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Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product

Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product

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.

Author Details

Yuhang Liu

Haifeng Ma

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