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math.OC2022

Computation of a new error bound for tensor complementarity problem with P tensor

R. Deb, A. Dutta, A. K. Das

We propose a new error bound for the solution of tensor complementarity problem TCP given that is a -tensor and is a real vector. We show tha…

math.OC2022

Necessary and sufficient conditions for a subclass of -tensor

R. Deb, A. K. Das

In this article, we introduce the class -Nekrasov tensor in the context of tensor complementarity problem. We study some tensor theoretic properties. We show that the class of B…

math.OC2022

Solution of oligopoly market equilibrium problem using modified newton method

A. Dutta, A. K. Das

The paper aims to find the solution of oligopoly market equilibrium problem through system of nonlinear equations. We propose modified newton method to obtain the solution of syste…

math.OC2022

Solution of Tensor Complementarity Problem Using Homotopy Function

A. Dutta, Bharat Kumar, Deepmala +1

The paper aims to propose a suitable method in finding the solution of tensor complementarity problem. The tensor complementarity problem is a subclass of nonlinear complementarity…

math.OC2022

Column competent tensors and tensor complementarity problem

A. Dutta, R. Deb, A. K. Das

In multilinear algebra, some special classes of matrices are extended to higher order structured tensors. The local -uniqueness solution to the linear complementarity problem ca…

math.OC2022

On some properties of -uniqueness in tensor complementarity problem

A. Dutta, R. Deb, A. K. Das

In this article we introduce column adequate tensor in the context of tensor complementarity problem and consider some important properties. The tensor complementarity problem is a…