Year: 2007
CAM-Net Digest, Vol. 4 (2007), Iss. 17 : p. 5
Abstract
Subject:The 1st SIAM book written by Chinese
Toeplitz systems arise in a variety of applications in mathematics, scientific computing, and engineering, including numerical partial and ordinary differential equations, numerical solutions of convolution-type integral equations, stationary autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing.
This practical book introduces current developments in using iterative methods for solving Toeplitz systems based on the preconditioned conjugate gradient method. The authors focus on the important aspects of iterative Toeplitz solvers and give special attention to the construction of efficient circulant preconditioners. Applications of iterative Toeplitz solvers to practical problems are addressed, enabling readers to use the book methods and algorithms to solve their own problems.
An appendix containing the MATLAB programs used to generate the numerical results is included.
Audience
Students and researchers in computational mathematics and scientific computing will benefit from this book.
Keywords
Iterative method, conjugate gradient method, Toeplitz system, circulant preconditioner,
block-Toeplitz system
Raymond Hon-Fu Chan is a Professor of Mathematics in the Department of Mathematics
at the Chinese University of Hong Kong, China.
Xiao-Qing Jin is a Professor in the Department of Mathematics at the
University of Macau, China.
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Journal Article Details
Publisher Name: Global Science Press
Language: Chinese
DOI: https://doi.org/2007-CAM-17830
CAM-Net Digest, Vol. 4 (2007), Iss. 17 : p. 5
Published online: 2007-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 1