泛延拓矩阵的极分解与广义逆  

Polar Factorization and Generalized Inversefor Universal Extended Matrix

作　　者：袁晖坪 吕福起 何静 江维琼 易强 吕希元 YUAN Huiping;Lü Fuqi;HE Jing;JIANG Weiqiong;YI Qiang;Lü Xiyuan(School of Software,Chongqing Finance and Economics College,Chongqing 401320,China)

机构地区：[1]重庆财经学院软件学院,重庆401320

出　　处：《吉林大学学报（理学版）》2021年第2期213-220,共8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：应用矩阵分解和广义逆理论给出泛延拓矩阵的极分解和广义逆的计算公式,并推导出泛延拓矩阵极分解的一些扰动界.结果表明,该方法在保持数值精度的同时降低了计算量与存储量.By using the theory of matrix factorization and generalized inverse,we gave the calculation formulas of the polar factorization and generalized inverse for universal extended matrix,and deduced some perturbation bounds for the polar factorization of universal extended matrix.The results show that the method not only keeps the numerical accuracy,but also reduces the calculation amount and storage capacity.

关 键 词：泛延拓矩阵 极分解 广义逆 扰动界 

分 类 号：O151.21[理学—数学]