Results 41 to 50 of about 49,792,933 (254)

Linearized ADMM for Nonconvex Nonsmooth Optimization With Convergence Analysis [PDF]

IEEE Access, 2017
Linearized alternating direction method of multipliers (ADMM) as an extension of ADMM has been widely used to solve linearly constrained problems in signal processing, machine learning, communications, and many other fields.
Qinghua Liu, Xinyue Shen, Yuan-Tao Gu
semanticscholar   +1 more source

Decentralized Primal-Dual Proximal Operator Algorithm for Constrained Nonsmooth Composite Optimization Problems over Networks

Entropy, 2022
In this paper, we focus on the nonsmooth composite optimization problems over networks, which consist of a smooth term and a nonsmooth term. Both equality constraints and box constraints for the decision variables are also considered.
Liping Feng, Liang Ran, Guoyang Meng, Jialong Tang, Wentao Ding, Huaqing Li   +5 more
doaj   +1 more source

Analysis of the L1 scheme for fractional wave equations with nonsmooth data [PDF]

Computers and Mathematics with Applications, 2019
This paper analyzes the well-known L1 scheme for fractional wave equations with nonsmooth data. A new stability estimate is obtained, and the temporal accuracy $ \mathcal O(\tau^{3-\alpha}) $ is derived for the nonsmooth initial data.
Bin-Jie Li, Tao Wang, Xiao-Ping Xie
semanticscholar   +1 more source

Constant Sign and Nodal Solutions for Problems with the p-Laplacian and a Nonsmooth Potential Using Variational Techniques

Boundary Value Problems, 2009
We consider a nonlinear elliptic equation driven by the p-Laplacian with a nonsmooth potential (hemivariational inequality) and Dirichlet boundary condition.
Ravi P. Agarwal, Michael E. Filippakis, Donal O'Regan, Nikolaos S. Papageorgiou   +3 more
doaj   +1 more source

Nonsmooth PI Controller for Uncertain Systems

IEEE Access, 2020
This paper investigates the problem of nonsmooth feedback stabilization for the higher order uncertain chain of integrators. For achieving the specified goal, the integral term of classical Proportional-Integral (PI) controller is replaced by an integral
Sharat Chandra Mahto, Durgesh Kumar, Shyam Kamal, Asif Chalanga, Xiaogang Xiong, Shanhai Jin, Shyam Krishna Nagar   +6 more
doaj   +1 more source

Relations between Abs-Normal NLPs and MPCCs. Part 1: Strong Constraint Qualifications [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
This work is part of an ongoing effort of comparing non-smooth optimization problems in abs-normal form to MPCCs. We study the general abs-normal NLP with equality and inequality constraints in relation to an equivalent MPCC reformulation.
Lisa C. Hegerhorst-Schultchen, Christian Kirches, Marc C. Steinbach   +2 more
doaj   +1 more source

High-Order Multivariate Spectral Algorithms for High-Dimensional Nonlinear Weakly Singular Integral Equations with Delay

Mathematics, 2022
One of the open problems in the numerical analysis of solutions to high-dimensional nonlinear integral equations with memory kernel and proportional delay is how to preserve the high-order accuracy for nonsmooth solutions.
Ahmed Z. Amin, Mahmoud A. Zaky, Ahmed S. Hendy, Ishak Hashim, Ahmed Aldraiweesh   +4 more
doaj   +1 more source

Inexact and Stochastic Generalized Conditional Gradient with Augmented Lagrangian and Proximal Step [PDF]

Journal of Nonsmooth Analysis and Optimization, 2021
In this paper we propose and analyze inexact and stochastic versions of the CGALP algorithm developed in [25], which we denote ICGALP , that allow for errors in the computation of several important quantities.
Antonio Silveti-Falls, Cesare Molinari, Jalal Fadili   +2 more
doaj   +1 more source

Melnikov analysis in nonsmooth differential systems with nonlinear switching manifold [PDF]

Journal of Differential Equations, 2018
We study the family of piecewise linear differential systems in the plane with two pieces separated by a cubic curve. Our main result is that 7 is a lower bound for the Hilbert number of this family.
Jefferson L. R. Bastos, C. Buzzi, J. Llibre, D. Novaes   +3 more
semanticscholar   +1 more source

Sensor-based motion planning via nonsmooth analysis [PDF]

, 2016
In this thesis we present a novel approach to sensor-based motion planning developed using the mathematical tools provided by the field of nonsmooth analysis.

core   +1 more source