Journal of Guangdong University of Technology ›› 2009, Vol. 26 ›› Issue (2): 13-.

• Comprehensive Studies • Previous Articles     Next Articles

The Criteria for Tri-diagonal Period Class Inverse M-Matrices

  

  1. (1.Huali College; Guangdong University of Technology; Guangzhou 511325; China; 2.College of Mathematics and Computer Science; Xiangtan University; Xiangtan 410005; China);
  • Online:2009-02-03 Published:2009-02-03

Abstract: Partitioning specially and using the properties of schur compelements matrices,it gets the necessary and sufficient conditions for inverse M-matrices;the properties of tri-diagonal period inverse M-matrices and the necessary and sufficient conditions for the tri-diagonal matrices are combined,and the necessary and sufficient conditions of the tri-diagonal period inverse M-matrices are obtained.

Key words: M-matrices; inverse M-matrices; tri-diagonal period inverse M-matrices.;

[1] 杨传胜,杨尚骏. 逆M-矩阵在Hadamard积下的封闭性[J]. 安徽大学学报(自然科学版), 2000,(04) .

[2] 杨尚骏,范益政. 三对角线逆M-矩阵[J]. 安徽大学学报(自然科学版), 2001,(03) .

[3] 杨中原,傅英定,黄廷祝. 逆M-矩阵的一些性质及应用[J]. 电子科技大学学报, 2005,(05) .

[4] 杨传胜,徐成贤,黄廷祝. 三对角逆M-矩阵[J]. 高等学校计算数学学报, 2002,(02) .

[5] 王伟贤,王志伟. 三对角逆M矩阵的判定[J]. 高等学校计算数学学报, 2005,(03) .

[6] 杨传胜,徐成贤. 非负不可约矩阵的广义Perron补矩阵[J]. 数学进展, 2005,(03) .

[7] STRANG G. Linear Algebra and its Applications .New York: Academic Press, 1980, .

[8] Crabtree D E. Applications of M-matrices to nonnegative matrices .Duke Math. J, 1966, 33 :197-208 . 
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