Convex analysis and minimization algorithms : I : Fundamentals

Convex analysis and minimization algorithms : I Fundamentals

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Bibliographic Details
Main Authors : Hiriart-Urruty Jean-Baptiste (Auteur), Lemaréchal Claude (Auteur)
Format : Book
Language : anglais
Title statement : Convex analysis and minimization algorithms. I, Fundamentals / Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal
Edition : 2nd corrected printing 1996
Published : Berlin : Springer-Verlag , cop 2010
Physical Description : 1 vol. (XVII-418 p.)
Series : Grundlehren der mathematischen Wissenschaften ; 305
Subjects :
Maximums et minimums
Optimisation mathématique
Fonctions convexes
Ensembles convexes
Algorithmes
  • 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 ofFinite 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