Journal of East China Normal University(Natural Sc ›› 2008, Vol. 2008 ›› Issue (3): 67-74.

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Estimate of bounds for the eigenvalue of Hadamard product of an M-matrix and its inverse(Chinese)

Huang Rong


  • Received:2007-03-19 Revised:2007-06-08 Online:2008-05-25 Published:2008-05-25
  • Contact: Huang Rong

Abstract: Let A be a strictly block diagonally dominant matrix, the norms for blocks of its inverse were estimated. Furthermore, if A is an M-matrix, we gave a new bounds of the minimum eigenvalue of AoA-1, and proved that the bounds are less than 2/n.

Key words: M-matrix, inverse matrix, block diagonally dominant, M-matrix, inverse matrix

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