Author: Owe Axelsson
Publisher: Cambridge University Press
Keywords: methods, solution, iterative
Number of Pages: 672
Published: 1996-03-29
List price: $75.00
ISBN-10: 0521555698
ISBN-13: 9780521555692
Large linear systems of equations arise in most scientific problems where mathematical models are used. The most efficient methods for solving these equations are iterative methods. The first part of this book contains basic and classical material from the study of linear algebra and numerical linear algebra. The second half of the book is unique among books on this topic, because it is devoted to the construction of preconditioners and iterative acceleration methods of the conjugate gradient type. This book is for graduate students and researchers in numerical analysis and applied mathemati
Author: Henk Wymeersch
Publisher: Cambridge University Press
Keywords: design, receiver, iterative
Number of Pages: 272
Published: 2007-09-24
List price: $92.00
ISBN-10: 0521873150
ISBN-13: 9780521873154
Iterative processing is an important technique with numerous applications. Exploiting the power of factor graphs, this detailed survey provides a general framework for systematically developing iterative algorithms for digital receivers, and highlights connections between important algorithms. Starting with basic concepts in digital communications, progressively more complex ideas are presented and integrated resulting in the development of cutting-edge algorithms for iterative receivers. Real-world applications are covered in detail, including decoding for turbo and LDPC codes, and detection
Authors:P. Albertos, A. Sala,
Publisher: Springer
Keywords: control, identification, iterative
Number of Pages: 400
Published: 2002-06-20
List price: $165.00
ISBN-10: 1852335092
ISBN-13: 9781852335090
An exposition of the interplay between the modelling of dynamic systems and the design of feedback controllers based on these models is the main goal of this book. The combination of both subjects into a cohesive development allows the consistent treatment of both problems to yield powerful new tools for the improvement of system performance. Central among the themes of this work is the observation that operation of a system in feedback with a controller exposes the areas in which the model fit is constraining the controller performance achieved. The book presents new techniques for the unders
Author: C. T. Kelley
Publisher: Society for Industrial Mathematic
Keywords: applied, mathematics, frontiers, optimization, methods, iterative
Number of Pages: 196
Published: 1987-01-01
List price: $61.00
ISBN-10: 0898714338
ISBN-13: 9780898714333
This book presents a carefully selected group of methods for unconstrained and bound constrained optimization problems and analyzes them in depth both theoretically and algorithmically. It focuses on clarity in algorithmic description and analysis rather than generality, and while it provides pointers to the literature for the most general theoretical results and robust software, the author thinks it is more important that readers have a complete understanding of special cases that convey essential ideas. A companion to Kelleys book, Iterative Methods for Linear and Nonlinear Equations (SIAM
Author: David M. Young
Publisher: Dover Publications
Keywords: systems, linear, large, solution, iterative
Number of Pages: 608
Published: 2003-07-02
List price: $29.95
ISBN-10: 0486425487
ISBN-13: 9780486425481
This self-contained treatment offers a systematic development of the theory of iterative methods. Its focal point resides in an analysis of the convergence properties of the successive overrelaxation (SOR) method, as applied to a linear system with a consistently ordered matrix. The text explores the convergence properties of the SOR method and related techniques in terms of the spectral radii of the associated matrices as well as in terms of certain matrix norms. Contents include a review of matrix theory and general properties of iterative methods; SOR method and stationary modified SOR meth
Author: J. F. Traub
Publisher: American Mathematical Society
Keywords: chelsea, publishing, ams, equations, methods, solution, iterative
Number of Pages: 310
Published: 1982-01-01
List price: $39.00
ISBN-10: 0828403120
ISBN-13: 9780828403122
From the Preface (1964): ``This book presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. The relationship between the quantity and the quality of information used by an algorithm and the efficiency of the algorithm is investigated. Iteration functions are divided into four classes depending on whether they use new information at one or at several points and whether or not they reuse old information. Known iteration functions are systematized and new classes of computationally effective iteration functions are introduced. Our inter
Author: Yousef Saad
Publisher: Society for Industrial and Applied Mathematics
Keywords: systems, second, linear, sparse, methods, iterative
Number of Pages: 528
Published: 2003-04-30
List price: $107.00
ISBN-10: 0898715342
ISBN-13: 9780898715347
Since the first edition of this book was published in 1996, tremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of the new generation of linear and nonlinear systems arising in typical applications has grown. Solving the three-dimensional models of these problems using direct solvers is no longer effective. At the same time, parallel computing has penetrated these application areas as it became less expensive and standardized. Iterative methods are easier than direct solvers to imple
