MinimaL eigenvalue of a real symmetric positive definite Toeplitz matrix

M. A. Shalaby

doi:10.1016/0096-3003(94)90055-8

MinimaL eigenvalue of a real symmetric positive definite Toeplitz matrix

M. A. Shalaby^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

The problem of computing the minimal eigenvalue of a real symmetric positive definite Toeplitz matrix is considered. Algorithms for estimating such an eigenvalue, which need only one or two inverses, are presented. The suggested algorithms are based on good initial approximations to the corresponding eigenvector which can be derived by approximating the Toeplitz matrix by circulant matrices.

Original language	English (US)
Pages (from-to)	93-99
Number of pages	7
Journal	Applied Mathematics and Computation
Volume	64
Issue number	2-3
DOIs	https://doi.org/10.1016/0096-3003(94)90055-8
State	Published - Sep 1994
Externally published	Yes

ASJC Scopus subject areas

Computational Mathematics
Applied Mathematics

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10.1016/0096-3003(94)90055-8

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abstract = "The problem of computing the minimal eigenvalue of a real symmetric positive definite Toeplitz matrix is considered. Algorithms for estimating such an eigenvalue, which need only one or two inverses, are presented. The suggested algorithms are based on good initial approximations to the corresponding eigenvector which can be derived by approximating the Toeplitz matrix by circulant matrices.",

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AB - The problem of computing the minimal eigenvalue of a real symmetric positive definite Toeplitz matrix is considered. Algorithms for estimating such an eigenvalue, which need only one or two inverses, are presented. The suggested algorithms are based on good initial approximations to the corresponding eigenvector which can be derived by approximating the Toeplitz matrix by circulant matrices.

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JO - Applied Mathematics and Computation

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ER -

MinimaL eigenvalue of a real symmetric positive definite Toeplitz matrix

Abstract

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