拟行（列）对称矩阵的Schur分解及正交对角分解  

Schur Factorization and Orthogonal Diagonal Factorization of Quasi-row(column)Symmetric Matrices

作　　者：袁晖坪[1,2] YUAN Huiping(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)

机构地区：[1]重庆工商大学数学与统计学院 [2]经济社会应用统计重庆市重点实验室

出　　处：《吉林大学学报（理学版）》2019年第6期1345-1350,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11271388);重庆市自然科学基金(批准号:cstc2018jcyjAX0790)

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.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.

关 键 词：拟行(列)对称矩阵 SCHUR分解 正交对角分解 广义逆 

分 类 号：O151.21[理学—数学]