行（列）反对称矩阵的极分解及其广义逆

J4 ›› 2013, Vol. 51 ›› Issue (01): 15-20.

行（列）反对称矩阵的极分解及其广义逆

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:2012-03-25 出版日期:2013-01-26 发布日期:2013-01-31
通讯作者: 袁晖坪 E-mail:yhp@ctbu.edu.cn

Polar Factorization and Generalized Inverse forRow (Column) Skew 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:2012-03-25 Online:2013-01-26 Published:2013-01-31
Contact: YUAN Huiping E-mail:yhp@ctbu.edu.cn

摘要/Abstract

摘要：

考虑行（列）反对称矩阵的极分解和广义逆, 给出了行（列）反对称矩阵的极分解和广义逆计算公式, 并对行（列）反对称矩阵的极分解作了扰动分析.
结果表明, 所给方法既减少了计算量与存储量, 又保证了数值精度.

关键词: 行（列）反对称矩阵；极分解；广义逆；扰动界

Abstract:

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

Key words: row (column) skew symmetric matrix, polar factorization, generalized inverse, perturbation bound

中图分类号:

O151.21

袁晖坪. 行（列）反对称矩阵的极分解及其广义逆[J]. J4, 2013, 51(01): 15-20.

YUAN Hui-Ping. Polar Factorization and Generalized Inverse forRow (Column) Skew Symmetric Matrix[J]. J4, 2013, 51(01): 15-20.