Convex Optimization in Normed Spaces: Theory, Methods and Examples

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Self-contained, including all necessary functional and convex analysis background Blends theory and practice, focusing on algorithms, examples and applications Complete yet concise, both in depth and bibliography This work is intended to serve as a guide for graduate students and researchers who wish to get acquainted with the main theoretical and practical tools for the numerical minimization of convex functions on Hilbert spaces. Therefore, it contains the main tools that are necessary to conduct independent research on the topic. It is also a concise, easy-to-follow and self-contained textbook, which may be useful for any researcher working on related fields, as well as teachers giving graduate-level courses on the topic. It will contain a thorough revision of the extant literature including both classical and state-of-the-art references. Content Level » Research Keywords » Convex optimization - nonlinear programming - nonsmooth optimization - numerical optimization - optimal control - variational analysis Related subjects » Computational Science & Engineering - Mathematics

Author(s): Juan Peypouquet
Series: SpringerBriefs in Optimization
Publisher: Springer
Year: 2015

Language: English
Pages: C, XIV, 124

Front Matter
Pages i-xiv

Book Chapter
Pages 1-23
Basic Functional Analysis

Book Chapter
Pages 25-32
Existence of Minimizers

Book Chapter
Pages 33-64
Convex Analysis and Subdifferential Calculus

Book Chapter
Pages 65-80
Examples

Book Chapter
Pages 81-91
Problem-Solving Strategies

Book Chapter
Pages 93-117
Keynote Iterative Methods

Back Matter
Pages 119-124