On relations between right and left eigenvectors of nonselfadjoint matrix pencils
R. Zezula, J. Roček, A. Miasnikov (1977)
Acta Universitatis Carolinae. Mathematica et Physica
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Displaying similar documents to “A Brauer’s theorem and related results”
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
The Sherman-Morrison formula and eigenvalues of a special bordered matrix.
Trenkler, G., Trenkler, D. (2005)
Acta Mathematica Universitatis Comenianae. New Series
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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.
Computation of eigenvalue and eigenvector derivatives for a general complex-valued eigensystem.
van der Aa, N.P., ter Morsche, H.G., Mattheij, R.R.M. (2007)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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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.