Projected fixed point iterative method for large and sparse horizontal linear complementarity problem

Bharat Kumar (), Deepmala () 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. K. Das: Indian Statistical Institute

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 2, 716-725

Abstract: Abstract For solving the horizontal linear complementarity problem, we propose two projected fixed-point matrix splitting methods. The first method is based on matrix splitting, while the second method is based on the Gauss–Seidel method. We provide some convergence conditions when the system matrices are $$H_+$$ H + -matrices. The efficiency of the proposed method is illustrated using two numerical examples for various parameters.

Keywords: Horizontal linear complementarity problem; $$H_{+}$$ H + -matrix; Matrix splitting; Convergence; 90C33; 65F10; 65F50 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00403-4

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