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2009•Journal of MathematicsRequires access

AN INTERIOR POINT METHOD FOR SOLVING MONOTONE LINEAR COMPLEMENTARITY PROBLEM

Tao Chen

Open publisher page 3 citations

Abstract

In this article, we study an interior point method to monotone linear complementarity problems. By using Newton direction and centering direction, we establish a feasible interior point algorithm for monotone linear complementarity problem and show that this method is polynomial in complexity. Numerical results indicate that the method is feasible and e?ective.

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What this paper is about

In this article, we study an interior point method to monotone linear complementarity problems. By using Newton direction and centering direction, we establish a feasible interior point algorithm for monotone linear complementarity problem and show that this method is polynomial in complexity. Numerical results indicate that the method is feasible and e?ective.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

In this article, we study an interior point method to monotone linear complementarity problems. By using Newton direction and centering direction, we establish a feasible interior point algorithm for monotone linear complementarity problem and show that this method is polynomial in complexity. Numerical results indicate that the method is feasible and e?ective.

Key concepts: Monotone polygon, Mathematics, Interior point method, Mixed complementarity problem, Linear complementarity problem, Complementarity (molecular biology), Complementarity theory, Mathematical optimization

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