| 次亚正定矩阵的几个性质 |
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| 引用本文： | 郭华.次亚正定矩阵的几个性质[J].兰州理工大学学报,2005,31(2):134-136. |
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| 作者姓名： | 郭华 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 摘 要： | 研究了次亚正定矩阵的性质和一系列充分必要条件,主要得到了2 个结论:(1) n阶次亚正定矩阵的次特征值实部为正;(2) 当JA为实正规矩阵时,A是次亚正定矩阵的充分必要条件是A 的次特征值实部为正.讨论并给出了矩阵乘积是次亚正定矩阵的充分和充要条件.
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| 关 键 词： | 次转置矩阵 次亚正定矩阵 次特征值 |
| 文章编号： | 1000-5889(2005)02-0134-03 |
| 修稿时间： | 2004年2月25日 |
Several properties of metapositive semi-definite matrix |
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| GUO Hua.Several properties of metapositive semi-definite matrix[J].Journal of Lanzhou University of Technology,2005,31(2):134-136. |
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| Authors: | GUO Hua |
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| Abstract: | Several properties of metapositive semi-definite matrix and a group of sufficient and necessary conditions were discussed here.It was proved that the real parts of the sub-characteristic values of an n-order metapositive semi-definite matrix are positive and,when JA is a normal real matrix,then A is a metapositive semi-definite matrix if and only if the real part of the sub-characteristic value of A is real.Besides,the sufficient and necessary conditions of the production of two matrices being a metapositive semi-definite matrix were also discussed and given. |
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| Keywords: | subtranspositive matrix metapositive semi-definite matrix sub-characteristic value |
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