Title of article
A divide-and-conquer method for the tridiagonal generalized eigenvalue problem
Author/Authors
Elsner، نويسنده , , L. and Fasse، نويسنده , , A. and Langmann، نويسنده , , E.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1997
Pages
8
From page
141
To page
148
Abstract
We introduce a divide-and-conquer method for the generalized eigenvalue problem Ax = λBx, where A and B are real symmetric tridiagonal matrices and B is positive-definite. It is a generalization of Cuppenʹs method for the standard eigenvalue problem, B = I, which is based on rank-one modifications. Our method is an alternative to a method developed by Borges and Gragg using restrictions and extensions.
Keywords
Divide-and-conquer method , Tridiagonal eigenvalue problem , generalized eigenvalue problem
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1997
Journal title
Journal of Computational and Applied Mathematics
Record number
1548524
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