Reverse-order law for core inverse of tensors
Numerical Analysis
2019-07-23 v1 Numerical Analysis
Abstract
The notion of the core inverse of tensors with the Einstein product was introduced, very recently. This paper we establish some sufficient and necessary conditions for reverse-order law of this inverse. Further, we present new results related to the mixed-type reverse-order law for core inverse. In addition to these, we discuss core inverse solutions of multilinear systems of tensors via the Einstein product. The prowess of the inverse is demonstrated for solving the Poisson problem in the multilinear system framework.
Cite
@article{arxiv.1907.09291,
title = {Reverse-order law for core inverse of tensors},
author = {Jajati Kesahri Sahoo and Ratikanta Behera},
journal= {arXiv preprint arXiv:1907.09291},
year = {2019}
}
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