Some stable methods for calculating inertia and solving symmetric linear systems-Reference-Cited by-同舟云学术

Some stable methods for calculating inertia and solving symmetric linear systems

Published:1977 Issue:137 Volume:31 Page:163-179
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Bunch James R.,Kaufman Linda

Abstract

Several decompositions of symmetric matrices for calculating inertia and solving systems of linear equations are discussed. New partial pivoting strategies for decomposing symmetric matrices are introduced and analyzed.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1977-31-137/S0025-5718-1977-0428694-0/S0025-5718-1977-0428694-0.pdf

Reference10 articles.

1. On the reduction of a symmetric matrix to tridiagonal form;Aasen, Jan Ole;Nordisk Tidskr. Informationsbehandling (BIT),1971

2. Analysis of the diagonal pivoting method;Bunch, J. R.;SIAM J. Numer. Anal.,1971

3. Partial pivoting strategies for symmetric matrices;Bunch, James R.;SIAM J. Numer. Anal.,1974

4. J. R. BUNCH & L. KAUFMAN, "Some stable methods for calculating inertia and solving symmetric linear systems," Univ. of Colorado Tech. Report 63, CU:CS:06375.

5. Direct methods for solving symmetric indefinite systems of linear equations;Bunch, J. R.;SIAM J. Numer. Anal.,1971

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