On Some Properties of K-type Block Matrices in the Context of Complementarity Problem

A Dutta, AK Das - International Conference on Mathematics and …, 2022 - Springer
In this article, we introduce K-type block matrices which include two new classes of block
matrices, namely block triangular K-matrices and hidden block triangular K-matrices. We …

More on semipositive tensor and tensor complementarity problem

R Deb, AK Das - International Conference on Mathematics and …, 2023 - Springer
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 …

Error bound for the linear complementarity problem using plus function

B Kumar, Deepmala, A Dutta, AK Das - International Conference on …, 2023 - Springer
In this article we establish error bound for linear complementarity problem with P-matrix
using plus function. We define a fundamental quantity connected to a P-matrix and …

Solution of oligopoly market equilibrium problem using modified newton method

A Dutta, AK Das - arXiv preprint arXiv:2209.07966, 2022 - arxiv.org
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 …

On the solution set of semi-infinite tensor complementarity problem

R Deb, AK Das - International Conference on Mathematics and …, 2024 - Springer
To give a method for thinking about a more practical scenario of the problem, we introduce
the semi-infinite tensor complementarity problem in this study. We provide the sufficient and …

Tracing homotopy path for the solution of nonlinear complementarity Problem

A Dutta, AK Das - arXiv preprint arXiv:2209.00382, 2022 - arxiv.org
In this article, we consider nonlinear complementarity problem. We introduce a new
homotopy function for finding the solution of nonlinear complementarity problem through the …

Solution of nonlinear system of equations through homotopy path

A Dutta, AK Das - arXiv preprint arXiv:2209.01005, 2022 - arxiv.org
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 …

On some properties of set-valued tensor complementarity problem

R Deb, AK Das - arXiv preprint arXiv:2401.00191, 2023 - arxiv.org
In this paper, we introduce set-valued tensor complementarity problem where the elements
of the involved tensors are defined based on a set-valued mapping. We study several …

On sparse solution of tensor complementarity problem

R Deb, AK Das - Optimization Letters, 2025 - Springer
This article considers the sparse solutions of the tensor complementarity problem (TCP). For
a TCP with Z-tensor we establish a connection between the least element of the feasible set …

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

R Deb, A Dutta, AK Das - arXiv preprint arXiv:2209.14845, 2022 - arxiv.org
We propose a new error bound for the solution of tensor complementarity problem TCP
$(q,\mathcal {A}) $ given that $\mathcal {A} $ is a $ P $-tensor and $ q $ is a real vector. We …