| 首加尾分块循环矩阵的性质研究 |
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| 引用本文： | 马江明,何承源.首加尾分块循环矩阵的性质研究[J].成都电子机械高等专科学校学报,2014(2):61-62. |
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| 作者姓名： | 马江明 何承源 |
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| 作者单位： | 西华大学数学与计算机学院,成都610039 |
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| 基金项目： | 四川省应用基础研究计划“循环矩阵的理论研究及其应用”（2013JY0178） |
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| 摘 要： | 给出首加尾分块循环矩阵的定义,得到了首加尾分块循环矩阵的矩阵表示多项式,并对其研究得到了三个首加尾分块循环矩阵的充要条件,同时获得它的数乘、和、差、乘积、幂、伴随矩阵仍然是首加尾分块循环矩阵,最后给出判断奇异性与非奇异性的一个充要条件。
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| 关 键 词： | 定义 首加尾分块循环矩阵 充要条件 奇异性 |
The Property Study on First-add-last Block Circulant Matrix |
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| MA Jiangming,HE Chengyuan.The Property Study on First-add-last Block Circulant Matrix[J].Journal of Chengdu Electromechanical College,2014(2):61-62. |
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| Authors: | MA Jiangming HE Chengyuan |
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| Affiliation: | ( School of Mathematics and Computer Engineering, Xihua University, Chengdu 610039, china ) |
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| Abstract: | The definition of first-add-last block circulant matrix is proposed in this paper, and the representative polynomial of is given. The authors deduce three necessary and sufficient conditions for first-add-last block circulant matrix and some properties that scalar multiplication, sum, difference, product, power and adjoint matrix are also first-add-last block circulant matrix . Finally the necessary and sufficient conditions for its singularity and nonsingularity are presented. |
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| Keywords: | definition first-add-last block circulant matrix necessary and sufficient condition singularity |
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