Results 21 to 30 of about 230 (37)

Convergence rate analysis of primal-dual splitting schemes

, 2015
Primal-dual splitting schemes are a class of powerful algorithms that solve complicated monotone inclusions and convex optimization problems that are built from many simpler pieces.
Davis, Damek
core   +1 more source

An inertial shrinking projection self-adaptive algorithm for solving split variational inclusion problems and fixed point problems in Banach spaces

Demonstratio Mathematica
In this article, we study the split variational inclusion and fixed point problems using Bregman weak relatively nonexpansive mappings in the pp-uniformly convex smooth Banach spaces.
Ngwepe Matlhatsi Dorah, Jolaoso Lateef Olakunle, Aphane Maggie, Adiele Ugochukwu Oliver   +3 more
doaj   +1 more source

A Generalized Direction in Interior Point Method for Monotone Linear Complementarity Problems

, 2018
International audienceIn this paper, we present a new interior point method with full Newton step for monotone linear complementarity problems. The specificity of our method is to compute the Newton step using a modified system similar to that introduced
Haddou, Mounir, Migot, Tangi, Omer, Jérémy   +2 more
core   +1 more source

Regular Sequences of Quasi-Nonexpansive Operators and Their Applications

, 2018
In this paper we present a systematic study of regular sequences of quasi-nonexpansive operators in Hilbert space. We are interested, in particular, in weakly, boundedly and linearly regular sequences of operators. We show that the type of the regularity
Cegielski, Andrzej, Reich, Simeon, Zalas, Rafał   +2 more
core   +1 more source

A Multigrid Optimization Algorithm for the Numerical Solution of Quasilinear Variational Inequalities Involving the $p$-Laplacian

, 2017
In this paper we propose a multigrid optimization algorithm (MG/OPT) for the numerical solution of a class of quasilinear variational inequalities of the second kind. This approach is enabled by the fact that the solution of the variational inequality is
González-Andrade, Sergio, López, Sofía   +1 more
core   +1 more source

Adversarial flows: A gradient flow characterization of adversarial attacks

European Journal of Applied Mathematics
A popular method to perform adversarial attacks on neural networks is the so-called fast gradient sign method and its iterative variant. In this paper, we interpret this method as an explicit Euler discretization of a differential inclusion, where we ...
Lukas Weigand, Tim Roith, Martin Burger
doaj   +1 more source

Regularization method and a posteriori error estimates for the two membranes problem

Open Mathematics
This study presents a regularization method for the two membranes problem with non-homogeneous boundary conditions. We establish both convergence results and a priori estimates for this method.
Bouchlaghem Mohammed, Mermri El Bekkaye, Mellah Zhor   +2 more
doaj   +1 more source

A Sequential Homotopy Method for Mathematical Programming Problems

, 2019
We propose a sequential homotopy method for the solution of mathematical programming problems formulated in abstract Hilbert spaces under the Guignard constraint qualification.
Bock, Hans Georg, Potschka, Andreas
core  

A Simplified Convex Optimization Model for Image Restoration with Multiplicative Noise. [PDF]

J Imaging, 2023
Che H, Tang Y.
europepmc   +1 more source

A Duality Approach to Error Estimation for Variational Inequalities

, 2014
Motivated by problems in contact mechanics, we propose a duality approach for computing approximations and associated a posteriori error bounds to solutions of variational inequalities of the first kind.
Bader, Eduard, Veroy, Karen, Zhang, Zhenying   +2 more
core