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 “The eigenvalue derivatives of linear damped systems”
On relations between right and left eigenvectors of nonselfadjoint matrix pencils
Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix
Jianxing Zhao, Caili Sang (2016)
Open Mathematics
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Some convergent sequences of the lower bounds of the minimum eigenvalue for the Hadamard product of a nonsingular M-matrix B and the inverse of a nonsingular M-matrix A are given by using Brauer’s theorem. It is proved that these sequences are monotone increasing, and numerical examples are given to show that these sequences could reach the true value of the minimum eigenvalue in some cases. These results in this paper improve some known results.
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.