| 行（列）对称矩阵的Schur分解和正规阵分解 |
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| 引用本文： | 袁晖坪.行（列）对称矩阵的Schur分解和正规阵分解[J].山东大学学报(理学版),2007,42(10):123-126. |
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| 作者姓名： | 袁晖坪 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 基金项目： | 重庆市自然科学基金;重庆市教委资助项目 |
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| 摘 要： | 提出了行（列）转置矩阵与行（列）反对称矩阵的概念，研究了它们的性质，获得了一些新的结果，给出了行（列）对称矩阵的Schur分解与正规阵分解的公式，它们可极大地减少行（列）对称矩阵的Schur分解与正规阵分解的计算量与存储量.
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| 关 键 词： | 行（列）转置矩阵 行（列）对称矩阵 正规矩阵 Schur分解 |
| 文章编号： | 1671-9352（2007）10-0123-04 |
| 修稿时间： | 2007-03-16 |
Schur factorization and normal matrices factorization of row (column) symmetric matrices |
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| YUAN Hui-ping.Schur factorization and normal matrices factorization of row (column) symmetric matrices[J].Journal of Shandong University,2007,42(10):123-126. |
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| Authors: | YUAN Hui-ping |
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| Institution: | School of science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The concept of row (column) transposed matrix and row (column) symmetric matrix are given, and their basic properties are also studied. The formula for the Schur factorization and normal matrix factorization of row (column) symmetric matrix are obtained, which all can dramatically reduce the amount of calculation and Schur factorization and normal matrix factorization of row (column) symmetric matrix can save dramatically the CPU time and memory without losing any numerical precision. |
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| Keywords: | row (column) transposed matrix row (column) symmetric matrix normal matrix Schur factorization |
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