HAL: hal-00339377, version 1

arXiv: 0811.2984

Detailed view

Export this paper BibTeX - EndNote - TEI - RefWorks -

Sensitivity Analysis Using a Fixed Point Interval Iteration

Alexandre Goldsztejn 1

(2008-11-17)

Proving the existence of a solution to a system of real equations is a central issue in numerical analysis. In many situations, the system of equations depend on parameters which are not exactly known. It is then natural to aim proving the existence of a solution for all values of these parameters in some given domains. This is the aim of the parametrization of existence tests. A new parametric existence test based on the Hansen-Sengupta operator is presented and compared to a similar one based on the Krawczyk operator. It is used as a basis of a fixed point iteration dedicated to rigorous sensibility analysis of parametric systems of equations.

1:	Laboratoire d'Informatique de Nantes Atlantique (LINA)
	CNRS : UMR6241 – Université de Nantes – Ecole des Mines de Nantes

Subject

:

Computer Science/Numerical Analysis

Keyword(s): Interval analysis – Sensitivity analysis

hal-00339377, version 1

http://hal.archives-ouvertes.fr/hal-00339377

oai:hal.archives-ouvertes.fr:hal-00339377

From: Alexandre Goldsztejn <>

Submitted on: Monday, 17 November 2008 17:52:37

Updated on: Tuesday, 18 November 2008 21:27:43