More on matrix splitting modulus-based iterative methods for solving linear complementarity problem

Bharat Kumar (), Deepmala (), A. Dutta () and A. K. Das ()
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Bharat Kumar: PDPM-Indian Institute of Information Technology Design and Manufacturing
Deepmala: PDPM-Indian Institute of Information Technology Design and Manufacturing
A. Dutta: Jadavpur University
A. K. Das: Indian Statistical Institute

OPSEARCH, 2023, vol. 60, issue 2, No 17, 1003-1020

Abstract: Abstract In this article, we present a class of new modified modulus-based matrix spitting methods to process the large and sparse linear complementarity problem (LCP). Using two positive diagonal matrices, we formulate an implicit fixed-point equation that is equivalent to a LCP and an iterative method is presented to solve the LCP with a P-matrix based on a fixed-point equation. Also, we provide some sufficient convergence conditions for the proposed methods when the system matrix is an $$H_+$$ H + -matrix. We provide two numerical examples to demonstrate the efficiency of the proposed methods.

Keywords: Linear complementarity problem; $$H_{+}$$ H + -matrix; Matrix splitting method; Convergence; 90C33; 65F10; 65F50 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:opsear:v:60:y:2023:i:2:d:10.1007_s12597-023-00634-3

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DOI: 10.1007/s12597-023-00634-3

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