Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix

Jianxing Zhao; Caili Sang

Displaying similar documents to “Some new bounds of the minimum eigenvalue for the Hadamard product of anM-matrix and an inverseM-matrix”

Bounds of modulus of eigenvalues based on Stein equation

Guang-Da Hu, Qiao Zhu (2010)

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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.

The eigenvalue derivatives of linear damped systems

Yeong-Jeu Sun (2003)

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On relations between right and left eigenvectors of nonselfadjoint matrix pencils

R. Zezula, J. Roček, A. Miasnikov (1977)

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Bounds for the singular values of a matrix involving its sparsity pattern.

Kolotilina, L.Yu. (2005)

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New bounds for the minimum eigenvalue ofM-matrices

Feng Wang, Deshu Sun (2016)

Open Mathematics

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Some new bounds for the minimum eigenvalue of M-matrices are obtained. These inequalities improve existing results, and the estimating formulas are easier to calculate since they only depend on the entries of matrices. Finally, some examples are also given to show that the bounds are better than some previous results.