Iterative solution methods

Iterative solution methods

by Axelsson, O.

Type Book
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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

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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