  It is worth knowing that a particular tensor class belongs to $P$-tensor
which ensures the compactness to solve tensor complementarity problem (TCP). In
this study, we propose a new class of tensor, Nekrasov $Z$ tensor, in the
context of the tensor complementarity problem. We show that the class of
$P$-tensor contains the class of even ordered Nekrasov $Z$ tensors with
positive diagonal elements. In this context, we propose a procedure by which a
Nekrasov $Z$ tensor can be transformed into a tensor which is diagonally
dominant.
  Keywords: Diagonally dominant tensor, Nekrasov tensors, Nonsingular $H$
tensor, Nekrasov $Z$ tensor, $P$-tensors, Tensor complementarity problem
