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An Introduction to Iterative Toeplitz Solvers

An Introduction to Iterative Toeplitz Solvers

£55.00

Part of Fundamentals of Algorithms

  • Date Published: November 2007
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898716368

£ 55.00
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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  • 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 auto-regressive time series in statistics, minimal realisation 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's methods and algorithms to solve their own problems. An appendix containing the MATLAB® programs used to generate the numerical results is included. Students and researchers in computational mathematics and scientific computing will benefit from this book.

    • A short and quick guide to the development of iterative Toeplitz solvers based on the PCG method
    • Focuses on the more important aspects of iterative Toeplitz solvers, providing an introduction to the subject
    • Enables readers to apply the book's methods and algorithms to easily solve problems
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    Product details

    • Date Published: November 2007
    • format: Paperback
    • isbn: 9780898716368
    • length: 124 pages
    • dimensions: 254 x 179 x 8 mm
    • weight: 0.24kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    1. Introduction
    2. Circulant preconditioners
    3. Unified treatment from kernels
    4. Ill-conditioned Toeplitz systems
    5. Block Toeplitz systems
    A. M-files used in the book
    Bibliography.

  • Resources for

    An Introduction to Iterative Toeplitz Solvers

    Raymond Hon-Fu Chan, Xiao-Qing Jin

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  • Authors

    Raymond Hon-Fu Chan, The Chinese University of Hong Kong
    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, Universidade de Macau
    Xiao-Qing Jin is a Professor in the Department of Mathematics at the University of Macau, China.

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