Infeasible-Interior-Point Algorithms

作者: Shinji Mizuno

DOI: 10.1007/978-1-4613-3449-1_5

关键词: Convergence (routing)Interior point methodAlgorithmLinear programmingPoint (geometry)Linear complementarity problemComputer scienceAsymptotic computational complexityProbabilistic analysis of algorithmsInitial point

摘要: An interior-point algorithm whose initial point is not restricted to a feasible called an infeasible-interior-point algorithm. The directly solves given linear programming problem without using any artificial problem. So the has big advantage of implementation over feasible-interior-point algorithm, which start from point. We introduce primal-dual and prove global convergence When all data are integers, terminates in polynomial-time under some moderate conditions also predictor-corrector achieves better complexity superlinearly convergence.

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