Auxiliary problem principle extended to variational inequalities
Copyright policy )Auxiliary problem principle extended to variational inequalities
The auxiliary problem principle has been proposed by the author as a framework to describe and analyze iterative optimization algorithms such as gradient or subgradient as well as decomposition/coordination algorithms. In this paper, we extend this approach to the computation of solutions to variational inequalities. In the case of single-valued operators, this may as well be considered as an extension of ideas already found in the literature to the case of nonlinear (but still strongly monotone) operators. The case of multivalued operators is also investigated.
Numerical optimization and variational techniques, Numerical methods based on nonlinear programming, Nonlinear programming, auxiliary problem principle, decomposition/coordination, monotony, variational inequalities
Numerical optimization and variational techniques, Numerical methods based on nonlinear programming, Nonlinear programming, auxiliary problem principle, decomposition/coordination, monotony, variational inequalities
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).108 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 1% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!