行(列)对称矩阵的极分解  

Polar Factorization of Row(Column)Symmetric Matrix

作　　者：袁晖坪[1] 

机构地区：[1]重庆工商大学数学与统计学院,电子商务及供应链系统重庆市重点实验室,重庆400067

出　　处：《吉林大学学报（理学版）》2016年第3期415-420,共6页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11271388);电子商务及供应链系统重庆市重点实验室专项基金(批准号:2012ECSC0216);重庆市自然科学基金(批准号:cstc2015jcyjA00009)

摘　　要：考虑行(列)对称矩阵的极分解、广义逆和扰动界,给出了行(列)对称矩阵的极分解及广义逆的计算公式,并推出了行(列)对称矩阵极分解的若干扰动界.结果表明,该方法简便快捷,且不降低数值精度.The author considered the polar factorization,generalized inverse and perturbation bound of row（column）symmetric matrix,and gave the calculation formula of the polar factorization and generalized inverse of row（column）symmetric matrix.Some perturbation bounds of the polar factorization of row（column）symmetric matrix were presented.The results show that the algorithm is simple and fast,and it doesn’t reduce the numerical accuracy.

关 键 词：行(列)对称矩阵 极分解 广义逆 扰动界 

分 类 号：O151.21[理学—数学]