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     Fixed-Point Algorithms for Inverse Problems in Science and Engineering : сборник / edited by Heinz H. Bauschke, Regina S. Burachik, Patrick L. Combettes [et al.]. - Electronic text data. - New York, NY : Springer, 2011. - (Springer Optimization and Its Applications, ISSN 1931-6828 ; vol. 49). - URL: http://dx.doi.org/10.1007/978-1-4419-9569-8. - Загл. с экрана. - ISBN 978-1-4419-9569-8. - DOI 10.1007/978-1-4419-9569-8. - Текст : электронный.
    ГРНТИ УДК
    27.47.19519.85
    29.05.0353:51

    Рубрики:
    mathematics
    algorithms
    computer mathematics
    mathematical models
    calculus of variations
    physics
    mathematics
    computational Mathematics and Numerical Analysis
    calculus of Variations and Optimal Control; Optimization
    mathematical Modeling and Industrial Mathematics
    algorithm Analysis and Problem Complexity
    theoretical, Mathematical and Computational Physics

    Аннотация:   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.
    Доп. точки доступа:
    Bauschke, H.\editor.\
    Burachik, R.\editor.\
    Combettes, P.\editor.\
    Elser, V.\editor.\
    Luke, D.\editor.\
    Wolkowicz, H.\editor.\
    Экз-ры полностью -564768965



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