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典型文献
Perturbation Analysis for t-Product-Based Tensor Inverse,Moore-Penrose Inverse and Tensor System
文献摘要:
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.
文献关键词:
作者姓名:
Zhengbang Cao;Pengpeng Xie
作者机构:
School of Mathematical Sciences,Ocean University of China,Qingdao 266100,Shandong,China
引用格式:
[1]Zhengbang Cao;Pengpeng Xie-.Perturbation Analysis for t-Product-Based Tensor Inverse,Moore-Penrose Inverse and Tensor System)[J].应用数学与计算数学学报,2022(04):1441-1456
A类:
B类:
Perturbation,Analysis,Product,Based,Tensor,Inverse,Moore,Penrose,System,This,paper,establishes,some,analysis,tensor,inverse,system,product,settings,structured,perturbations,we,generalize,Sherman,Morrison,Woodbury,SMW,formula,scenarios,can,be,used,perform,sensitivity,multilinear,equations
AB值:
0.591938
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