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A Trace Minimization Algorithm for the Generalized Eigenvalue Problem

Published in SIAM Journal on Numerical Analysis • Dec 1, 1982
NobleIDNI6P10W43R24S72
Authors:
Ahmed Sameh
,
J.A. Wisniewski

Abstract

An algorithm for computing a few of the smallest (or largest) eigenvalues and associated eigenvectors of the large sparse generalized eigenvalue problem $Ax = \lambda Bx$ is presented. The matrices A and B are assumed to be symmetric, and haphazardly sparse, with B being positive definite. The probl...

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