Further results on generalized inverses of tensors via the Einstein product |
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Authors: | Ratikanta Behera |
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Institution: | Laboratoire Jean Kuntzmann, Joseph Fourier University, Grenoble, France. |
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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. |
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Keywords: | Moore–Penrose inverse tensor matrix Einstein product |
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