• bounding perturbations in zero...

Treffer: bounding perturbations in zeros of nonlinear systems: Bounding perturbations in zeros of nonlinear systems

Title:
bounding perturbations in zeros of nonlinear systems: Bounding perturbations in zeros of nonlinear systems
Authors:
Michael A. Wolfe
Source:
Reliable Computing. 8(3):177-188
Publisher Information:
Springer, Dordrecht, 2002.
Publication Year:
2002
Subject Terms:
zeros of nonlinear systems, numerical examples, Numerical computation of solutions to systems of equations, nonlinear equations, interval arithmetic
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
1385-3139
DOI:
10.1023/a:1015559628657
Access URL:
https://link.springer.com/article/10.1023%2FA%3A1015559628657
https://dblp.uni-trier.de/db/journals/rc/rc8.html#Wolfe02
Accession Number:
edsair.dedup.wf.002..d49d7f81fc05af7ef62b17dfea96ce37
Database:
OpenAIRE

Weitere Informationen

The work is devoted to determines computationally rigorous bounds on solutions \(x\in \mathbb{R}^n\) of nonlinear equations \(F(x,t) =0\in \mathbb{R}^m\), \(m\leq n\), due to small perturbations in the parameter \(t\in \mathbb{R}^l\). Conditions for existence and uniqueness of solutions are given. The obtained algorithms are illustrated by several numerical examples.