Iterative Methods for Sparse Linear Systems by Yousef Saad
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About this book :-
This book can be used to teach graduate-level courses on iterative methods for linear systems. Engineers and mathematicians will find its contents easily accessible, and practitioners and educators will value it as a helpful resource. The preface includes syllabi that can be used for either a semester- or quarter-length course in both mathematics and computer science.
This book is a practical algorithms for solving large-scale linear systems were based on relaxation of the coordinates. Beginning with a given approximate solution, these methods modify the components of the approximation, one or a few at a time and in a certain order, until convergence is reached. Each of these modifications, called relaxation steps, is aimed at annihilating one or a few components of the residual vector. Now these techniques are rarely used separately. However, when combined with the more efficient methods described in later chapters, they can be quite successful. Moreover, there are a few application areas where variations of these methods are still quite popular.
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 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.
Book Detail :-
This book has following details information.
Title:
Iterative Methods for Sparse Linear Systems by Yousef Saad by NA
Publisher:
SIAMs
Series:
freeCompBooks
Year:
2003
Pages:
556
Type:
PDF
Language:
English
ISBN-10 #:
0898715342
ISBN-13 #:
978-0898715347
Country:
Pakistan
License:
N\A
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About Author :-
The author NA
NA
Book Contents :-
conver the following topics.
1. Background in Linear Algebra
2. Discretization of PDEs
3. Sparse Matrices
4. Basic Iterative Methods
5. Projection Methods
6. Krylov Subspace Methods Part I
7. Krylov Subspace Methods Part II
8. Methods Related to the Normal Equations
9. Preconditioned Iterations
10. Preconditioning Techniques
11. Parallel Implementations
12. Parallel Preconditioners
13. Multigrid Methods
14. Domain Decomposition Methods
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