2012•Journal of Southwest China Normal UniversityRequires access

Estimation of the Eigenvalues of Matrices

Jianming Xue

Abstract

The purpose of this paper is to discuss the estimation of the eigenvalues of matrices.Firstly,several regions about the distribution of the eigenvalues of matrices are presented.After that,a distribution region for the eigenvalues of tensor product of matrices is presented.The effectiveness of our results is demonstrated by a numerical example.

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Available abstract

Key concepts: Eigenvalues and eigenvectors, Mathematics, Spectrum of a matrix, Distribution (mathematics), Eigenvalue perturbation, Estimation, Tensor (intrinsic definition), Applied mathematics