Improved iteration schemes for validation algorithms for dense and sparse nonlinear systems

Publikationstyp
Journal Article
Date Issued
1996-03
Sprache
English
Author(s)
Rump, Siegfried M.  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-URI
http://hdl.handle.net/11420/9475
Journal
Computing  
Volume
57
Issue
1
Start Page
77
End Page
84
Citation
Computing (Vienna/New York) 57 (1): 77-84 (1996)
Publisher DOI
10.1007/BF02238359
Scopus ID
2-s2.0-0029695223
Publisher
Springer
An iteration process for computing validated solutions of nonlinear systems is improved for the dense case and for the sparse case. The improvement may result in the reduction of the number of Jacobian or slope matrices to be computed. Possibly, without the improvement, no inclusion can be computed at all.
Subjects
Interval arithmetic
Validated computations
ε-inflation
DDC Class
004: Informatik
510: Mathematik