Convex analysis and nonlinear optimization : theory and examples /

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Bibliographic Details
Author / Creator:Borwein, Jonathan M.
Imprint:New York : Springer, c2000.
Description:x, 273 p. ; 25 cm.
Language:English
Series:CMS books in mathematics ; 3
Subject:
Format: Print Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/4710972
Hidden Bibliographic Details
Other authors / contributors:Lewis, Adrian S.
ISBN:0387989404 (hardcover : alk. paper)
Notes:Includes bibliographical references (p. 241-252) and index.

MARC

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504 |a Includes bibliographical references (p. 241-252) and index. 
505 0 0 |g 1.  |t Background --  |g 1.1.  |t Euclidean Spaces --  |g 1.2.  |t Symmetric Matrices --  |g 2.  |t Inequality Constraints --  |g 2.1.  |t Optimality Conditions --  |g 2.2.  |t Theorems of the Alternative --  |g 2.3.  |t Max-functions --  |g 3.  |t Fenchel Duality --  |g 3.1.  |t Subgradients and Convex Functions --  |g 3.2.  |t The Value Function --  |g 3.3.  |t The Fenchel Conjugate --  |g 4.  |t Convex Analysis --  |g 4.1.  |t Continuity of Convex Functions --  |g 4.2.  |t Fenchel Biconjugation --  |g 4.3.  |t Lagrangian Duality --  |g 5.  |t Special Cases --  |g 5.1.  |t Polyhedral Convex Sets and Functions --  |g 5.2.  |t Functions of Eigenvalues --  |g 5.3.  |t Duality for Linear and Semidefinite Programming --  |g 5.4.  |t Convex Process Duality --  |g 6.  |t Nonsmooth Optimization --  |g 6.1.  |t Generalized Derivatives --  |g 6.2.  |t Regularity and Strict Differentiability --  |g 6.3.  |t Tangent Cones --  |g 6.4.  |t The Limiting Subdifferential --  |g 7.  |t Karush-Kuhn-Tucker Theory --  |g 7.1.  |t An Introduction to Metric Regularity --  |g 7.2.  |t The Karush-Kuhn-Tucker Theorem --  |g 7.3.  |t Metric Regularity and the Limiting Subdifferential --  |g 7.4.  |t Second Order Conditions --  |g 8.  |t Fixed Points --  |g 8.1.  |t The Brouwer Fixed Point Theorem --  |g 8.2.  |t Selection and the Kakutani-Fan Fixed Point Theorem --  |g 8.3.  |t Variational Inequalities --  |g 9.  |t Postscript: Infinite Versus Finite Dimensions --  |g 9.1.  |t Introduction --  |g 9.2.  |t Finite Dimensionality --  |g 9.3.  |t Counterexamples and Exercises --  |g 9.4.  |t Notes on Previous Chapters --  |g 10.  |t List of Results and Notation --  |g 10.1.  |t Named Results --  |g 10.2.  |t Notation. 
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