Geodesic
The perturbation bound for the T-Drazin inverse of tensor and its application
Filomat, Tome 35 (2021) no. 5, p. 1565

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DOI

In this paper, let A and B be n × n × p complex tensors and B = A + E. Denote the T-Drazin inverse of A by A D. We give a perturbation bound for B D − A D /A D under condition (W). Considering the solution of singular tensor equation A * x = b, (b ∈ R(A D)) at the same time. The optimal perturbation of T-Drazin inverse of tensors and the solution of a system of tensor equations have been given.
DOI : 10.2298/FIL2105565C
Classification : 15A09, 65F20
Keywords: perturbation, T-Drazin inverse, T-product, tensor 
Ying-Nan Cui; Hai-Feng Ma. The perturbation bound for the T-Drazin inverse of tensor and its application. Filomat, Tome 35 (2021) no. 5, p. 1565 . doi: 10.2298/FIL2105565C
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     title = {The perturbation bound for the {T-Drazin} inverse of tensor and its application},
     journal = {Filomat},
     pages = {1565 },
     year = {2021},
     volume = {35},
     number = {5},
     doi = {10.2298/FIL2105565C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2105565C/}
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