Iterative solution methods

by Axelsson, Owe

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Title Statements

Full title :Iterative solution methods.

Edition Statements

Publication Date:©1994.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge, En
Language:eng
Publication Date:©1994.

The Physical Object

Description:xiii, 654 pages

Edition Identifiers

ISBN:0521445248, 9780521445245
oclc:ocn299551350
LC Classification:QA297.8
Dewey Decimal:518

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 Preconditioned Matrices -- 11. Conjugate Gradient and Lanczos-Type Methods -- 12. Generalized Conjugate Gradient Methods -- 13. The Rate of Convergence of the Conjugate Gradient Method -- App. A Matrix Norms, Inherent Errors, and Computation of Eigenvalues -- App. B Chebyshev Polynomials -- App. C Some Inequalities for Functions of Matrices.

Subjects

Algèbre fonction Schur Instructional and educational works Itération (Mathématiques) Iterative methods (Mathematics) Matériel d'éducation et de formation Matériel didactique matrice inverse matrice M. matrice positive méthode itérative méthode valeur propre Numerique valeur propre matrice