Rank of 3-tensors with 2 slices and Kronecker canonical forms

Abstract

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 over the complex and real number field.

12 pages, no figure

Cited by in corpus (7)

• Tensor Rank: Some Lower and Upper Bounds
• About the maximal rank of 3-tensors over the real and the complex number field
• The Tensor Rank Problem over the Quaternions
• Canonical forms of small tensors over F_2
• Rank of tensors with size 2 x ... x 2
• Typical rank of $m\times n\times (m-1)n$ tensors with $3\le m\le n$ over the real number field
• A simple estimation of the maximal rank of tensors with two slices by row and column operations, symmetrization and induction