Proximal algorithms

N Parikh, S Boyd - Foundations and trends® in Optimization, 2014 - nowpublishers.com
This monograph is about a class of optimization algorithms called proximal algorithms. Much
like Newton's method is a standard tool for solving unconstrained smooth optimization …

Computationally efficient fixed switching frequency direct model predictive control

Q Yang, P Karamanakos, W Tian, X Gao… - … on Power Electronics, 2021 - ieeexplore.ieee.org
This article presents a direct model predictive control (MPC) method for drive systems with
superior steady-state and dynamic performance. Specifically, the discussed MPC algorithm …

Resource-efficient gradient methods for model predictive pulse pattern control on an FPGA

S Richter, T Geyer, M Morari - IEEE Transactions on control …, 2016 - ieeexplore.ieee.org
We demonstrate that an optimization-based model predictive pulse pattern controller can be
designed with a complexity in terms of hardware resource usage on a field-programmable …

Generalized model predictive pulse pattern control based on small-signal modeling—Part 2: Implementation and analysis

T Dorfling, H du Toit Mouton… - IEEE Transactions on …, 2022 - ieeexplore.ieee.org
A newly proposed model predictive pulse pattern controller, which is applicable to higher-
order converter systems, is implemented on a low-cost field-programmable gate array. It is …

Unimodality-constrained matrix factorization for non-parametric source localization

J Chen, U Mitra - IEEE Transactions on Signal Processing, 2019 - ieeexplore.ieee.org
In this paper, the problem of simultaneous localization of multiple sources given a number of
energy samples at different locations is examined. The strategies do not require knowledge …

Finding solutions of implicit complementarity problems by isotonicity of the metric projection

M Abbas, SZ Németh - Nonlinear Analysis: Theory, Methods & Applications, 2012 - Elsevier
Isac and Németh [G. Isac and AB Németh, Projection method, isotone projection cones and
the complementarity problem, J. Math. Anal. App., 153, 258-275 (1990)] proved that solving …

The distance between convex sets with Minkowski sum structure: application to collision detection

X Wang, J Zhang, W Zhang - Computational Optimization and Applications, 2020 - Springer
The distance between sets is a long-standing computational geometry problem. In robotics,
the distance between convex sets with Minkowski sum structure plays a fundamental role in …

[HTML][HTML] Lattice-like operations and isotone projection sets

AB Németh, SZ Németh - Linear Algebra and its Applications, 2013 - Elsevier
By using some lattice-like operations which constitute extensions of ones introduced by MS
Gowda, R. Sznajder and J. Tao for self-dual cones, a new perspective is gained on the …

Isotonicity of the metric projection by Lorentz cone and variational inequalities

D Kong, L Liu, Y Wu - Journal of Optimization Theory and Applications, 2017 - Springer
In this paper, we first discuss the geometric properties of the Lorentz cone and the extended
Lorentz cone. The self-duality and orthogonality of the Lorentz cone are obtained in Hilbert …

Projection onto simplicial cones by a semi-smooth Newton method

OP Ferreira, SZ Németh - Optimization Letters, 2015 - Springer
In this paper the problem of projection onto a simplicial cone is studied. By using Moreau's
decomposition theorem for projecting onto closed convex cones, the problem of projecting …