A generalized class of infeasible-interior-point methods for solving horizontal linear complementarity problem is analyzed and sufficient conditions are given for the convergence of the sequence of iterates produced by methods in this class. In particular it is shown that the largest step path following algorithms generates convergent iterates even when starting from infeasible points. The computational complexity of the latter method is discussed in detail and its local convergent rate is analyzed. The primal-dual gap of the iterates produced by this method is superlinearly convergent to zero. A variant of the method has quadratic convergence.
Publié le : 1994-07-05
Classification:
LARGEST STEP ALGORITHM,
SHIFTED ANALYTIC CENTER,
INFEASIBLE CENTRAL PATH,
INTERIOR-POINT ALGORITHM,
PREDICTOR-CORRECTOR ALGORITHM,
LINEAR COMPLEMENTARITY PROBLEM,
[INFO.INFO-OH]Computer Science [cs]/Other [cs.OH],
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{Report N°: RR-2445,
author = {Bonnans, J. Frederic and Potra, Florian A.},
title = {Infeasible path following algorithms for linear complementarity problems},
journal = {HAL},
volume = {1994},
number = {0},
year = {1994},
language = {en},
url = {http://dml.mathdoc.fr/item/Report N°: RR-2445}
}
Bonnans, J. Frederic; Potra, Florian A. Infeasible path following algorithms for linear complementarity problems. HAL, Tome 1994 (1994) no. 0, . http://gdmltest.u-ga.fr/item/Report%20N%C2%B0:%20RR-2445/