Interval mathematics, algebraic equations and optimization
type: Item
instance of: scholarly article
title: Interval mathematics, algebraic equations and optimization
zbMATH Open document ID: 0994.65052
DOI: 10.1016/S0377-0427(00)00421-0
published in: Journal of Computational and Applied Mathematics
publication date: 2001-01-25T00:00:00Z
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C30
zbMATH DE Number: 1556993
zbMATH Keywords: linear algebraic equations
zbMATH Keywords: unconstrained nonlinear optimization
zbMATH Keywords: interval mathematics
zbMATH Keywords: systems
zbMATH Keywords: nonlinear algebraic equations
zbMATH Keywords: constrained nonlinear optimization
author: Michael A. Wolfe
cites work: alphaBB
cites work: Q4321533
cites work: The basic properties of interval arithmetic, its software realizations and some applications
cites work: Efficient Numerical Validation of Solutions of Nonlinear Systems
cites work: Q3345690
cites work: Q4874514
cites work: Foundations of optimization
cites work: Q4061081
cites work: A collection of test problems for constrained global optimization algorithms
cites work: Efficient methods for enclosing solutions of systems of nonlinear equations
cites work: On the R-Order of Newton-Like Methods for Enclosing Solutions of Nonlinear Equations
cites work: Q4284584
cites work: Q4277813
cites work: Bounding the Solution of Interval Linear Equations
cites work: Q4004279
cites work: Bounds for Lagrange multipliers and optimal points
cites work: Nonlinear equations and optimization
cites work: A branch-and-bound algorithm for bound constrained optimization problems without derivatives
cites work: Decompostition of arithmetic expressions to improve the behavior of interval iteration for nonlinear systems
cites work: Rigorous global search: continuous problems
cites work: Applications of interval computations. Proceedings of an international workshop, El Paso, TX, USA, February 23-25, 1995
cites work: A new method for global solution of systems of nonlinear equations
cites work: Linear interval equations: Computing enclosures with bounded relative or absolute overestimation is NP-hard
cites work: Q4851401
cites work: Some remarks on two interval-arithmetic modifications of the Newton method
cites work: Q4885358
cites work: Epsilon-inflation in verification algorithms
cites work: On the applicability of the interval Gaussian algorithm
cites work: A Simple Test for Accuracy of Approximate Solutions to Nonlinear (or Linear) Systems
cites work: Derived eigenvalues of symmetric matrices, with applications to distance geometry
cites work: A Comparison of some Methods for Solving Linear Interval Equations
cites work: Q5652137
cites work: A Convergence Test and Componentwise Error Estimates for Newton Type Methods
cites work: A Note on the Moore Test for Nonlinear Systems
cites work: Q5563748
cites work: Q4040272
cites work: Global Optimization over Unbounded Domains
cites work: Q4833815
cites work: On nonconvexity of the solution set of a system of linear interval equations
cites work: Q4851628
cites work: Enclosing solutions of overdetermined systems of linear interval equations
cites work: Q4874515
cites work: On overestimation produced by the interval Gaussian algorithm
cites work: Q4321536
cites work: Improved iteration schemes for validation algorithms for dense and sparse nonlinear systems
cites work: A note on epsilon-inflation
cites work: Algebraic approach in the ``outer problem'' for interval linear equations
cites work: An interval maximum entropy method for a discrete minimax problem
cites work: A note on Moore's interval test for zeros of nonlinear systems
cites work: Solving minimax problems by interval methods
cites work: On certain computable tests and componentwise error bounds
cites work: An interval algorithm for constrained global optimization
cites work: Interval enclosures for a certain class of multiple integrals
cites work: Interval methods for global optimization
cites work: On a second derivative test due to Qi
cites work: A note on a uniqueness theorem for the second-derivative test of Qi
cites work: On discrete minimax problems in \(\mathbb{R}\) using interval arithmetic
cites work: On bounding solutions of underdetermined systems
cites work: An interval algorithm for nondifferentiable global optimization
cites work: Error bounds for Newton's iterates derived from the Kantorovich theorem

Interval mathematics, algebraic equations and optimization (cites work)
cites work: Interval solution of nonlinear equations using linear programming

Interval mathematics, algebraic equations and optimization (cites work)
cites work: Solving underdetermined systems with interval methods

Interval mathematics, algebraic equations and optimization (describes a project that uses)
describes a project that uses: alphaBB

Interval mathematics, algebraic equations and optimization (describes a project that uses)
describes a project that uses: INTOPT_90

Interval mathematics, algebraic equations and optimization (MaRDI profile type)
MaRDI profile type: Publication

Interval mathematics, algebraic equations and optimization (full work available at URL)
full work available at URL: s0377-0427(00)00421-0

Interval mathematics, algebraic equations and optimization (OpenAlex ID)
OpenAlex ID: W2032997840

Interval mathematics, algebraic equations and optimization (Wikidata QID)
Wikidata QID: Q127186407