2022/12/27 by Deb, R., Das, A. K.
#15A69 #65F15 #99C33 #FOS: Mathematics #Optimization and Control (math.OC)
paper · doi:10.48550/arxiv.2212.13444
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