| 谱正型广义正定矩阵 |
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| 引用本文： | 刘建州,唐华.谱正型广义正定矩阵[J].湘潭大学自然科学学报,1997,19(3):12-16. |
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| 作者姓名： | 刘建州 唐华 |
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| 作者单位： | 湘潭大学数学系!湘潭，411105(刘建州)，长沙建委干部学校!长沙，410011(唐华) |
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| 摘 要： | 本文提出了谱正型广义正定矩阵，讨论了它的有关性质，并给出了它与稳定矩阵的关系，使我们可得出稳定矩阵一系列的充要和充分条件．本文许多结果同样适合相应的广义正定矩阵，且由本文结果及证明还容易地修正了某些结论的错误和证明错误．
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| 关 键 词： | 广义正定矩阵 谱正型广义正定矩阵 稳定矩阵 |
SPECTRAL POSITIVE TYPE GENERALIZED POSITIVE DEFINITE MATRICES |
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| Liu Jianzhou.SPECTRAL POSITIVE TYPE GENERALIZED POSITIVE DEFINITE MATRICES[J].Natural Science Journal of Xiangtan University,1997,19(3):12-16. |
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| Authors: | Liu Jianzhou |
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| Abstract: | In this paper, we advance a spectral positive type generalized positive definite matrices. The relationship between it and the stable matrices is given. Hence, we can obtaina series of necessary and sufficient conditions of stable matrices and sufficient conditions of stable matrices. Results of the paper are suited to the generalized positive definite matrices.Some results and manner of proof in this paper correct certain false results and proofs. |
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| Keywords: | generalized positive definite matrix spectral positive type generalized positive definite matrix stable matrix |
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