A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations

DOI10.1007/s10898-022-01189-1zbMath1505.65203OpenAlexW4282002720MaRDI QIDQ2089889

William La Cruz

Publication date: 24 October 2022

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-022-01189-1

zbMATH Keywords

systems of nonlinear equationsgenetic algorithmfitness functionresidual approach

Mathematics Subject Classification ID

Evolutionary algorithms, genetic algorithms (computational aspects) (68W50) Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Numerical computation of solutions to systems of equations (65H10)

Uses Software

• Genocop
• minpack
• pymoo

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finding roots of nonlinear equations using the method of concave support functions
• Solving nonlinear equations system via an efficient genetic algorithm with symmetric and harmonious individuals
• Optimal scaling of a gradient method for distributed resource allocation
• On the closed form solution of Troesch's problem
• Handbook of test problems in local and global optimization
• Safe starting regions by fixed points and tightening
• A formal analysis of the role of multi-point crossover in genetic algorithms
• The mathematics of internet congestion control
• Global optimization with non-convex constraints. Sequential and parallel algorithms
• A spectral algorithm for large-scale systems of nonlinear monotone equations
• A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems
• Optimization and applications. 12th international conference, OPTIMA 2021, Petrovac, Montenegro, September 27 -- October 1, 2021. Proceedings
• A three-terms Polak-Ribière-Polyak conjugate gradient algorithm for large-scale nonlinear equations
• Applying genetic algorithms for solving nonlinear algebraic equations
• A novel population initialization method for accelerating evolutionary algorithms
• R-linear convergence of the Barzilai and Borwein gradient method
• Design and Stability of Load-Side Primary Frequency Control in Power Systems
• A globally convergent BFGS method for nonlinear monotone equations without any merit functions
• The Barzilai and Borwein Gradient Method for the Large Scale Unconstrained Minimization Problem
• Practical Optimization
• Solving Polynomial Systems Using Continuation for Engineering and Scientific Problems
• Two-Point Step Size Gradient Methods
• Testing Unconstrained Optimization Software
• Algorithms Supplement
• Comparing Algorithms for Solving Sparse Nonlinear Systems of Equations
• An Efficient Implementation of Merrill’s Method for Sparse or Partially Separable Systems of Nonlinear Equations
• Efficient Numerical Validation of Solutions of Nonlinear Systems
• Solving Polynomial Systems Using a Branch and Prune Approach
• Introduction to Stochastic Search and Optimization
• A nonmonotone hybrid method for nonlinear systems^∗
• Nonmonotone Spectral Methods for Large-Scale Nonlinear Systems
• Novel Solution of Nonlinear Equations Using Genetic Algorithm
• Iterative Solution of Nonlinear Equations in Several Variables
• On the Barzilai and Borwein choice of steplength for the gradient method
• A Modern Introduction to Probability and Statistics
• Spectral residual method without gradient information for solving large-scale nonlinear systems of equations
• Benchmarking optimization software with performance profiles.

This page was built for publication: A genetic algorithm with a self-reproduction operator to solve systems of nonlinear equations