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:1 online resource (xiii, 654 pages) : : illustrations
Edition Identifiers
- ISBN:9780511624100, 0511624107
- oclc:ocn817920078
- LC Classification:QA297.8
- Dewey Decimal:511/.42
Table of Contents
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.
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