吉林大学学报(理学版)

• 数学 • 上一篇    下一篇

拟行(列)对称矩阵的极分解

袁晖坪   

  1. 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:2016-10-08 出版日期:2017-05-26 发布日期:2017-05-31
  • 通讯作者: 袁晖坪 E-mail:yhp@ctbu.edu.cn

Polar Factorization of Quasirow (column) Symmetric Matrix

YUAN Huiping   

  1. Chongqing Key Laboratory of Electronic Commerce & Supply Chain System,College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, China
  • Received:2016-10-08 Online:2017-05-26 Published:2017-05-31
  • Contact: YUAN Huiping E-mail:yhp@ctbu.edu.cn

摘要: 考虑拟行(列)对称矩阵的极分解、 广义逆和扰动界, 并对拟行(列)对称矩阵的极分解进行扰动分析, 获得了拟行(列)对称矩阵的极分解和广义逆的计算公式. 结果表明, 该方法既能减少计算量与存储量, 又不会降低数值精度.

关键词: 广义逆, 扰动界, 极分解, 拟行(列)对称矩阵

Abstract: The author considered the polar factorization, generalized inverse and perturbation bound of quasirow (column) symmetric matrix, analyzed some perturbation bounds of the polar factorization of quasirow (column) symmetric matrix, and obtained the calculation formula of the polar factorization and generalized inverse of quasirow (column) symmetric matrix. The results show that the method can not only reduce the calculated amount and memory space, but also can not reduce the numerical accuracy.

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

中图分类号: 

  • O151.21