Developments And Applications Of Block Toeplitz Iterative Solvers
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Author | : Xiao-Qing Jin |
Publisher | : Springer Science & Business Media |
Total Pages | : 236 |
Release | : 2003-02-28 |
Genre | : Computers |
ISBN | : 9781402008306 |
This volume contains the latest developments in the use of iterative methods to block Toeplitz systems. These systems arise in a variety of applications in mathematics, scientific computing, and engineering, such as image processing, numerical differential equations and integral equations, time series analysis, and control theory. Iterative methods such as Krylov subspace methods and multigrid methods are proposed to solve block Toeplitz systems. One of the main advantages of these iterative methods is that the operation cost of solving a large class of mn × mn block Toeplitz systems only requires O (mn log mn) operations. This book is the first book on Toeplitz iterative solvers and it includes recent research results. The author belongs to one of the most important groups in the field of structured matrix computation. The book is accessible to readers with a working knowledge of numerical linear algebra. It should be of interest to everyone who deals with block Toeplitz systems, numerical linear algebra, partial differential equations, ordinary differential equations, image processing, and approximation theory.
Author | : Xiao-Qing Jin |
Publisher | : |
Total Pages | : |
Release | : 2006 |
Genre | : |
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Author | : Raymond Hon-Fu Chan |
Publisher | : SIAM |
Total Pages | : 118 |
Release | : 2007-11-22 |
Genre | : Mathematics |
ISBN | : 0898716365 |
A practical introduction to current developments in using iterative methods for solving Toeplitz systems.
Author | : Michael K. Ng |
Publisher | : Numerical Mathematics and Scie |
Total Pages | : 370 |
Release | : 2004 |
Genre | : Computers |
ISBN | : 9780198504207 |
Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing.
Author | : Raymond Hon-Fu Chan |
Publisher | : SIAM |
Total Pages | : 123 |
Release | : 2007-01-01 |
Genre | : Mathematics |
ISBN | : 9780898718850 |
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.
Author | : |
Publisher | : |
Total Pages | : 216 |
Release | : 2002 |
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本书收集有王宽诚教育基金会学术讲座的讲稿及资助学者参加国际学术会议的论文20篇。论文内容涉及科学技术、 历史文化、经济专论等方面.
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Total Pages | : 944 |
Release | : 2008 |
Genre | : Mathematical statistics |
ISBN | : |
Author | : Vadim Olshevsky |
Publisher | : World Scientific |
Total Pages | : 604 |
Release | : 2010-04-05 |
Genre | : Mathematics |
ISBN | : 9814469556 |
Compared to other books devoted to matrices, this volume is unique in covering the whole of a triptych consisting of algebraic theory, algorithmic problems and numerical applications, all united by the essential use and urge for development of matrix methods. This was the spirit of the 2nd International Conference on Matrix Methods and Operator Equations from 23-27 July 2007 in Moscow that was organized by Dario Bini, Gene Golub, Alexander Guterman, Vadim Olshevsky, Stefano Serra-Capizzano, Gilbert Strang and Eugene Tyrtyshnikov.Matrix methods provide the key to many problems in pure and applied mathematics. However, linear algebra theory, numerical algorithms and matrices in FEM/BEM applications usually live as if in three separate worlds. In this volume, maybe for the first time ever, they are compiled together as one entity as it was at the Moscow meeting, where the algebraic part was impersonated by Hans Schneider, algorithms by Gene Golub, and applications by Guri Marchuk. All topics intervened in plenary sessions are specially categorized into three sections of this volume.The soul of the meeting was Gene Golub, who rendered a charming “Golub's dimension” to the three main axes of the conference topics. This volume is dedicated in gratitude to his memory.
Author | : Maxim A. Olshanskii |
Publisher | : SIAM |
Total Pages | : 257 |
Release | : 2014-01-01 |
Genre | : Mathematics |
ISBN | : 1611973457 |
Iterative Methods for Linear Systems offers a mathematically rigorous introduction to fundamental iterative methods for systems of linear algebraic equations. The book distinguishes itself from other texts on the topic by providing a straightforward yet comprehensive analysis of the Krylov subspace methods, approaching the development and analysis of algorithms from various algorithmic and mathematical perspectives, and going beyond the standard description of iterative methods by connecting them in a natural way to the idea of preconditioning.
Author | : Tao Qian |
Publisher | : Springer Science & Business Media |
Total Pages | : 567 |
Release | : 2007-02-24 |
Genre | : Mathematics |
ISBN | : 376437778X |
This volume reflects the latest developments in the area of wavelet analysis and its applications. Since the cornerstone lecture of Yves Meyer presented at the ICM 1990 in Kyoto, to some extent, wavelet analysis has often been said to be mainly an applied area. However, a significant percentage of contributions now are connected to theoretical mathematical areas, and the concept of wavelets continuously stretches across various disciplines of mathematics. Key topics: Approximation and Fourier Analysis Construction of Wavelets and Frame Theory Fractal and Multifractal Theory Wavelets in Numerical Analysis Time-Frequency Analysis Adaptive Representation of Nonlinear and Non-stationary Signals Applications, particularly in image processing Through the broad spectrum, ranging from pure and applied mathematics to real applications, the book will be most useful for researchers, engineers and developers alike.