A NOTE ON THE FIXED POINT METHOD AND THE LINEAR COMPLEMENTARITY PROBLEM^∗

Authors

Bharat Kumar, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design & Manufacturing Jabalpur
Deepmala, Pandit Dwarka Prasad Mishra Indian Institute of Information Technology, Design & Manufacturing Jabalpur
A. K. Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Journal of Numerical Analysis and Approximation Theory

Abstract

In this paper, we propose an extended form of a fixed point method for processing the large and sparse linear complementarity problem (LCP). We obtain an equivalent form of LCP by using two positive diagonal matrices and prove the equivalence. For the proposed method, we provide some convergence conditions when the system matrix is a P-matrix or an H+-matrix or a symmetric positive definite matrix.

First Page

82

Last Page

89

DOI

https://10.33993/jnaat521-1290

Publication Date

7-31-2023

Comments

Open Access, Gold

Recommended Citation

Kumar, Bharat; Deepmala; and Das, A. K., "A NOTE ON THE FIXED POINT METHOD AND THE LINEAR COMPLEMENTARITY PROBLEM^∗" (2023). Journal Articles. 3641.
https://digitalcommons.isical.ac.in/journal-articles/3641