| 广义严格对角占优矩阵与非奇M矩阵的充要条件 |
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| 引用本文： | 郭清伟.广义严格对角占优矩阵与非奇M矩阵的充要条件[J].合肥工业大学学报(自然科学版),2001,24(1):132-135. |
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| 作者姓名： | 郭清伟 |
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| 作者单位： | 合肥工业大学 理学院, |
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| 摘 要： | 广义严格对角占优矩阵与非奇 M矩阵是非常重要的两类矩阵。文章给出了实方阵为广义严格对角占优矩阵和实方阵的比较矩阵为非奇 M矩阵的充要条件。同时 ,给出了判别广义严格对角占优矩阵 (非奇 M矩阵 )简单实用的方法 ,该方法只需要解一个非齐次线性方程组即可。
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| 关 键 词： | 严格对角占优矩阵 广义严格对角占优矩阵 非奇M矩阵 |
| 文章编号： | 1003-5060( 2001)01-0132-04 |
| 修稿时间： | 1999年11月3日 |
Necessary and sufficient conditions of generalized strictly diagonally dominant matrices and nonsingular M-matrices |
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| GUO Qing-wei.Necessary and sufficient conditions of generalized strictly diagonally dominant matrices and nonsingular M-matrices[J].Journal of Hefei University of Technology(Natural Science),2001,24(1):132-135. |
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| Authors: | GUO Qing-wei |
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| Abstract: | Generalized strictly diagonally dominant matrices and nonsingular M-matrices are two kinds of important matr ices. In this paper the necessary and sufficient (NS) condition of real square m atrix(RSM) to be a generalized strictly diagonally dominant matrix and the NS co ndition of the RSM′s comparison matrix to be a nonsingular M-matri x are given.A simple and practicable method of judging generalized strictly diag onally dominant matrices and nonsingular M-matrices is introduced. When this method is adopted,only a non-homogeneous linear equation is needed to solve. |
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| Keywords: | strictly diagonally dominant matrices generalized strictly diagonally dominant matrices nonsingular M-matrices |
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