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关于逆M-矩阵Schur补的几个不等式

Some inequalitites on the Schur complement of inverse M-matrix
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摘要 通过研究M-矩阵和逆M-矩阵的性质,得到有关逆M-矩阵Schur补的一些不等式;通过研究两个逆M-矩阵的Fan积,得到当两个逆M-矩阵均为严格对角占优矩阵时,它们的Fan积为M-矩阵,进而得到有关该Fan积的Schur补不等式。 The properties of M - matrix and inverse M - matrix were studied, some inequalities on the Schur complement of two inverse M - matrix were obtained. The Fan product of two inverse M - matrices were studied, the conclusion is that if the two inverse M - matrices are both strictly diagonally dominant matrices, then the Fan product of them is M - matrix. Therefore, inequalities on the Schur complement of the Fan product were obtained.
作者 楼嫏嬛
机构地区 西安邮电学院应用数理系
出处 《西安邮电学院学报》 2006年第5期127-128,131,共3页 Journal of Xi'an Institute of Posts and Telecommunications
关键词 M-矩阵 逆M-矩阵 SCHUR补 M - matrix inverse M - matrix the Schur complement
分类号 O151.21 [理学—基础数学]
  • 相关文献

参考文献4

  • 1A. Berman and R. Plemmons. Nonnegatlve matrices in the Mathematical sciences[ M]. New York: Academic Press,1978
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  • 3Zhang Fu-zhen. Matrix theory[ M]. New York:Springer,1999
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二级参考文献8

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共引文献4

西安邮电学院学报
2006年 第5期

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