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Convex Analysis and Minimization Algorithms I
Jean-Baptiste Hiriart-Urruty
Claude Lemarechal
其他書名
Fundamentals
出版
Springer Science & Business Media
, 2013-03-09
主題
Mathematics / Calculus
Mathematics / Applied
Business & Economics / Operations Research
Science / System Theory
Mathematics / Functional Analysis
Mathematics / General
Language Arts & Disciplines / Library & Information Science / General
ISBN
3662027968
9783662027967
URL
http://books.google.com.hk/books?id=W_b0CAAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.