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New Mehrotra's second order predictor-corrector algorithm for P*(κ)linear complementarity problems
Authors:Mingwang Zhang  Yanli Lü
Abstract:It has been shown in various papers that most interior-point algorithms for linear optimization and their analysis can be generalized to P*(κ)linear complementarity problems.This paper presents an extension of the recent variant of Mehrotra's second order algorithm for linear optimijation.It is shown that the iteration-complexity bound of the algorithm is O((4k+3)√14k+5nlog(x0)Ts0/ε),which is similar to that of the corresponding algorithm for linear optimization.
Keywords:linear complementarity problem  P*(κ)-matrix  Meh-rotra-type predictor-corrector algorithm  polynomial complexity
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