Proving the existence of zeros using the topological degree and interval arithmetic
type: Item
instance of: scholarly article
title: Proving the existence of zeros using the topological degree and interval arithmetic
zbMATH Open document ID: 1129.65037
author: F. Hoxha
author: Bruno Lang
author: Andreas Frommer
published in: Journal of Computational and Applied Mathematics
publication date: 2007-02-02T00:00:00Z
review text: The paper is devoted to the computationally reliable tests for existence of solutions to systems of nonlinear equations. The new existence test is more general than the familiar ones and can be applied on larger boxes, as demonstrated on numerical examples.
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65G30
Mathematics Subject Classification ID: 65H20
zbMATH DE Number: 5121437
zbMATH Keywords: existence test
zbMATH Keywords: interval computations
zbMATH Keywords: topological degree
zbMATH Keywords: systems of nonlinear equations
zbMATH Keywords: numerical examples
reviewed by: Svetoslav Markov
describes a project that uses: INTLAB
MaRDI profile type: Publication
full work available at URL: j.cam.2005.07.030
OpenAlex ID: W2049176101
cites work: Q2765609
cites work: Q5185568
cites work: Existence Tests for Solutions of Nonlinear Equations Using Borsuk's Theorem
cites work: On Preconditioners for the Borsuk Existence Test
cites work: A comparison of the Moore and Miranda existence tests
cites work: Bounding the Solution of Interval Linear Equations
cites work: A Test for Existence of Solutions to Nonlinear Systems
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: Q5652137
cites work: Q4949347
cites work: On the proofs of some statements concerning the theorems of Kantorovich, Moore, and Miranda
DOI: 10.1016/J.CAM.2005.07.030
description: scientific article; zbMATH DE number 5121437