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Perturbation of the Weighted T-Core-EP Inverse of Tensors Based on the T-Product |
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| Authors: | Yuhang Liu Haifeng Ma |
| 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. |
| Keywords: | T-product tensor perturbation analysis weighted T-core-EP inverse |
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