Displaying similar documents to “A Brauer’s theorem and related results”

Bounds of modulus of eigenvalues based on Stein equation

Guang-Da Hu, Qiao Zhu (2010)

Kybernetika

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This paper is concerned with bounds of eigenvalues of a complex matrix. Both lower and upper bounds of modulus of eigenvalues are given by the Stein equation. Furthermore, two sequences are presented which converge to the minimal and the maximal modulus of eigenvalues, respectively. We have to point out that the two sequences are not recommendable for practical use for finding the minimal and the maximal modulus of eigenvalues.

A deflation formula for tridiagonal matrices

Miroslav Fiedler (1980)

Aplikace matematiky

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An explicit formula for the deflation of a tridiagonal matrix is presented. The resulting matrix is again tridiagonal.