Matrix Preconditioning Techniques and Applications (Cambridge Monographs on Applied and Computational Mathematics, Series Number 19) - Hardcover

Chen, Ke

Hardcover

ISBN 10: 0521838282 ISBN 13: 9780521838283

Publisher: Cambridge University Press, 2005

Synopsis

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.

About this title

Book Description

Very much a users-guide, this book provides insight to the use of preconditioning techniques in areas such as acoustic wave scattering, image restoration and bifurcation problems from electrical power stations. Supporting MATLAB files are available via the Web to assist and develop readers' understanding, and provide stimulus for further study.

About the Author

Dr Chen is a Reader in Applied Mathematics at the University of Liverpool.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2005
• ISBN 10: 0521838282
• ISBN 13: 9780521838283
• Binding: Hardcover
• Language: English
• Number of pages: 592