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A path-following infeasible-interior-point algorithm for linear complementarity problems

Stephen J. Wright

Open publisher page 29 citations

Abstract

We describe an infeasible-interior-point algorithm for monotone linear complementarity problems that has polynomial complexity, global linear convergence, and local superlinear convergence with a Q-order of 2. Only one matrix factorization is required per iteration, and the analysis assumes only that a strictly complementary solution exists.

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What this paper is about

We describe an infeasible-interior-point algorithm for monotone linear complementarity problems that has polynomial complexity, global linear convergence, and local superlinear convergence with a Q-order of 2. Only one matrix factorization is required per iteration, and the analysis assumes only that a strictly complementary solution exists.

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OpenAlex reports 29 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We describe an infeasible-interior-point algorithm for monotone linear complementarity problems that has polynomial complexity, global linear convergence, and local superlinear convergence with a Q-order of 2. Only one matrix factorization is required per iteration, and the analysis assumes only that a strictly complementary solution exists.

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

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