Convex functions and their applications : a contemporary approach
著者
書誌事項
Convex functions and their applications : a contemporary approach
(CMS books in mathematics)
Springer, c2018
2nd ed
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注記
Includes bibliographical references (p. 377-409) and index
内容説明・目次
内容説明
Thorough introduction to an important area of mathematics
Contains recent results
Includes many exercises
目次
Convex Functions on Intervals.- Convex Sets in Real Linear Spaces.- Convex Functions on a Normed Linear Space.- Convexity and Majorization.- Convexity in Spaces of Matrices.- Duality and Convex Optimization.- Special Topics in Majorization Theory.- A. Generalized Convexity on Intervals.- B. Background on Convex Sets.- C. Elementary Symmetric Functions.- D. Second Order Differentiability of Convex Functions.- E. The Variational Approach of PDE.
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