逆M-矩阵的一些性质及应用  

Some Properties of Inverse M-Matrices and Their Applications

作　　者：杨中原[1] 傅英定[1] 黄廷祝[1] 

机构地区：[1]电子科技大学应用数学学院,成都610054

出　　处：《电子科技大学学报》2005年第5期713-716,共4页Journal of University of Electronic Science and Technology of China

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。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 Mmatrices that is closed under the Hadamard multiplication is also obtained.

关 键 词：逆M-矩阵 三对角矩阵 HADAMARD积 可约矩阵 正矩阵 

分 类 号：O241.6[理学—计算数学]