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