泛延拓矩阵的极分解与扰动界  

Polar Factorization and Perturbation Bounds for Universal Extended Matrix

作　　者：何静 袁晖坪 HE Jing;YUAN Huiping(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）》2023年第1期53-60,共8页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11871122);重庆市教委科学技术研究计划项目(批准号:KJQN201800815)。

摘　　要：用矩阵分解和广义逆的相关性质给出泛延拓矩阵的极分解、广义逆和扰动界的若干计算公式.数值实例结果表明,该方法在数值精度不变的情况下可极大降低计算量与存储量.By using the relevant properties of matrix factorization and generalized inverse, some calculating formulas of the polar factorization, generalized inverse and perturbation bounds for universal extended matrix were given. The results of numerical examples show that this method can greatly reduce the calculation amount and storage capacity without changing the numerical accuracy.

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]