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

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...

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Bibliographic Details
Main Authors: Cao, Z. (Author), Xie, P. (Author)
Format: Article
Language:English
Published: Springer 2022
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Online Access:View Fulltext in Publisher