Bisection is not Optimal on Vector Processors

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1989 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Scientific and Statistical Computing, volume 10, pages 205-209 (issn: 0196-5204, eissn: 2168-3417,

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Authors: Simon, Horst D.;

doi: 10.1137/0910015

Bisection is not Optimal on Vector Processors

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Abstract

The bisection method for computing eigenvalues of symmetric tridiagonal matrices and its natural extension - the multisection method - are compared. A simple analysis and some numerical examples show that the bisection method is in general not optimal in the class of multisection methods for the extraction of one eigenvalue on vector processors. These statements are demonstrated on some numerical examples.

Keywords

Numerical computation of eigenvalues and eigenvectors of matrices, bisection method, numerical examples, multisection method, eigenvalues, symmetric tridiagonal matrices

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