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Reverse order law for the Moore-Penrose inverses of tensors

Authors :
Panigrahy, Krushnachandra
Behera, Ratikanta
Mishra, Debasisha
Source :
Linear and multilinear Algebra; Published online: 02 Aug 2018
Publication Year :
2017

Abstract

Reverse order law for the Moore-Penrose inverses of tensors are useful in the field of multilinear algebra. In this paper, we first prove some more identities involving the Moore-Penrose inverse of tensors. We then obtain a few necessary and sufficient conditions for the reverse order law for the Moore-Penrose inverse of tensors via the Einstein product.

Subjects

Subjects :
Mathematics - Rings and Algebras

Details

Database :
arXiv
Journal :
Linear and multilinear Algebra; Published online: 02 Aug 2018
Publication Type :
Report
Accession number :
edsarx.1708.05332
Document Type :
Working Paper
Full Text :
https://doi.org/10.1080/03081087.2018.1502252