On general fixed point method based on matrix splitting for solving linear complementarity problem

Autor:	Bharat Kumar, Deepmala, A. K. Das
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Linear complementarity problems Matrix splitting Convergence \(H_{ }\)-matrix P-matrix Mathematics QA1-939
Zdroj:	Journal of Numerical Analysis and Approximation Theory, Vol 51, Iss 2 (2022)
Druh dokumentu:	article
ISSN:	2457-6794 2501-059X
Popis:	In this article, we introduce a modified fixed point method to process the large and sparse linear complementarity problem (LCP) and formulate an equivalent fixed point equation for the LCP and show the equivalence. Also, we provide convergence conditions when the system matrix is a \(P\)-matrix and two sufficient convergence conditions when the system matrix is an \(H_+\)-matrix. To show the efficiency of our proposed method, we illustrate two numerical examples for different parameters.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/17e15e9529b24cd2b5536c5eb057efc9 Zobrazit plný text záznamu View record in DOAJ