Survey of methods for solving systems of nonlinear equations, part II: Optimization based approaches

IS Kotsireas, PM Pardalos, A Semenov… - arXiv preprint arXiv …, 2022 - arxiv.org
This paper presents a comprehensive survey of methods which can be utilized to search for
solutions to systems of nonlinear equations (SNEs). Our objectives with this survey are to …

[HTML][HTML] A modified firefly-inspired algorithm for global computational optimization

I Amaya, J Cruz, R Correa - Dyna, 2014 - scielo.org.co
This article compares the original firefly-Inspired algorithm (FA) against two versions
suggested by the authors. It was found that by using some modifications proposed in this …

[HTML][HTML] Solution of the mathematical model of a nonlinear direct current circuit using particle swarm optimization

I Amaya, J Cruz, R Correa - Dyna, 2012 - scielo.org.co
This article describes a numeric strategy focused on the solution of nonlinear systems of
equations, frequently found in the analysis of electronic circuits. This strategy is based on the …

Solution of nonlinear circuits with the central force optimization algorithm

O Roa, I Amaya, F Ramírez… - 2012 IEEE 4th Colombian …, 2012 - ieeexplore.ieee.org
This manuscript presents the results achieved after using the Central Force Optimization
(CFO) algorithm, proposed by Formato on 2007, for solving a system of nonlinear equations …

Overview and computational analysis of PSO variants for solving systems of nonlinear equations

S Ribeiro, LG Lopes - … and Intelligent Systems: Proceedings of ICCIS 2021, 2022 - Springer
The problem of solving systems of nonlinear equations is one of great difficulty, especially as
the scale of these systems grow. Traditional numerical methods rely on selecting good initial …

MRF–PSO: MultiRoot Finding Particle Swarm Optimization Algorithm for Nonlinear Functions

DN Freitas, LG Lopes, F Morgado-Dias - Artificial Intelligence and …, 2022 - Springer
Finding approximations to the zeros or roots of nonlinear functions is a task that is often
required in various applications in different fields of science and engineering. Although there …

[图书][B] Multivariable optimization of liquid rocket engines using particle swarm algorithms

DR Jones - 2013 - search.proquest.com
Liquid rocket engines are highly reliable, controllable, and efficient compared to other
conventional forms of rocket propulsion. As such, they have seen wide use in the space …

[HTML][HTML] Discrete particle swarm optimization in the numerical solution of a system of linear diophantine equations

I Amaya, L Gómez, R Correa - Dyna, 2014 - scielo.org.co
This article proposes the use of a discrete version of the well known Particle Swarm
Optimization, DPSO, a metaheuristic optimization algorithm for numerically solving a system …

Multiple solution algorithm with applications to robot kinematics

GM Platt, FD Moura Neto, RP Domingos… - Journal of the Brazilian …, 2017 - Springer
In this work, we present a new framework devoted to the numerical solution of nonlinear
algebraic systems. The algorithm is composed by a symbiotic organisms search and a …

Solution of the mathematical model of a DC nonlinear electronic circuit using an optimization strategy: Application of the original and unified Particle Swarm …

J Cruz, I Amaya, R Correa - 2012 IEEE 4th Colombian …, 2012 - ieeexplore.ieee.org
This article proposes an alternative solution to the mathematical model of nonlinear DC
electronic circuits, using an optimization algorithm. In this case, the original Particle Swarm …