| H-矩阵的刻化及一类实矩阵逆的上下界估计 |
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| 引用本文： | 孙丽英,许兴业.H-矩阵的刻化及一类实矩阵逆的上下界估计[J].云南大学学报(自然科学版),2005,27(4):285-288. |
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| 作者姓名： | 孙丽英 许兴业 |
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| 作者单位： | 广东教育学院,数学系,广东,广州,510303 |
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| 基金项目： | 全国教育科学"十五"规划课题基金资助(FCB030794);广东高校自然科学基金资助项目基金资助(Z03095) |
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| 摘 要： | H-矩阵是一类有很强应用背景的矩阵,首先利用矩阵的分裂刻划了H-矩阵;然后给出了更精确的H-矩阵逆的上下界估计;进而把该结论推广到一类实矩阵.所用方法不同于以往有关结论,并改进了最近的相关结果.
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| 关 键 词： | H-矩阵 M-矩阵 M-分裂 谱半径 |
| 文章编号： | 0258-7971(2005)04-0285-04 |
| 修稿时间： | 2004年11月16 |
A characterization of an H-matrix and the bounds estimation for the inverse of a class real matrix |
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| SUN Li-ying,XU Xing-ye.A characterization of an H-matrix and the bounds estimation for the inverse of a class real matrix[J].Journal of Yunnan University(Natural Sciences),2005,27(4):285-288. |
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| Authors: | SUN Li-ying XU Xing-ye |
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| Institution: | Deparment of Mathematics, Guangdong Education Institute, Guangzhou 510303, China |
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| Abstract: | H-matrix is a class of widely used matrix.It is first presented that a characterization of an H-matrix by the splitting of matrix;then a more accurate bounds estimation for the inverse of an H-matrix is presented;finally the conclusions to a class of real matrix is extended.The method used in this paper is different from the others.Some recent results are imprived. |
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| Keywords: | H-matrix M-matrix M-splitting spectral radius |
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