Inclusion of zeros of nowhere differentiable n-dimensional functions

Publikationstyp
Journal Article
Publikationsdatum
1997-02
Sprache
English
Author
Rump, Siegfried M. orcid-logo
Institut
Zuverlässiges Rechnen E-19 
TORE-URI
http://hdl.handle.net/11420/9394
Enthalten in
Reliable Computing 
Volume
3
Issue
1
Start Page
5
End Page
16
Citation
Reliable Computing 3 (1): 5-16 (1997-02)
Publisher DOI
10.1023/A:1009967901122
Scopus ID
2-s2.0-0003159621
Publisher
Kluwer
A method is described for calculating verified error bounds for zeros of a system of nonlinear equations f(x) = 0 with continuous f : ℝ → ℝ . We do not require existence of partial derivatives of f, and the function f may even be known only up to some finite precision ε > 0. An inclusion may contain infinitely many zeros of f. An example of a continuous but nowhere differentiable function is given. n n
DDC Class
004: Informatik
510: Mathematik