Ke Chen

Matrix Preconditioning Techniques and Applications

• Gebundenes Buch

Produktbeschreibung

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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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 592
• Erscheinungstermin: 14. Juli 2005
• Englisch
• Abmessung: 235mm x 160mm x 32mm
• Gewicht: 1085g
• ISBN-13: 9780521838283
• ISBN-10: 0521838282
• Artikelnr.: 20886963

Autorenporträt

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

Inhaltsangabe

1. Introduction; 2. Direct methods; 3. Iterative methods; 4. Matrix splitting preconditioners [t1]; 5. Approxi,ate inverse preconditioners [t2]; 6. Multilevel methods and preconditioners [t3]; 7. Multilevel recursive Schur complements preconditioners; 8. Wavelet preconditioners [t5] for A n x n and A -1 n x n; 9. Wavelet Schur preconditioners [t6]; 10. Implicit wavelet preconditioners [t7]; 11. Application I - acoustic scattering modelling; 12. Application II - coupled matrix problems; 13. Application III - image restoration and inverse problems; 14. Application IV-voltage stability in electrical power systems; 15. Parallel computing by examples.

Rezensionen

' ... packed with matehmatical description relevant for various types of preconditioning for (in particular) non-symmetric matrix equations. it could be of considerable use in introducing applicaitons scientists to possible preconditioning approaches.' Journal of Fluid Mechanics