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＜電子ブック＞
Optimization Theory and Methods : Nonlinear Programming / by Wenyu Sun, Ya-Xiang Yuan
(Springer Optimization and Its Applications. ISSN:19316836 ; 1)

版	1st ed. 2006.
出版者	(New York, NY : Springer US : Imprint: Springer)
出版年	2006
本文言語	英語
大きさ	XII, 688 p : online resource
著者標目	*Sun, Wenyu author Yuan, Ya-Xiang author SpringerLink (Online service)
件　名	LCSH:Mathematical optimization LCSH:Numerical analysis LCSH:Operations research LCSH:Management science LCSH:Mathematics -- Data processing  全ての件名で検索 FREE:Optimization FREE:Numerical Analysis FREE:Operations Research, Management Science FREE:Computational Science and Engineering
一般注記	Line Search -- Newton’s Methods -- Conjugate Gradient Method -- Quasi-Newton Methods -- Trust-Region Methods and Conic Model Methods -- Solving Nonlinear Least-Squares Problems -- Theory of Constrained Optimization -- Quadratic Programming -- Penalty Function Methods -- Feasible Direction Methods -- Sequential Quadratic Programming -- Trust-Region Methods for Constrained Problems -- Nonsmooth Optimization This book, a result of the authors’ teaching and research experience in various universities and institutes over the past ten years, can be used as a textbook for an optimization course for graduates and senior undergraduates. It systematically describes optimization theory and several powerful methods, including recent results. For most methods, the authors discuss an idea’s motivation, study the derivation, establish the global and local convergence, describe algorithmic steps, and discuss the numerical performance. The book deals with both theory and algorithms of optimization concurrently. It also contains an extensive bibliography with 366 references. Finally, apart from its use for teaching, Optimization Theory and Methods is also very beneficial for doing research. Audience This book is intended for senior students, graduates, teachers, and researchers in optimization, operations research, computational mathematics, applied mathematics, and some engineering and economics. It will also be useful for scientists in engineering and economics HTTP:URL=https://doi.org/10.1007/b106451

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