Iterative solution methods

by Axelsson, O.

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Title Statements

Full title :Iterative solution methods / Owe Axelsson.

Edition Statements

Publication Date:©1996, 1994.
Edition:1st paperback ed

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge [England]
Language:eng
Publication Date:©1996, 1994.

Notes

Originally published 1994.

The Physical Object

Description:xiii, 654 pages : : illustrations ; : 24 cm

Edition Identifiers

ISBN:0521445248, 9780521445245, 0521555698, 9780521555692
oclc:ocm36328193
LC Classification:QA297.8
Dewey Decimal:511/.42

Direct solution methods -- Theory of matrix eigenvalues -- Positive definite matrices, Schur complements, and generalized eigenvalue problems -- Reducible and irreducible matrices and the Perron-Frobenius theory for nonegative matrices -- Basic iterative methods and their rates of convergence -- M-matrices, convergent splittings, and the SOR method -- Incomplete factorization preconditioning methods -- Approximate matrix inverses and corresponding preconditioning methods -- Block diagonal and Schur complement preconditionings -- Estimates of eigenvalues and condition numbers for preconditioned matrices -- Conjugate gradient and Lanczos-type methods -- Generalized conjugate gradient methods -- The rate of convergence of the conjugate gradient method -- App. A. Matrix norms, inherent errors, and computation of eigenvalues -- B. Chebyshev polynomials -- C. Some inequalities for functions of matrices.