吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (06): 1345-1350.

• 数学 • 上一篇    下一篇

拟行(列)对称矩阵的Schur分解及正交对角分解

袁晖坪   

  1. 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
  • 收稿日期:2019-05-05 出版日期:2019-11-26 发布日期:2019-11-21
  • 通讯作者: 袁晖坪 E-mail:yhp@ctbu.edu.cn

Schur Factorization and Orthogonal Diagonal Factorizationof Quasirow (column) Symmetric Matrices#br#

YUAN Huiping   

  1. 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
  • Received:2019-05-05 Online:2019-11-26 Published:2019-11-21
  • Contact: YUAN Huiping E-mail:yhp@ctbu.edu.cn

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.

关键词: 拟行(列)对称矩阵, Schur分解, 正交对角分解, 广义逆

Abstract: The author considered the Schur factorization, orthogonal diagonal 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 factorization and generalized inverse of quasirow (column) symmetric matrices. The calculation results show that the method not only reduces the amount of calculation and storage, but also does not reduce the numerical accuracy.

Key words: quasirow (column) symmetric matrix, Schur factorization, orthogonal diagonal factorization, generalized inverse

中图分类号: 

  • O151.21