Some Stable Methods for Calculating Inertia and Solving Symmetric Linear Systems

1 January 1977

journal article
Published by JSTOR in Mathematics of Computation

Vol. 31 (137) , 163-179
https://doi.org/10.2307/2005787

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.

Keywords

This publication has 7 references indexed in Scilit:

Partial Pivoting Strategies for Symmetric Matrices
SIAM Journal on Numerical Analysis, 1974
Manifestations of the Schur complement
Linear Algebra and its Applications, 1974
Analysis of the Diagonal Pivoting Method
SIAM Journal on Numerical Analysis, 1971
Direct Methods for Solving Symmetric Indefinite Systems of Linear Equations
SIAM Journal on Numerical Analysis, 1971
On the reduction of a symmetric matrix to tridiagonal form
BIT Numerical Mathematics, 1971
Monitoring the numerical stability of Gaussian elimination
Numerische Mathematik, 1971
The Algebraic Eigenvalue Problem
Mathematics of Computation, 1966