MinimaL eigenvalue of a real symmetric positive definite Toeplitz matrix

Mohamed Shalaby*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-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 languageEnglish (US)
Pages (from-to)93-99
Number of pages7
JournalApplied Mathematics and Computation
Volume64
Issue number2-3
DOIs
StatePublished - Jan 1 1994

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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