摘要
考虑行(列)反对称矩阵的极分解、广义逆和扰动界,给出了行(列)反对称矩阵的极分解和广义逆的计算公式,并给出了行(列)反对称矩阵极分解的系列扰动界.结果表明,所给方法既减少了计算量与存储量,又不会降低数值精度.
The author studied the polar factorization and generalized inverse and perturbation bound of row(column)skew symmetric matrix.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 the polar factorization of row(column)skew symmetric matrix were also presented.
出处
《吉林大学学报(理学版)》
CAS
CSCD
北大核心
2014年第3期475-481,共7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)
关键词
行(列)反对称矩阵
极分解
广义逆
扰动界
row(column)skew symmetric matrix
polar factorization
generalized inverse
perturbation bound