| 关于稳定可逆矩阵的分解(英文) |
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| 引用本文： | 陈焕银. 关于稳定可逆矩阵的分解(英文)[J]. 数学进展, 2011, 0(1) |
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| 作者姓名： | 陈焕银 |
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| 作者单位： | 杭州师范大学数学系; |
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| 基金项目： | supported by the NSF of Zhejiang Province(No.Y6090404) |
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| 摘 要： | 证明了稳定可逆矩阵相似于两个循环矩阵的积.并且进一步地证明了稳定可逆矩阵可表成对角矩阵与换位子的积.
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| 关 键 词： | 稳定矩阵 循环矩阵 换位子 |
Factorization of Stably Invertible Matrices |
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| CHEN Huanyin. Factorization of Stably Invertible Matrices[J]. Advances in Mathematics(China), 2011, 0(1) |
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| Authors: | CHEN Huanyin |
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| Affiliation: | CHEN Huanyin (Department of Mathematics,Hangzhou Normal University,Hangzhou,Zhejiang,310036,P.R.China) |
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| Abstract: | We prove,in this article,that every stably invertible matrix is similar to the product of two cyclic matrices.Furthermore,we represent a stably invertible matrix as the product of a diagonal matrix and some commutators. |
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| Keywords: | stable matrix cyclic matrix commutator |
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