality conditions
|c 5.5 Minimax theory
|c 5.6 Theormes of the alternative
|c 5.7 Nonconvex problems
|b Appendix A. Mathematical background
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|0 068780141
|t Athena scientific optimization and computation series
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|3 PPN027244067
|a Optimisation mathématique
|2 rameau
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| 606 |
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|3 PPN031488951
|a Dualité, Principe de (mathématiques)
|2 rameau
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| 680 |
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|a T57.8
|b .B475 2009
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|3 PPN03244138X
|a Bertsekas
|b Dimitri P.
|f 1942-....
|4 070
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