| 托普勒兹矩阵和广义托普勒兹矩阵的分解 |
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| 引用本文： | 张景晓.托普勒兹矩阵和广义托普勒兹矩阵的分解[J].德州学院学报,2003,19(4):8-12. |
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| 作者姓名： | 张景晓 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 给出了广义托普勒兹矩阵的生成多项式和分解多项式的概念；借助于多项式理论证明了复数域上任意一个n阶托普勒兹矩阵和广义普勒兹矩阵都可分解为n个托普勒兹块阵的乘积。
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| 关 键 词： | 托普勒兹矩阵 托普勒兹块阵 生成多项式 分解多项式 |
| 文章编号： | 1004-9444(2003)04-0008-05 |
The decomposition of toeplize matrices and generaliz toeplize matrices |
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| ZHANG Jing-xiao.The decomposition of toeplize matrices and generaliz toeplize matrices[J].Journal of Dezhou University,2003,19(4):8-12. |
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| Authors: | ZHANG Jing-xiao |
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| Abstract: | Two ideas, decomposable polynomial and generator polynomial of generalized Toeplize matrices, are given. With the use of multinomial theory it is proved that both any n - order toeplize matrix in complex number field and any generalized Toeplize matrix can be decomposed into the products of n toeplize block matrices |
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| Keywords: | Toeplize matrices Toepliz block matrices generative polynomial decomposable polynomial |
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