| 广义规范矩阵的一些分解式 |
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| 引用本文： | 詹仕林,詹旭洲.广义规范矩阵的一些分解式[J].安徽大学学报(自然科学版),2009,33(2). |
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| 作者姓名： | 詹仕林 詹旭洲 |
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| 作者单位： | 1. 韩山师范学院,数学系,广东,潮州,521041
2. 西安电子科技大学,理学院,陕西,西安,710071 |
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| 摘 要： | 利用广义规范矩阵与亚规范矩阵在合同下的标准形与等价条件,给出了广义规范矩阵与亚规范矩阵的一些新的分解:广义极分解,正定可对称化酉分解,对称对合分解与谱分解.作为应用,作者得到了规范矩阵与正定矩阵的一些新的分解式..
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| 关 键 词： | 广义规范矩阵 合同 广义极分解 正定可对称化酉分解 谱分解 |
Some factorization form of generalized normal matrix |
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| ZHAN Shi-lin,ZHAN Xu-zhou.Some factorization form of generalized normal matrix[J].Journal of Anhui University(Natural Sciences),2009,33(2). |
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| Authors: | ZHAN Shi-lin ZHAN Xu-zhou |
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| Institution: | 1.Department of Mathematics;Hanshan Normal University;Chaozhou 521041;China;2.School of Science;Xidian University;Xi'an 710071;China |
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| Abstract: | Applying the normalized form of generalized normal matrix(or subnormal matrix) for the congruent(or T congruent) and equivalent conditions,some new factorization form of generalized normal matrix and subnormal matrix were given: generalized polar factorization,positive definite symmetrizable unitary factorization,symmetric involution factorization and spectral factorization,and some factorization form for normal matrix and positive definite matrix were established. |
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| Keywords: | generalized norm matrix congruent generalized polar factorization positive definite symmetrizable unitary factorization spectral factorization |
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