Results 231 to 240 of about 34,982 (255)

Auxiliary problem principle extended to variational inequalities

Journal of Optimization Theory and Applications, 1988
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.
openaire   +2 more sources

Auxiliary Variables in Statistical Mechanics: Variational Principle

Journal of Mathematical Physics, 1968
The variational principle of Bohm and Pines for the ground-state energy of the electron gas with uniform neutralizing positive-charge background, employing auxiliary variables, is reviewed as an illustration of the past use of auxiliary variables and as an example of the type of physical system to which the variational principle of this paper can be ...
openaire   +1 more source

Auxiliary problem principle and decomposition of optimization problems

Journal of Optimization Theory and Applications, 1980
The auxiliary problem principle allows one to find the solution of a problem (minimization problem, saddle-point problem, etc.) by solving a sequence of auxiliary problems. There is a wide range of possible choices for these problems, so that one can give special features to them in order to make them easier to solve.
openaire   +1 more source

Coupling the Auxiliary Problem Principle and Epiconvergence Theory to Solve General Variational Inequalities

Journal of Optimization Theory and Applications, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Salmon, Genevieve, Nguyen, Van Hien, Strodiot, Jean-Jacques   +2 more
openaire   +3 more sources

Regularized Nonconvex Mixed Variational Inequalities: Auxiliary Principle Technique and Iterative Methods

Journal of Optimization Theory and Applications, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Combining the Auxilliary Problem Principle with Approximation Methods

1997
The paper deals with iterative schemes for finding a zero of a maximal monotone operator. A combination of the auxiliary principle with the Tikhonov method is considered. Under some assumptions the sequence generated by such an iterative scheme is shown to converge to a solution of the problem that is required to satisfy an associated variational ...
Moudafi, Abdellatif, Théra, Michel
openaire   +2 more sources

Maximal-Decoupling Variational Principle and Optimal Auxiliary Hamiltonians for Nuclear Collective Motions

International Journal of Modern Physics E, 1993
A variational principle of maximal decoupling between the collective and noncollective subspaces has recently been proposed to pin down the collective degrees of freedom of the nuclear many-body problem. This maximal-decoupling variational principle is further utilized here to determine in an optimal way the auxiliary Hamiltonians to be used in ...
openaire   +1 more source

Auxiliary Principle Technique for Variational Inequalities

Applied Mathematics & Information Sciences, 2017
Muhammad Noor, Khalida Noor
openaire   +1 more source

Auxiliary Principles

2014
openaire   +2 more sources

Decentralized Voltage Optimization Based on the Auxiliary Problem Principle in Distribution Networks with DERs

Applied Sciences (Switzerland), 2021
Anna Rita Di Fazio, Chiara Risi, Mario Russo   +2 more
exaly