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  4. Solving nonlinear systems with least significant bit accuracy
 
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Solving nonlinear systems with least significant bit accuracy

Citation Link: https://doi.org/10.15480/882.305
Publikationstyp
Journal Article
Date Issued
1982
Sprache
English
Author(s)
Rump, Siegfried M.  orcid-logo
Institut
Zuverlässiges Rechnen E-19  
TORE-DOI
10.15480/882.305
TORE-URI
http://tubdok.tub.tuhh.de/handle/11420/307
Citation
Computing 29 (1982), 183-200
We give an algorithm for constructing an inclusion of the solution of a system of nonlinear equations. In contrast to existing methods, the algorithm does not require properties which are difficult to verify such as the non-singularity of a matrix. In fact this latter property is demonstrated by the algorithm itself. The highly accurate computational results are obtained in terms of a residue of first or higher order of the system.
Subjects
Automatic verification, existence, uniqueness, inclusion, rounding error
Lizenz
http://doku.b.tu-harburg.de/doku/lic_ohne_pod.php
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