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Displaying similar documents to “Upper bound for the non-maximal eigenvalues of irreducible nonnegative matrices”

New bounds for the minimum eigenvalue of the Fan product of two M -matrices

Guanghui Cheng (2014)

Czechoslovak Mathematical Journal

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In this paper, we mainly use the properties of the minimum eigenvalue of the Fan product of M -matrices and Cauchy-Schwarz inequality, and propose some new bounds for the minimum eigenvalue of the Fan product of two M -matrices. These results involve the maximum absolute value of off-diagonal entries of each row. Hence, the lower bounds for the minimum eigenvalue are easily calculated in the practical examples. In theory, a comparison is given in this paper. Finally, to illustrate our...

A note on certain ergodicity coeflcients

Francesco Tudisco (2015)

Special Matrices

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We investigate two ergodicity coefficients ɸ ∥∥ and τn−1, originally introduced to bound the subdominant eigenvalues of nonnegative matrices. The former has been generalized to complex matrices in recent years and several properties for such generalized version have been shown so far.We provide a further result concerning the limit of its powers. Then we propose a generalization of the second coefficient τ n−1 and we show that, under mild conditions, it can be used to recast the eigenvector...