We describe an interior point algorithm for convex quadratic problem with a strict complementarity constraints. We show that under some assumptions the approach requires a total of number of iterations, where is the input size of the problem. The algorithm generates a sequence of problems, each of which is approximately solved by Newton’s method.
@article{RO_2005__39_1_13_0, author = {Benouahboun, Rachid and Mansouri, Abdelatif}, title = {An interior point algorithm for convex quadratic programming with strict equilibrium constraints}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {13--33}, publisher = {EDP-Sciences}, volume = {39}, number = {1}, year = {2005}, doi = {10.1051/ro:2005002}, mrnumber = {2166343}, zbl = {1102.90041}, language = {en}, url = {http://www.numdam.org/articles/10.1051/ro:2005002/} }
TY - JOUR AU - Benouahboun, Rachid AU - Mansouri, Abdelatif TI - An interior point algorithm for convex quadratic programming with strict equilibrium constraints JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2005 SP - 13 EP - 33 VL - 39 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro:2005002/ DO - 10.1051/ro:2005002 LA - en ID - RO_2005__39_1_13_0 ER -
%0 Journal Article %A Benouahboun, Rachid %A Mansouri, Abdelatif %T An interior point algorithm for convex quadratic programming with strict equilibrium constraints %J RAIRO - Operations Research - Recherche Opérationnelle %D 2005 %P 13-33 %V 39 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro:2005002/ %R 10.1051/ro:2005002 %G en %F RO_2005__39_1_13_0
Benouahboun, Rachid; Mansouri, Abdelatif. An interior point algorithm for convex quadratic programming with strict equilibrium constraints. RAIRO - Operations Research - Recherche Opérationnelle, Tome 39 (2005) no. 1, pp. 13-33. doi : 10.1051/ro:2005002. http://www.numdam.org/articles/10.1051/ro:2005002/
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