Further results on generalized inverses of tensors via the Einstein product

By Ratikanta Behera, Debasisha Mishra. 2016

72 citations recorded by the source corpus.

Abstract The notion of the Moore–Penrose inverse of tensors with the Einstein product was introduced, very recently. In this paper, we further elaborate on this theory by producing a few characterizations of different generalized inverses of tensors. A new method to compute the Moore–Penrose inverse of tensors is proposed. Reverse order laws for several generalized inverses of tensors are also presented. In addition to these, we discuss general solutions of multilinear systems of tensors using such theory.

Subfields: Applied Mathematics, Computational Mathematics, Computational Theory and Mathematics

View Paper: https://www.semanticscholar.org/paper/04a3d4734bf355eb8ede1de0b8b116d771a8787b

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In Applied Mathematics

1. Qing-Wen Wang
2. Xiangjian Xu

In Computational Mathematics

1. Qing-Wen Wang
2. Xiangjian Xu

In Computational Theory and Mathematics

1. Qing-Wen Wang
2. Xiangjian Xu

Citations in the corpus

• Iterative algorithms for solving some tensor equations (2019, methodology): “2 [13]: Let A ∈ RI1×···×IN×J1×···×JN , B ∈ RK1×···×KM×L1×···×LM , C ∈”