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Tensor Transpose and Its Properties (1411.1503v1)
Published 6 Nov 2014 in cs.NA and math.NA
Abstract: Tensor transpose is a higher order generalization of matrix transpose. In this paper, we use permutations and symmetry group to define? the tensor transpose. Then we discuss the classification and composition of tensor transposes. Properties of tensor transpose are studied in relation to tensor multiplication, tensor eigenvalues, tensor decompositions and tensor rank.
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