Open AccessThe perturbation bound for the T-Drazin inverse of tensor and its application
Author(s) -
Ying-Nan Cui,
Haifeng Ma
Publication year - 2021
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2105565c
Subject(s) - drazin inverse , mathematics , perturbation (astronomy) , inverse , tensor (intrinsic definition) , pure mathematics , tensor product , mathematical analysis , geometry , quantum mechanics , physics
In this paper, let A and B be n x n x p complex tensors and B = A + E. Denote the T-Drazin inverse of A by AD. We give a perturbation bound for ||BD-AD||=||AD|| under condition (W). Considering the solution of singular tensor equation A* x = b, (b ? R(AD)) 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.