An Introduction to Iterative Toepitz Solvers
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Author(s): R. H-F Chan and X-Q Jin
Publisher: SIAM
ISBN: 978089871636
Format: softback
111pp
Price: $67.00
Review Date: 03 March 2008
Review: This is the latest in the Fundamentals of Algorithms series. It gives the current developments and applications in using iterative methods for solving Toepitz systems. Toepitz systems occur in a number of applications in mathematics, scientific computing and engineering, e.g. partial differential equations; numerical solution of convolution-type integral equations; stationary autoregressive time series in statistics; minimal realisation problems in control theory; system identification problems in signal processing, and image restoration problems in image processing. The book has five chapters discussing: an introduction to Toepitz systems and their application; circulant preconditioners; a unified treatment from kernels; ill-conditioned Toepitz systems; and Block Toepitz systems.