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Matrix preconditioning techniques and applications /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Matrix preconditioning techniques and applications // Ke Chen.
remainder title:	Matrix Preconditioning Techniques & Applications
Author:	Chen, Ke,
Description:	1 online resource (xxiii, 568 pages) :digital, PDF file(s). :
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Differential equations - Numerical solutions -
Online resource:	https://doi.org/10.1017/CBO9780511543258
ISBN:	9780511543258 (ebook)

Matrix preconditioning techniques and applications /
Chen, Ke,1962-

Matrix preconditioning techniques and applications /Matrix Preconditioning Techniques & ApplicationsKe Chen. - 1 online resource (xxiii, 568 pages) :digital, PDF file(s). - Cambridge monographs on applied and computational mathematics ;19. - Cambridge monographs on applied and computational mathematics ;16..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Introduction --1.

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.

ISBN: 9780511543258 (ebook)Subjects--Topical Terms:

528430
Differential equations
--Numerical solutions

LC Class. No.: QA188 / .C455 2005

Dewey Class. No.: 512.9434

Matrix preconditioning techniques and applications /
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505 0 0 $g 1. $t Introduction -- $g 2. $t Direct methods -- $g 3. $t Iterative methods -- $g 4. $t Matrix splitting preconditioners [T1] : direct approximation of A[subscript nxn] -- $g 5. $t Approximate inverse preconditioners [T2] : direct approximation of A[subscript nxn][superscript -1] -- $g 6. $t Multilevel methods and preconditioners [T3] : coarse grid approximation -- $g 7. $t Multilevel recursive Schur complements preconditioners [T4] -- $g 8. $t Sparse wavelet preconditioners [T5] : approximation of A[subscript nxn] and A[subscript nxn][superscript -1] -- $g 9. $t Wavelet Schur preconditioners [T6] -- $g 10. $t Implicit wavelet preconditioners [T7} -- $g 11. $t Application I : acoustic scattering modelling -- $g 12. $t Application II : coupled matrix problems.
520 $a 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.
650 0 $a Differential equations $x Numerical solutions $x Data processing. $3 528430
650 0 $a Iterative methods (Mathematics) $x Data processing. $3 1444456
650 0 $a Integral equations $x Numerical solutions $x Data processing. $3 1444457
650 0 $a Sparse matrices $x Data processing. $3 1444458
776 0 8 $i Print version: $z 9780521838283
830 0 $a Cambridge monographs on applied and computational mathematics ; $v 16. $3 746415
856 4 0 $u https://doi.org/10.1017/CBO9780511543258