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arXiv · 2306.03563

New Relaxation Modulus Based Iterative Method for Large and Sparse Implicit Complementarity Problem

Bharat Kumar·Deepmala·A. K. Das
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Abstract

This article presents a class of new relaxation modulus-based iterative methods to process the large and sparse implicit complementarity problem (ICP). Using two positive diagonal matrices, we formulate a fixed-point equation and prove that it is equivalent to ICP. Also, we provide sufficient convergence conditions for the proposed methods when the system matrix is a $P$-matrix or an $H_+$-matrix. Keyword: Implicit complementarity problem, $H_{+}$-matrix, $P$-matrix, matrix splitting, convergence

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Bharat Kumar, Deepmala, A. K. Das. 2023-06-06. New Relaxation Modulus Based Iterative Method for Large and Sparse Implicit Complementarity Problem. https://arxiv.org/abs/2306.03563

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