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＜電子ブック＞
Nonlinear Optimization / by Francisco J. Aragón, Miguel A. Goberna, Marco A. López, Margarita M.L. Rodríguez
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
本文言語	英語
大きさ	XIV, 350 p. 181 illus., 106 illus. in color : online resource
著者標目	*Aragón, Francisco J author Goberna, Miguel A author López, Marco A author Rodríguez, Margarita M.L author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization FREE:Optimization
一般注記	1. Preliminaries -- Part I. Analytical Optimization -- 2. Convexity -- 3. Unconstrained Optimization -- 4. Convex Optimization -- Part II. Numerical Optimization -- 5. Unconstrained Optimization Algorithms -- 6. Constrained Optimization -- Solutions to selected exercises -- References -- Index This textbook on nonlinear optimization focuses on model building, real world problems, and applications of optimization models to natural and social sciences. Organized into two parts, this book may be used as a primary text for courses on convex optimization and non-convex optimization. Definitions, proofs, and numerical methods are well illustrated and all chapters contain compelling exercises. The exercises emphasize fundamental theoretical results on optimality and duality theorems, numerical methods with or without constraints, and derivative-free optimization. Selected solutions are given. Applications to theoretical results and numerical methods are highlighted to help students comprehend methods and techniques HTTP:URL=https://doi.org/10.1007/978-3-030-11184-7

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