Convex analysis and nonlinear optimization: theory and examples / Jonathan M. Borwein, Adrian S. Lewis

Auteur: Borwein, Jonathan M. (1951-2016) - AuteurCo-auteur: Lewis, Adrian Stephen (1962-) - AuteurType de document: MonographieCollection: CMS books in mathematics ; 3Langue: anglaisPays: Etats UnisÉditeur: New York : Springer, cop. 2006Edition: 2nd ed.Description: 1 vol. (XII-310 p.) ; 25 cm ISBN: 9780387295701 ; rel. Résumé: A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance. This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. (Source : Springer).Bibliographie: Bibliogr. p. 275-288. Sujets MSC: 90-01 Operations research, mathematical programming -- Instructional exposition (textbooks, tutorial papers, etc.)
49-01 Calculus of variations and optimal control; optimization -- Instructional exposition (textbooks, tutorial papers, etc.)
90C25 Operations research, mathematical programming -- Mathematical programming -- Convex programming
90C51 Operations research, mathematical programming -- Mathematical programming -- Interior-point methods
90C90 Operations research, mathematical programming -- Mathematical programming -- Applications of mathematical programming
49J53 Calculus of variations and optimal control; optimization -- Existence theories -- Set-valued and variational analysis
En-ligne: Springerlink
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Bibliogr. p. 275-288

A cornerstone of modern optimization and analysis, convexity pervades applications ranging through engineering and computation to finance.

This concise introduction to convex analysis and its extensions aims at first year graduate students, and includes many guided exercises. The corrected Second Edition adds a chapter emphasizing concrete models. New topics include monotone operator theory, Rademacher's theorem, proximal normal geometry, Chebyshev sets, and amenability. The final material on "partial smoothness" won a 2005 SIAM Outstanding Paper Prize. (Source : Springer)

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