Year: 2021
Author: Yuhang Liu, Haifeng Ma
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 496–536
Abstract
In this paper, we extend the notion of the T-Schur decomposition to the weighted T-core-EP decomposition. Next, the weighted T-core-EP inverse of rectangular tensors is defined by a system, and its existence and uniqueness are obtained. Furthermore, the perturbation of the weighted T-core-EP inverse is studied under several conditions, and the relevant examples are provided to verify the perturbation bounds of the weighted T-core-EP inverse of tensors.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0052
Communications in Mathematical Research , Vol. 37 (2021), Iss. 4 : pp. 496–536
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 41
Keywords: T-product tensor perturbation analysis weighted T-core-EP inverse.