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Books > Computing & IT > General theory of computing > Data structures
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Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Paperback, 2011 ed.)
Loot Price: R4,384
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Fixed-Point Algorithms for Inverse Problems in Science and Engineering (Paperback, 2011 ed.)
Series: Springer Optimization and Its Applications, 49
Expected to ship within 10 - 15 working days
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"Fixed-Point Algorithms for Inverse Problems in Science and
Engineering" presents some of the most recent work from top-notch
researchers studying projection and other first-order fixed-point
algorithms in several areas of mathematics and the applied
sciences. The material presented provides a survey of the
state-of-the-art theory and practice in fixed-point algorithms,
identifying emerging problems driven by applications, and
discussing new approaches for solving these problems. This book
incorporates diverse perspectives from broad-ranging areas of
research including, variational analysis, numerical linear algebra,
biotechnology, materials science, computational solid-state
physics, and chemistry. Topics presented include: Theory of
Fixed-point algorithms: convex analysis, convex 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. Areas of Applications: engineering
(image and signal reconstruction and decompression problems),
computer tomography and radiation treatment planning (convex
feasibility problems), astronomy (adaptive optics), crystallography
(molecular structure reconstruction), computational chemistry
(molecular structure simulation) and other areas. Because of the
variety of applications presented, this book can easily serve as a
basis for new and innovated research and collaboration.
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