Author : Raymond Hon-Fu Chan
Publisher : SIAM
Page : 123 pages
File Size : 26,87 MB
Release : 2007-01-01
Category : 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 : Michael K. Ng
Publisher : Numerical Mathematics and Scie
Page : 370 pages
File Size : 39,22 MB
Release : 2004
Category : 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 : Daniele Bertaccini
Publisher : CRC Press
Page : 321 pages
File Size : 27,65 MB
Release : 2018-02-19
Category : Mathematics
ISBN : 1351649612
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.
Author : David Ronald Kincaid
Publisher :
Page : 360 pages
File Size : 47,61 MB
Release : 1990
Category : Mathematics
ISBN :
Very Good,No Highlights or Markup,all pages are intact.
Author : Maxim A. Olshanskii
Publisher : SIAM
Page : 257 pages
File Size : 18,72 MB
Release : 2014-07-21
Category : Mathematics
ISBN : 1611973465
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 : Paul Concus
Publisher :
Page : 38 pages
File Size : 39,96 MB
Release : 1989
Category : Algorithms
ISBN :
Author : Owe Axelsson
Publisher : Cambridge University Press
Page : 676 pages
File Size : 37,1 MB
Release : 1996-03-29
Category : Mathematics
ISBN : 9780521555692
This book deals primarily with the numerical solution of linear systems of equations by iterative methods. The first part of the book is intended to serve as a textbook for a numerical linear algebra course. The material assumes the reader has a basic knowledge of linear algebra, such as set theory and matrix algebra, however it is demanding for students who are not afraid of theory. To assist the reader, the more difficult passages have been marked, the definitions for each chapter are collected at the beginning of the chapter, and numerous exercises are included throughout the text. The second part of the book serves as a monograph introducing recent results in the iterative solution of linear systems, mainly using preconditioned conjugate gradient methods. This book should be a valuable resource for students and researchers alike wishing to learn more about iterative methods.
Author : David R. Kincaid
Publisher : Academic Press
Page : 350 pages
File Size : 18,30 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483260208
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.
Author : T. Kailath
Publisher : SIAM
Page : 350 pages
File Size : 48,44 MB
Release : 1999-01-01
Category : Computers
ISBN : 0898714311
This book deals with the combined issues of speed and numerical reliability in algorithm development.
Author : Yousef Saad
Publisher : SIAM
Page : 292 pages
File Size : 41,39 MB
Release : 2011-01-01
Category : Mathematics
ISBN : 9781611970739
This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.
