Convex Analysis and Minimization Algorithms I: Fundamentals - Brossura

Hiriart-Urruty, Jean-Baptiste; Lemarechal, Claude

Brossura

ISBN 10: 3662027976 ISBN 13: 9783662027974

Casa editrice: Springer, 2012

Riassunto

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.

Dettagli dell'edizione

• Editore: Springer
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 3662027976
• ISBN 13: 9783662027974
• Rilegatura: Paperback
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile