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Iterative Solution Methods Book

Iterative Solution Methods
Iterative Solution Methods, 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 th, Iterative Solution Methods has a rating of 2 stars
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Iterative Solution Methods, 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 th, Iterative Solution Methods
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  • Iterative Solution Methods
  • Written by author Owe Axelsson
  • Published by Cambridge University Press, March 1996
  • 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 th
  • A valuable resource book for students, tutors and researchers using iterative methods.
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Preface; Acknowledgements;

1. Direct solution methods;
2. Theory of matrix eigenvalues;
3. Positive definite matrices, Schur complements, and generalized eigenvalue problems;
4. Reducible and irreducible matrices and the Perron-Frobenius theory for nonnegative matrices;
5. Basic iterative methods and their rates of convergence;
6. M-matrices, convergent splittings, and the SOR method;
7. Incomplete factorization preconditioning methods;
8. Approximate matrix inverses and corresponding preconditioning methods;
9. Block diagonal and Schur complement preconditionings;
10. Estimates of eigenvalues and condition numbers for preconditional matrices;
11. Conjugate gradient and Lanczos-type methods;
12. Generalized conjugate gradient methods;
13. The rate of convergence of the conjugate gradient method; Appendices.


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Iterative Solution Methods, 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 th, Iterative Solution Methods

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Iterative Solution Methods, 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 th, Iterative Solution Methods

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Iterative Solution Methods, 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 th, Iterative Solution Methods

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