[en] In this paper, we present an enhanced version of the minimax algorithm of Chen, Ni, and Zhou that offers the additional guarantee that the solution found is a fix-point of a projector on a cone. Positivity, negativity, and monotonicity can be expressed in this way. The convergence of the algorithm is proved by means of a 'computational deformation lemma' instead of the usual deformation lemma used in the calculus of variations.
Research center :
CREMMI - Modélisation mathématique et informatique
Disciplines :
Computer science Mathematics
Author, co-author :
Troestler, Christophe ; Université de Mons > Faculté des Sciences > Service d'Analyse numérique
Tacheny, Nicolas
Language :
English
Title :
A mountain pass algorithm with projector
Publication date :
07 January 2012
Journal title :
Journal of Computational and Applied Mathematics
ISSN :
0377-0427
Publisher :
Elsevier, Netherlands
Volume :
236
Issue :
7
Pages :
2025-2036
Peer reviewed :
Peer Reviewed verified by ORBi
Research unit :
S835 - Analyse numérique
Research institute :
R150 - Institut de Recherche sur les Systèmes Complexes
