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About this book
Convex Analysis may be considered as a refinement of standard calculus, with equalities and approximations replaced by inequalities. As such, it can easily be integrated into a graduate study curriculum. Minimization algorithms, more specifically those adapted to non-differentiable functions, provide an immediate application of convex analysis to various fields related to optimization and operations research. These two topics making up the title of the book, reflect the two origins of the authors, who belong respectively to the academic world and to that of applications. Part I can be used as an introductory textbook (as a basis for courses, or for self-study); Part II continues this at a higher technical level and is addressed more to specialists, collecting results that so far have not appeared in books.
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Table of contents (8 chapters)
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Front Matter
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Back Matter
Reviews
From the reviews: "... The book is very well written, nicely illustrated, and clearly understandable even for senior undergraduate students of mathematics... Throughout the book, the authors carefully follow the recommendation by A. Einstein: 'Everything should be made as simple as possible, but not simpler.'"
Authors and Affiliations
Bibliographic Information
Book Title: Convex Analysis and Minimization Algorithms I
Book Subtitle: Fundamentals
Authors: Jean-Baptiste Hiriart-Urruty, Claude Lemaréchal
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-662-02796-7
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1993
Hardcover ISBN: 978-3-540-56850-6Published: 21 October 1993
Softcover ISBN: 978-3-642-08161-3Published: 15 May 2011
eBook ISBN: 978-3-662-02796-7Published: 09 March 2013
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 1
Number of Pages: XVIII, 418
Topics: Calculus of Variations and Optimal Control; Optimization, Applications of Mathematics, Operations Research, Management Science, Systems Theory, Control