ISSN 
Some Properties of Inverse M-Matrices and Their Applications
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摘要: 通过对逆M-矩阵的研究,分别得到了三对角矩阵、正矩阵的逆M-矩阵的一些性质,该性质,给出了逆M-矩阵可约的充分必要条件,得到了逆M-矩阵的一个判定定理。最后,讨论了逆M-矩阵Hadamard积的封闭性,得出了一类矩阵关于Hadamard积是封闭的。Abstract: In this paper, some new properties of tridiagonally dominant and positive Inverse M-matrices are presented, respectively. Based on these properties, sufficient and necessary conditions of reducible inverse M-matrices and general inverse M-matrices are derived; Finally, a class of inverse M-matrices that is closed under the Hadamard multiplication is also obtained.
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Keywords:
- inverse M-matrix /
- tridiagonal matrix /
- hadamard product /
- reducible matrix /
- positive matrix
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