| 拟行(列)对称矩阵的Schur分解及正交对角分解 |
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| 引用本文： | 袁晖坪.拟行(列)对称矩阵的Schur分解及正交对角分解[J].吉林大学学报(理学版),2002,57(6):1345-1350. |
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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 数学与统计学院, 重庆 400067； 经济社会应用统计重庆市重点实验室, 重庆 400067
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| 摘 要： | 考虑拟行（列）对称矩阵的Schur分解、 正交对角分解、 Hermite矩阵分解和广义逆, 给出拟行（列）对称矩阵的Schur分解、 正交对角分解、 Hermite矩阵分解和广义逆的计算公式. 实例计算结果表明, 该方法既减少了计算量与存储量, 又不会降低数值精度.
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| 关 键 词： | 拟行（列）对称矩阵 Schur分解 正交对角分解 广义逆 |
| 收稿时间： | 2019-05-05 |
Schur Factorization and Orthogonal Diagonal Factorizationof Quasi row (column) Symmetric Matrices#br# |
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| YUAN Huiping.Schur Factorization and Orthogonal Diagonal Factorizationof Quasi row (column) Symmetric Matrices#br#[J].Journal of Jilin University: Sci Ed,2002,57(6):1345-1350. |
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| Authors: | YUAN Huiping |
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| Institution: | College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China； Chongqing Key Laboratory of Social Economy and Applied Statistics, Chongqing 400067, China
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| Abstract: | The author considered the Schur factorization, orthogonaldiagonal factorization, Hermite matrix factorization and generalized inverse of quasi row (column) symmetric matrices,gave the formulas of the Schur factorization, orthogonal diagonal factorization, Hermite matrix factorizationand generalized inverse of quasi row (column) symmetric matrices. The calculation results show that the method not only reduces the amount of calculation andstorage, but also does not reduce the numerical accuracy. |
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| Keywords: | quasi row (column) symmetric matrix Schur factorization orthogonal diagonal factorization generalized inverse
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