About this product

Product Identifiers

PublisherSociety for Industrial AND Applied Mathematics

ISBN-100898715342

ISBN-139780898715347

eBay Product ID (ePID)2329847

Product Key Features

Number of Pages546 Pages

LanguageEnglish

Publication NameIterative Methods for Sparse Linear Systems

SubjectDifferential Equations / Partial, Mathematical Analysis

Publication Year2003

TypeTextbook

Subject AreaMathematics

AuthorYousef Saad

FormatTrade Paperback

Dimensions

Item Height1.2 in

Item Weight33.3 Oz

Item Length9.9 in

Item Width7 in

Additional Product Features

Edition Number2

Intended AudienceScholarly & Professional

LCCN2002-044644

Dewey Edition20

IllustratedYes

Dewey Decimal512.9/434

Table Of ContentPreface to the Second Edition Preface to the First Edition Chapter 1: Background in Linear Algebra Chapter 2: Discretization of Partial Differential Equations Chapter 3: Sparse Matrices Chapter 4: Basic Iterative Methods Chapter 5: Projection Methods Chapter 6: Krylov Subspace Methods, Part I Chapter 7: Krylov Subspace Methods, Part II Chapter 8: Methods Related to the Normal Equations Chapter 9: Preconditioned Iterations Chapter 10: Preconditioning Techniques Chapter 11: Parallel Implementations Chapter 12: Parallel Preconditioners Chapter 13: Multigrid Methods Chapter 14: Domain Decomposition Methods Bibliography Index

Edition DescriptionRevised edition,New Edition

SynopsisTremendous progress has been made in the scientific and engineering disciplines regarding the use of iterative methods for linear systems. The size and complexity of linear and nonlinear systems arising in typical applications has grown, meaning that using direct solvers for the three-dimensional models of these problems is no longer effective. At the same time, parallel computing, becoming less expensive and standardized, has penetrated these application areas. Iterative methods are easier than direct solvers to implement on parallel computers but require approaches and solution algorithms that are different from classical methods. This second edition gives an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations, including a wide range of the best methods available today. A new chapter on multigrid techniques has been added, whilst material throughout has been updated, removed or shortened. Numerous exercises have been added, as well as an updated and expanded bibliography., Provides an in-depth, up-to-date view of practical algorithms for solving large-scale linear systems of equations. These equations can number in the millions and are sparse in the sense that each involves only a small number of unknowns. The methods described are iterative, i.e., they provide sequences of approximations that will converge to the solution.

LC Classification NumberQA188.S17 2003