拟行（列）对称矩阵的极分解及其扰动界

J4 ›› 2013, Vol. 51 ›› Issue (03): 414-418.

拟行（列）对称矩阵的极分解及其扰动界

袁晖坪

重庆工商大学电子商务及供应链系统重庆市重点实验室, 数学与统计学院, 重庆 400067

收稿日期:2012-07-18 出版日期:2013-05-26 发布日期:2013-05-17
通讯作者: 袁晖坪 E-mail:yhp@ctbu.edu.cn

Polar Factorization and Perturbation Bound forQuasirow (column) Symmetric Matrix

YUAN Huiping

Chongqing Key Laboratory of Electronic Commerce &|Supply Chain System, College of Mathematicsand Statistics, Chongqing Technology and Business University, Chongqing 400067, China

Received:2012-07-18 Online:2013-05-26 Published:2013-05-17
Contact: YUAN Huiping E-mail:yhp@ctbu.edu.cn

摘要/Abstract

摘要：

研究拟行（列）对称矩阵的极分解、广义逆和扰动界, 给出了拟行（列）对称矩阵的极分解和广义逆的计算公式, 并对拟行（列）对称矩阵的极分解作了扰动分析. 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.

关键词: 拟行（列）对称矩阵；极分解；广义逆；扰动界

Abstract:

The author studied the polar factorization and generalized inverse and perturbation bound of quasirow (column) symmetric matrix, which leads to some new results, and presented the formula of the polar factorization and generalized inverse of quasirow (column) symmetric matrix, which makes calculation easier. In addition, some perturbation bounds of the polar factorization of quasirow (column) symmetric matrix were also presented.

Key words: quasirow (column) symmetric matrix, polar factorization, generalized inverse, perturbation bound

中图分类号:

O151.21

袁晖坪. 拟行（列）对称矩阵的极分解及其扰动界[J]. J4, 2013, 51(03): 414-418.

YUAN Hui-Ping. Polar Factorization and Perturbation Bound forQuasirow (column) Symmetric Matrix[J]. J4, 2013, 51(03): 414-418.