2016/11/07 by Ratikanta Behera, Debasisha Mishra · 1 citation
Mathematics · Computer Science · #Tensor decomposition and applications #Matrix Theory and Algorithms #Algebraic and Geometric Analysis
paper · doi:10.1080/03081087.2016.1253662
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.