The generalized inverses of tensors and an application to linear models
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https://riunet.upv.es/handle/10251/103606
Cita bibliográfica
Jin, H.; Bai, M.; Benítez López, J.; Liu, X. (2017). The generalized inverses of tensors and an application to
linear models. Computers & Mathematics with Applications. 74(3):385-397. https://doi.org/10.1016/j.camwa.2017.04.017
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Resumen
[EN] In this paper, we recall and extend some tensor operations. Then, the generalized inverse of tensors is established by using tensor equations. Moreover, we investigate the leastsquares solutions of tensor equations. An algorithm to compute the Moore Penrose inverse of an arbitrary tensor is constructed. Finally, we apply the obtained results to higher order Gauss Markov theorem
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Computers & Mathematics with Applications issn: 0898-1221