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

Yaotang Li · Journal of Kunming University · 2011

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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