Finding all solutions of nonlinearly constrained systems of equations
type: Item
instance of: scholarly article
title: Finding all solutions of nonlinearly constrained systems of equations
zbMATH Open document ID: 0841.90115
DOI: 10.1007/BF01097059
author: Costas D. Maranas
author: Christodoulos A. Floudas
published in: Journal of Global Optimization
publication date: 1996-07-24T00:00:00Z
Mathematics Subject Classification ID: 90C30
Mathematics Subject Classification ID: 65H10
zbMATH DE Number: 829908
zbMATH Keywords: global optimization
zbMATH Keywords: all solutions
zbMATH Keywords: \(\varepsilon\)-feasible solutions
zbMATH Keywords: nonlinearly constrained systems of equations
zbMATH Keywords: slack variables
describes a project that uses: INTLIB
describes a project that uses: AUTO-86
describes a project that uses: GAMS
describes a project that uses: MINOS
describes a project that uses: Bunlsi
describes a project that uses: Bonmin
describes a project that uses: INTBIS
MaRDI profile type: Publication
cites work: Introduction to global optimization
cites work: Handbook of global optimization
cites work: Jointly Constrained Biconvex Programming
cites work: \(\alpha BB\): A global optimization method for general constrained nonconvex problems
cites work: The Use of Linear Programming for the Solution of Sparse Sets of Nonlinear Equations
cites work: Q3657778
cites work: Q4004279
cites work: Global optimization of univariate Lipschitz functions. I: Survey and properties
cites work: Q3997222
cites work: Algorithm 737: INTLIB—a portable Fortran 77 interval standard-function library
cites work: Algorithm 681: INTBIS, a portable interval Newton/bisection package
cites work: Q3688092
cites work: Global optimization for molecular conformation problems
cites work: Global minimum potential energy conformations of small molecules
cites work: Q4311915
cites work: Chemical equilibrium systems as numerical test problems
cites work: Q4000024
cites work: Interval Methods for Systems of Equations
cites work: Q5657604
cites work: Experiments using interval analysis for solving a circuit design problem
cites work: Algorithm 652
full work available at URL: https://doi.org/10.1007/bf01097059
OpenAlex ID: W2046526480
Recommended article: Solving nonlinear systems of equations with simple constraints
Recommended article: Finding all solutions of systems of nonlinear equations using the dual simplex method
Recommended article: Finding sets of solutions to systems of nonlinear inequalities
Recommended article: An algorithm for finding all solutions of a nonlinear system
Recommended article: Finding all solutions of nonlinear equations using linear combinations of functions
Recommended article: Finding all solutions of nonlinear equations using the dual simplex method
Recommended article: Q4520738
Recommended article: Finding more and more solutions of a system of nonlinear equations
Recommended article: Q3028215
Recommended article: An efficient algorithm for finding all solutions of separable systems of nonlinear equations
description: scientific article; zbMATH DE number 829908