J4 ›› 2013, Vol. 48 ›› Issue (8): 30-33.

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Estimation on lower bounds for the minimum eigenvalue of the Hadamard  product of inverse matrix of nonsingular M-matrix and M-matrix

WANG Feng   

  1. Department of Mathematics, Heze University, Heze 274015, Shandong, China
  • Received:2013-01-17 Online:2013-08-20 Published:2013-08-21

Abstract:

Some new lower bounds for the minimum eigenvalues of the Hadamard product of inverse matrix of nonsingular M-matrix and M-matrix are given. The estimating formulas of the bounds only depend on the entries of matrices, and they are easy to calculate.These bounds improve the related results.

Key words: M-matrix; Hadamard product; minimum eigenvalue

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