16 citations · 33 across the 13 of their papers we have counts for
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A simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction
Toshio Sakata, Toshio Sumi, Mitsuhiro Miyazaki
The determination of the maximal ranks of a set of a given type of tensors is a basic problem both in theory and application. In statistical applications, the maximal rank is relat…
Rank of 3-tensors with 2 slices and Kronecker canonical forms
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
Tensor type data are becoming important recently in various application fields. We determine a rank of a tensor T so that A+T is diagonalizable for a given 3-tensor A with 2 slices…
About the maximal rank of 3-tensors over the real and the complex number field
Toshio Sumi, Mitsuhiro Miyazaki, Toshio Sakata
High dimensional array data, tensor data, is becoming important in recent days. Then maximal rank of tensors is important in theory and applications. In this paper we consider the…