An Introduction to Iterative Toeplitz Solvers (Fundamentals of Algorithms)

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9780898716368: An Introduction to Iterative Toeplitz Solvers (Fundamentals of Algorithms)

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 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.

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Book Description:

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, including the construction of efficient circulant preconditioners, and address applications of iterative Toeplitz solvers to practical problems.

About the Author:

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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Raymond Hon-fu Chan, Xiao-Qing Jin
Editore: Society for Industrial Applied Mathematics,U.S., United States (2007)
ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Condizione libro: New. Language: English . Brand New Book. 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 s methods and algorithms to solve their own problems. An appendix containing the MATLAB(R) programs used to generate the numerical results is included. Codice libro della libreria AAN9780898716368

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Chan, Raymond Hon-Fu
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Descrizione libro Society for Industrial and Applied Mathematics, 2007. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria CE-9780898716368

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Raymond Hon-fu Chan, Xiao-Qing Jin
Editore: Society for Industrial Applied Mathematics,U.S., United States (2007)
ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 2007. Paperback. Condizione libro: New. Language: English . Brand New Book. 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 s methods and algorithms to solve their own problems. An appendix containing the MATLAB(R) programs used to generate the numerical results is included. Codice libro della libreria AAN9780898716368

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Raymond Hon-Fu Chan, Xiao-Qing Jin
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ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Society for Industrial & Applied Mathematics,U.S. Paperback. Condizione libro: new. BRAND NEW, An Introduction to Iterative Toeplitz Solvers, Raymond Hon-Fu Chan, Xiao-Qing Jin, 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(R) programs used to generate the numerical results is included. Students and researchers in computational mathematics and scientific computing will benefit from this book. Codice libro della libreria B9780898716368

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RAYMOND HON-FU CHAN , XIAO-QING JIN
Editore: Soc Industrial Applied Maths (2007)
ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Soc Industrial Applied Maths, 2007. Paperback. Condizione libro: NEW. 9780898716368 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0484170

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ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Society for Industrial & Applied, 2007. Paperback. Condizione libro: Brand New. illustrated edition. 123 pages. 9.75x7.00x0.25 inches. In Stock. Codice libro della libreria __0898716365

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Raymond Hon-Fu Chan; Xiao-Qing Jin
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ISBN 10: 0898716365 ISBN 13: 9780898716368
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Descrizione libro Society for Industrial and Applied Mathematics, 2007. Paperback. Condizione libro: New. book. Codice libro della libreria M0898716365

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