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Let A be a nonsingular M-matrix, and τ (A) denote its minimum eigenvalue. Shivakumar et al. [SIAM J. Matrix Anal. Appl., 17(2):298-312, 1996] presented some bounds of τ (A) when A is a weakly chained diagonally dominant M-matrix. The present paper establishes some new bounds of τ (A) for a general nonsingular M-matrix A. Numerical examples show that the results obtained are an improvement over some known results in certain cases.

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