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Showing papers by "Xiaoji Liu published in 2017"

Journal Article•DOI•
The generalized inverses of tensors and an application to linear models

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Hongwei Jin1, Hongwei Jin2, Minru Bai2, Julio Benítez1, Xiaoji Liu3 •
Polytechnic University of Valencia1, Hunan University2, Guangxi University for Nationalities3
01 Aug 2017-Computers & Mathematics With Applications
TL;DR: The generalized inverse of tensors is established by using tensor equations and an algorithm to compute the Moore–Penrose inverse of an arbitrary tensor is constructed.
Abstract: In this paper, we recall and extend some tensor operations Then, the generalized inverse of tensors is established by using tensor equations Moreover, we investigate the least-squares solutions of tensor equations An algorithm to compute the Moore–Penrose inverse of an arbitrary tensor is constructed Finally, we apply the obtained results to higher order Gauss–Markov theorem

43 citations

Journal Article•DOI•
Perturbation bound for the generalized Drazin inverse of an operator in Banach space

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Xiaoji Liu1, Yonghui Qin2•
Guangxi University for Nationalities1, Guilin University of Electronic Technology2
01 Jan 2017-Filomat
TL;DR: In this article, perturbation analysis for the generalized Drazin inverse of an operator in Banach space is considered, and necessary and sufficient conditions for the generalised invertible are given.
Abstract: In this paper, we consider perturbation analysis for the generalized Drazin inverse of an operator in Banach space. An necessary and sufficient condition for the generalized Drazin invertible is given. The upper bound is given under some certain conditions, and a relative perturbation bound is also considered.

2 citations