2011•Journal of Kunming UniversityRequires access

Estimation for the Eigenvalues and the Smallest Singular Value of Complex Matrices

Yaotang Li

Abstract

The estimations of eigenvalues and the smallest singular values of complex matrices are researched.A new closed disk is obtained which contains all eigenvalues of a given complex matrix and a new lower bound of the smallest singular value of a given complex matrix is given.The lower bound improves the lower bound of Theorem 4 in [1].Finally,Numerical examples are used to illustrate the effectiveness of the results.

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Key concepts: Singular value, Eigenvalues and eigenvectors, Mathematics, Upper and lower bounds, Complex matrix, Matrix (chemical analysis), Value (mathematics), Pure mathematics