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• W2017573175 abstract "Three interior point methods are proposed for sufficient horizontal linear complementarity problems (HLCP): a large update path following algorithm, a first order corrector-predictor method, and a second order corrector-predictor method. All algorithms produce sequences of iterates in the wide neighborhood of the central path introduced by Ai and Zhang. The algorithms do not depend on the handicap $kappa$ of the problem, so that they can be used for any sufficient HLCP. They have $O((1+kappa)sqrt{n}L)$ iteration complexity, the best iteration complexity obtained so far by any interior point method for solving sufficient linear complementarity problems. The first order corrector-predictor method is Q-quadratically convergent for problems that have a strict complementarity solution. The second order corrector-predictor method is superlinearly convergent with Q order 1.5 for general problems and with Q order 3 for problems that have a strict complementarity solution." @default.
• W2017573175 created "2016-06-24" @default.
• W2017573175 creator A5051944217 @default.
• W2017573175 date "2014-01-01" @default.
• W2017573175 modified "2023-10-01" @default.
• W2017573175 title "Interior Point Methods for Sufficient Horizontal LCP in a Wide Neighborhood of the Central Path with Best Known Iteration Complexity" @default.
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• W2017573175 doi "https://doi.org/10.1137/120884341" @default.
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