[PDF Download] Iterative Methods For Toeplitz Systems

Iterative Methods for Toeplitz Systems PDF
Author: Michael K. Ng
Publisher: Numerical Mathematics and Scie
ISBN: 9780198504207
Size: 12.20 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 350
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Toeplitz and Toeplitz-related systems arise in a variety of applications in mathematics and engineering, especially in signal and image processing. This book deals primarily with iterative methods for solving Toeplitz and Toeplitz-related linear systems, discussing both the algorithms and their convergence theories. A basic knowledge of real analysis, elementary numerical analysis and linear algebra is assumed. The first part of the book (chapters one and two) gives a brief review of some terms and results in linear algebra and the conjugate gradient method, which are important topics for handling the mathematics later on in the book. The second part of the book (chapters three to seven) presents the theory of using iterative methods for solving Toeplitz and Toeplitz-related systems. The third part of the book (chapters eight to twelve) presents recent results from applying the use of iterative methods in different fields of applications, such as partial differential equations, signal and image processing, integral equations and queuing networks. These chapters provide research and application-oriented readers with a thorough understanding of using iterative methods, enabling them not only to apply these methods to the problems discussed but also to derive and analyze new methods for other types of problems and applications.

[PDF Download] An Introduction To Iterative Toeplitz Solvers

An Introduction to Iterative Toeplitz Solvers PDF
Author: Raymond Hon-Fu Chan
Publisher: SIAM
ISBN: 9780898718850
Size: 74.74 MB
Format: PDF, ePub
Category : Iterative methods (Mathematics)
Languages : en
Pages : 108
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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 autoregressive time series in statistics, minimal realization problems in control theory, system identification problems in signal processing, and image restoration problems in image processing.

[PDF Download] Developments And Applications Of Block Toeplitz Iterative Solvers

Developments and Applications of Block Toeplitz Iterative Solvers PDF
Author: Xiao-Qing Jin
Publisher: Springer Science & Business Media
ISBN: 9781402008306
Size: 45.32 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 218
View: 426
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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.

[PDF Download] Iterative Methods For Linear Systems

Iterative Methods for Linear Systems PDF
Author: Maxim A. Olshanskii
Publisher: SIAM
ISBN: 1611973465
Size: 46.73 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 244
View: 4344
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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.÷÷

[PDF Download] Iterative Methods For Large Linear Systems

Iterative Methods for Large Linear Systems PDF
Author: David R. Kincaid
Publisher: Academic Press
ISBN: 1483260208
Size: 24.13 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 350
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Iterative Methods for Large Linear Systems contains a wide spectrum of research topics related to iterative methods, such as searching for optimum parameters, using hierarchical basis preconditioners, utilizing software as a research tool, and developing algorithms for vector and parallel computers. This book provides an overview of the use of iterative methods for solving sparse linear systems, identifying future research directions in the mainstream of modern scientific computing with an eye to contributions of the past, present, and future. Different iterative algorithms that include the successive overrelaxation (SOR) method, symmetric and unsymmetric SOR methods, local (ad-hoc) SOR scheme, and alternating direction implicit (ADI) method are also discussed. This text likewise covers the block iterative methods, asynchronous iterative procedures, multilevel methods, adaptive algorithms, and domain decomposition algorithms. This publication is a good source for mathematicians and computer scientists interested in iterative methods for large linear systems.

[PDF Download] Iterative Methods For Queuing And Manufacturing Systems

Iterative Methods for Queuing and Manufacturing Systems PDF
Author: Wai K. Ching
Publisher: Springer Science & Business Media
ISBN: 1447139054
Size: 36.87 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 160
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An introduction to the recent advances and developments in iterative methods for solving Markovian queuing and manufacturing problems. With numerous exercises and fully-worked examples, this book is essential reading for anyone interested in the formulation and computation of queuing and manufacturing systems.

[PDF Download] A Modified Direct Preconditioner For Indefinite Symmetric Toeplitz Systems

A Modified Direct Preconditioner for Indefinite Symmetric Toeplitz Systems PDF
Author: Paul Concus
Publisher:
ISBN:
Size: 54.52 MB
Format: PDF, ePub
Category : Toeplitz matrices
Languages : en
Pages : 28
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The approximate inverse so obtained can be sufficiently accurate, moreoever, that, when it is used as a preconditioner for the applications investigated, subsequent iteration may not even be necessary. Numerical results are given for several test matrices. The perturbation to the original matrix that defines the modification is related to a perturbation in a quantity generated in the Trench algorithm; the associated stability of the Trench algorithm is discussed."

[PDF Download] Iterative Methods And Preconditioning For Large And Sparse Linear Systems With Applications

Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications PDF
Author: Daniele Bertaccini
Publisher: CRC Press
ISBN: 1351649612
Size: 66.32 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 354
View: 624
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This book describes, in a basic way, the most useful and effective iterative solvers and appropriate preconditioning techniques for some of the most important classes of large and sparse linear systems. The solution of large and sparse linear systems is the most time-consuming part for most of the scientific computing simulations. Indeed, mathematical models become more and more accurate by including a greater volume of data, but this requires the solution of larger and harder algebraic systems. In recent years, research has focused on the efficient solution of large sparse and/or structured systems generated by the discretization of numerical models by using iterative solvers.

[PDF Download] Proceedings

Proceedings PDF
Author:
Publisher:
ISBN:
Size: 75.58 MB
Format: PDF, ePub, Docs
Category : Computer engineering
Languages : en
Pages :
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[PDF Download] Fast Reliable Algorithms For Matrices With Structure

Fast Reliable Algorithms for Matrices with Structure PDF
Author: T. Kailath
Publisher: SIAM
ISBN: 0898714311
Size: 51.29 MB
Format: PDF, ePub, Docs
Category : Computers
Languages : en
Pages : 342
View: 455
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This book deals with the combined issues of speed and numerical reliability in algorithm development.