Perturbation Analysis for t-Product-Based Tensor Inverse,Moore-Penrose Inverse and Tensor System  

作　　者：Zhengbang Cao Pengpeng Xie 

机构地区：[1]School of Mathematical Sciences,Ocean University of China,Qingdao 266100,Shandong,China

出　　处：《Communications on Applied Mathematics and Computation》2022年第4期1441-1456,共16页应用数学与计算数学学报（英文）

基　　金：supported by the National Natural Science Foundation of China under grant number 11801534.

摘　　要：This paper establishes some perturbation analysis for the tensor inverse,the tensor Moore-Penrose inverse,and the tensor system based on the t-product.In the settings of structured perturbations,we generalize the Sherman-Morrison-Woodbury(SMW)formula to the t-product tensor scenarios.The SMW formula can be used to perform the sensitivity analy-sis for a multilinear system of equations.

关 键 词：Perturbation analysis Moore-Penrose inverse tensor inverse Multilinear system Sherman-Morrison-Woodbury(SMW)formula 

分 类 号：O17[理学—数学]