Solving Multilinear Systems via Tensor Inversion

Higher order tensor inversion is possible for even order. This is due to the fact that a tensor group endowed with the contracted product is isomorphic to the general linear group of degree $n$. With these isomorphic group structures, we derive a tensor SVD which we have shown to be equivalent to we...

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Vydáno v:	SIAM journal on matrix analysis and applications Ročník 34; číslo 2; s. 542 - 570
Hlavní autoři:	Brazell, M., Li, N., Navasca, C., Tamon, C.
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
Témata:	Applied mathematics Decomposition Eigenvalues Engineering Equivalence Inversions Iterative methods Least squares method Linear algebra Mathematical analysis Mathematical models Numerical analysis Partial differential equations Signal processing Tensors
ISSN:	0895-4798, 1095-7162
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