A path-following infeasible-interior-point algorithm for linear complementarity problems
Stephen J. Wright
Abstract
Stephen J. Wright
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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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