journal6 ›› 2006, Vol. 27 ›› Issue (4): 13-16.

• Mathematics • Previous Articles     Next Articles

New Criteria for Generalized Strictly Diagonally Dominant Matrices


  1. (1.College of  Math. and Computer Science,Xiangtan University,Xiangtan 411105,Hunan China;2.Normal College of Jishou University,Jishou 416000,Hunan China)
  • Online:2006-07-25 Published:2012-08-22

Abstract: In this paper,we provide some new sufficient conditions for generalized strictly diagonally dominant matrices by constructing different diagonal matrices D and using the relation between the comparison matrix  B and A(in this case,B=M(A)+MT(A)).In the end,we illustrate the practical applicability of the results with a numerical example.

Key words: diagonally dominant matrix, generalized strictly diagonally dominant matrix, comparison matrix, nonsingular M-matrix, diagonally dominant matrix with nonzero elements chain, irreducible diagonally dominant matrix

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