More on projected type iteration method and linear complementarity problem

Authors

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

Article Type

Research Article

Publication Title

Proceedings of the Indian Academy of Sciences Mathematical Sciences

Abstract

In this article, we establish a class of new projected iterative methods based on matrix splitting for solving the linear complementarity problem. We provide a fixed-point equation and demonstrate that this equation is equivalent to a linear complementarity problem. Also, we provide some convergence conditions for the proposed method when the system matrix is either a P-matrix or an H+-matrix. Several numerical examples demonstrate the effectiveness of the suggested methods, which are superior to the modulus-based matrix splitting methods in terms of the number of iteration steps and the time required by the CPU.

DOI

10.1007/s12044-025-00844-3

Publication Date

12-1-2025

Recommended Citation

Das, A. K.; Deepmala, Deepmala; and Kumar, Bharat, "More on projected type iteration method and linear complementarity problem" (2025). Journal Articles. 5466.
https://digitalcommons.isical.ac.in/journal-articles/5466