Proving the existence of zeros using the topological degree and interval arithmetic

DOI10.1016/j.cam.2005.07.030zbMath1129.65037OpenAlexW2049176101MaRDI QIDQ861912

F. Hoxha, Bruno Lang, Andreas Frommer

Publication date: 2 February 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.07.030

zbMATH Keywords

numerical examplestopological degreesystems of nonlinear equationsinterval computationsexistence test

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Interval and finite arithmetic (65G30) Global methods, including homotopy approaches to the numerical solution of nonlinear equations (65H20)

Related Items (3)

Robust feasibility of systems of quadratic equations using topological degree theory ⋮ A framework for existence tests based on the topological degree and homotopy ⋮ The use of interval arithmetic in solving a non-linear rational expectation based multiperiod output-inflation process model: the case of the IN/GB method

Uses Software

• INTLAB

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Derived eigenvalues of symmetric matrices, with applications to distance geometry
• A comparison of the Moore and Miranda existence tests
• On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda
• On Preconditioners for the Borsuk Existence Test
• A Simple Test for Accuracy of Approximate Solutions to Nonlinear (or Linear) Systems
• Bounding the Solution of Interval Linear Equations
• A Test for Existence of Solutions to Nonlinear Systems
• Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem

This page was built for publication: Proving the existence of zeros using the topological degree and interval arithmetic