Matrix preconditioning techniques and applications /
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Author / Creator: | Chen, Ke, 1962- |
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Imprint: | Cambridge : Cambridge University Press, 2005. |
Description: | 1 online resource (xxiii, 568 pages [8] pages of plates) : illustrations (some color) |
Language: | English |
Series: | Cambridge monographs on applied and computational mathematics ; 19 Cambridge monographs on applied and computational mathematics ; 19. |
Subject: | |
Format: | E-Resource Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11811863 |
Summary: | Preconditioning techniques have emerged as an essential part of successful and efficient iterative solutions of matrices. Ke Chen's book offers a comprehensive introduction to these methods. A vast range of explicit and implicit sparse preconditioners are covered, including the conjugate gradient, multi-level and fast multi-pole methods, matrix and operator splitting, fast Fourier and wavelet transforms, incomplete LU and domain decomposition, Schur complements and approximate inverses. In addition, aspects of parallel realization using the MPI are discussed. Very much a users-guide, the book provides insight to the use of these techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems in electrical power stations. Supporting MATLAB files are available from the Web to support and develop readers' understanding, and provide stimulus for further study. Pitched at graduate level, the book is intended to serve as a useful guide and reference for students, computational practitioners, engineers and researchers alike. |
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Physical Description: | 1 online resource (xxiii, 568 pages [8] pages of plates) : illustrations (some color) |
Bibliography: | Includes bibliographical references and index. |
ISBN: | 051111558X 9780511115585 0511115032 9780511115035 9780511543258 0511543255 0521838282 9780521838283 1107150590 9781107150591 1280434805 9781280434808 9786610434800 6610434808 0511181930 9780511181931 |