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Convex Analysis and Minimization Algorithms I: Fundamentals - Softcover

 
9783662027974: Convex Analysis and Minimization Algorithms I: Fundamentals

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Synopsis

Table of Contents Part I.- I. Convex Functions of One Real Variable.- II. Introduction to Optimization Algorithms.- III. Convex Sets.- IV. Convex Functions of Several Variables.- V. Sublinearity and Support Functions.- VI. Subdifferentials of Finite Convex Functions.- VII. Constrained Convex Minimization Problems: Minimality Conditions, Elements of Duality Theory.- VIII. Descent Theory for Convex Minimization: The Case of Complete Information.- Appendix: Notations.- 1 Some Facts About Optimization.- 2 The Set of Extended Real Numbers.- 3 Linear and Bilinear Algebra.- 4 Differentiation in a Euclidean Space.- 5 Set-Valued Analysis.- 6 A Bird's Eye View of Measure Theory and Integration.- Bibliographical Comments.- References.

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  • PublisherSpringer
  • Publication date2012
  • ISBN 10 3662027976
  • ISBN 13 9783662027974
  • BindingPaperback
  • LanguageEnglish
  • Number of pages440

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Other Popular Editions of the Same Title

9783540568506: Convex Analysis and Minimization Algorithms I: Fundamentals (Grundlehren der mathematischen Wissenschaften, 305)

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ISBN 10:  3540568506 ISBN 13:  9783540568506
Publisher: Springer, 1993
Hardcover