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.
General
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