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| 一类矩阵多项式秩的恒等式与应用 | |
| 引用本文： | 胡付高,曾玉娥. 一类矩阵多项式秩的恒等式与应用[J]. 山东大学学报(理学版), 2008, 43(8): 51-54 |
| 作者姓名： | 胡付高 曾玉娥 |
| 作者单位： | 孝感学院数学系,湖北,孝感,432000;孝感学院数学系,湖北,孝感,432000 |
| 摘 要： | 给出了矩阵秩的Frobenius不等式取等号的一个充分条件, 在此基础上获得了一类矩阵多项式秩的恒等式。 利用这些秩的恒等式统一推广了近期一些文献中的相关结论, 最后利用所得结论发现并修正了一些文献中的错误。 |
| 关 键 词： | 矩阵多项式 互素多项式 矩阵的秩 |
Identities and application of the rank of a class of matrices polynomials |
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| HU Fu-gao,ZENG Yu-e. Identities and application of the rank of a class of matrices polynomials[J]. Journal of Shandong University, 2008, 43(8): 51-54 | |
| Authors: | HU Fu-gao ZENG Yu-e |
| Affiliation: | Department of Mathematics, Xiaogan University, Xiaogan 432100, Hubei, China |
| Abstract: | A sufficient condition about the Frobenius inequality of the rank of a matrix, when it is equivalent, was given. Based on this, some identities of the rank of a class of matrix polynomials were obtained. Using these identities, some relevant conclusions in the recent literature were generalized and some errors were also found and corrected. |
| Keywords: | matrix polynomial coprime polynomial rank of matrix |
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