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＜電子ブック＞
Fixed-Point Algorithms for Inverse Problems in Science and Engineering / edited by Heinz H. Bauschke, Regina S. Burachik, Patrick L. Combettes, Veit Elser, D. Russell Luke, Henry Wolkowicz
(Springer Optimization and Its Applications. ISSN:19316836 ; 49)

版	1st ed. 2011.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XII, 404 p : online resource
著者標目	Bauschke, Heinz H editor Burachik, Regina S editor Combettes, Patrick L editor Elser, Veit editor Luke, D. Russell editor Wolkowicz, Henry editor SpringerLink (Online service)
件　名	LCSH:Mathematics -- Data processing  全ての件名で検索 LCSH:Mathematical optimization LCSH:Calculus of variations LCSH:Mathematical models LCSH:Algorithms LCSH:Mathematical physics FREE:Computational Mathematics and Numerical Analysis FREE:Calculus of Variations and Optimization FREE:Mathematical Modeling and Industrial Mathematics FREE:Algorithms FREE:Theoretical, Mathematical and Computational Physics
一般注記	Fixed-Point Algorithms for Inverse Problems in Science and Engineering presents some of the most recent work from leading researchers in variational and numerical analysis.  The contributions in this collection provide state-of-the-art theory and practice in first-order fixed-point algorithms, identify emerging problems driven by applications, and discuss new approaches for solving these problems.   This book is a compendium of topics explored at the Banff International Research Station “Interdisciplinary Workshop on Fixed-Point Algorithms for Inverse Problems in Science and Engineering”  in November of 2009.  The workshop included a broad range of research including variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry.   Key topics and features of this book include: ·         Theory of Fixed-point algorithms: variational analysis, convex analysis, convex and nonconvex  optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory ·         Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods ·         Applications:  Image and signal processing, antenna optimization, location problems   The wide scope of applications presented in this volume easily serve as a basis for new and innovative research and collaboration HTTP:URL=https://doi.org/10.1007/978-1-4419-9569-8

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