SHANDONG SCIENCE ›› 2014, Vol. 27 ›› Issue (4): 104-108.doi: 10.3976/j.issn.1002-4026.2014.04.018

• Article • Previous Articles    

Lower bound of minimal eigenvalue for Hadamard product of M-matrices

YANG Xiao-ying, LIU Xin   

  1. Department of Basic Education, Sichuan Information Technology College, Guangyuan 628017, China
  • Received:2013-07-10 Published:2014-08-20 Online:2014-08-20

Abstract:

      We initially present the range of the elements of inverse matrix of A for two nonsingular M-matrices A and B. We further obtain a new estimation formula of the lower bound of the minimal eigenvalue of  B° A-1 with the theorem of Brauer. Theoretical analysis and numerical examples demonstrate that it improves the existing results.

Key words: lower bound, M-matrix, Hadamard product, inverse matrix

CLC Number: 

  • O151.21

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