2009•Journal of Southwest China Normal UniversityRequires access

Estimation for The Eigenvalues and Singular Values of Matrices

Limin Zou

Abstract

It is proved that all the eigenvalues of a kind of square matrices are located in one disk.Several easily computed inclusion regions that are guaranteed to include the eigenvalues of matrices are presented.The distributions for the eigenvalues of tensor product of matrices are obtained based on the results above.The estimation for the singular values of matrices is given.

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Key concepts: Eigenvalues and eigenvectors, Mathematics, Singular value, Tensor (intrinsic definition), Pure mathematics, Applied mathematics, Mathematical analysis, Physics