Convex analysis and nonlinear optimization : theory and examples / Jonathan M. Borwein, Adrian S. Lewis
Type de document : MonographieCollection : CMS books in mathematics, 3Langue : anglais.Pays: Etats Unis.Mention d'édition: 2nd ed.Éditeur : New York : Springer, cop. 2006Description : 1 vol. (XII-310 p.) ; 25 cmISBN: 9780387295701; 0387295704.ISSN: 1613-5237.Bibliographie : Bibliogr. p. 275-288.Sujet MSC : 90-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to operations research and mathematical programming49-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control
90C25, Mathematical programming, Convex programming
90C51, Mathematical programming, Interior-point methods
90C90, Applications of mathematical programming
49J53, Existence theories in calculus of variations and optimal control, Set-valued and variational analysisEn-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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