Generalized Tensor Function via the Tensor Singular Value Decomposition based on the T-Product

T-Jordan Canonical Form and T-Drazin Inverse Based on the T-Product

“…The concepts of T-range space, T-null space, tensor norm, and T-Moore-Penrose inverse are given as follows [30]. Definition 5.…”

“…(2) The T-null space of A, N (A) := Null((F H p ⊗I n 1 )bcirc(A)(F p ⊗I n 1 )), 'Null' represents the null space, (3) The tensor unitary invariant norm A := bcirc(A) , where the matrix norm • should also be chosen as a unitary invariant norm. (4) The T-Moore-Penrose inverse [30] A † = bcirc −1 ((bcirc(A)) † ).…”