14 papers
New Accelerated Modulus-Based Iteration Method for Solving Large and Sparse Linear Complementarity Problem
Bharat Kumar, Deepmala, A. K. Das
In this article, we establish a class of new accelerated modulus-based iteration methods for solving the linear complementarity problem. When the system matrix is an -matrix,…
More on Modulus Based Iterative Method for Solving Implicit Complementarity Problem
Bharat kumar, Deepmala, A. K. Das
This article presents a class of modified new modulus-based iterative methods to process the large and sparse implicit complementarity problem (ICP). By using two positive diagonal…
Complementarity Problem With Nekrasov tensor
R. Deb, A. K. Das
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 ne…
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…
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…
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…
Solution of nonlinear system of equations through homotopy path
A. Dutta, A. K. Das
The paper aims to show the equivalency between nonlinear complementarity problem and the system of nonlinear equations. We propose a homotopy method with vector parameter in fi…
More on semipositive tensor and tensor complementarity problem
R. Deb, A. K. Das
In recent years several classes of structured matrices are extended to classes of tensors in the context of tensor complementarity problem. The tensor complementarity problem is a…
Tracing homotopy path for the solution of nonlinear complementarity Problem
A. Dutta, A. K. Das
In this article, we consider nonlinear complementarity problem. We introduce a new homotopy function for finding the solution of nonlinear complementarity problem through the traje…
Error Bound for the Linear Complementarity Problem using Plus Function
Bharat Kumar, Deepmala, A. Dutta +1
In this article we establish error bound for linear complementarity problem with -matrix using plus function. We introduce a fundamental quantity associated with a -matrix an…
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…
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…
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…
More on homotopy continuation method and discounted zero-sum stochastic game with ARAT structure
A. Dutta, A. K. Das
In this paper, we introduce a homotopy function to trace the trajectory by applying modified homotopy continuation method for finding the solution of two-person zero-sum discounted…