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| 摘要: |
| 研究了复矩阵的次正定性的性质和一系列充分必要条件,得到了“n阶次正定复矩阵的次特征值实部为正”与“当JA为复正规矩阵时,A是次正定复矩阵的充分必要条件是A的次特征值实部为正”等结论;讨论并给出了矩阵乘积是次正定复矩阵的充分和充要条件;得到了与著名的Ostrowski-Taussky不等式、Hadamard不等式、Oppenhein不等式等相应的重要结果. |
| 关键词: 次转置矩阵,次正定Hermite矩阵,次正定复矩阵,次特征值 |
| DOI： |
| 分类号:O151.21 |
| 基金项目: |
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| Metapositive definite complex matrix. |
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GUO Hua LI Qing-yu
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| Abstract: |
| The properties of metapositive definite complex matrices and a group of sufficiencies as well are discussed.This paper includes theorems such as the one that the real parts of the sub-characteristic values belonged to an n-square metapositive definite com |
| Key words: sub-transpositive matrix,meta-Hermit matrix,metapositive definite complex matrix,sub-characteristic value |
