[en] Let A and B be two mutually complementary subspaces of a real Hilbert space H, T being a maximal monotone operator on H. The method of partial inverses has been introduced by J. Spingarn in 1983 for solving problems in which the object is to find x in A and y in B such that y in Tx. We present a perturbed version of this method and its most important application: a perturbed method of parallel decomposition in convex programming.
Disciplines :
Mathematics
Author, co-author :
Tossings, Patricia ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Mathématiques générales
Language :
English
Title :
Mixing proximal regularization, penalization and parallel decomposition in convex programming
Publication date :
1991
Event name :
6th French-German Conference on Optimization
Event place :
Lambrecht, Germany
Event date :
Du 2 au 8 juin 1988
Audience :
International
Main work title :
Advances in Optimization (W. Oettli - D. Pallaschke Editors), Proceedings FRG, Lambrecht
Editor :
Oettli, W.
Pallaschke, D.
Publisher :
Springer-Verlag
Collection name :
Lecture Notes in Economics and Mathematical Systems, n° 382
Pages :
85-99
Peer reviewed :
Peer reviewed
Commentary :
A similar work has been realized independently and quite differently by A. Moudafi (Perturbation de la méthode de l'inverse partiel, Techn. Report, AVAMAC, Université de Perpignan, France, 1987).
