The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All of them have in common the general concept of the response of a computational algorithm to perturbations arising either from the data or from the specific arithmetic used on computers. In this paper we shall review the two concepts by using simple examples taken from both linear algebra and numerical methods for ODEs. © 2006 European Society of Computational Methods in Sciences and Engineering.
Stability and Conditioning in Numerical Analysis
IAVERNARO, Felice;MAZZIA, Francesca;
2006-01-01
Abstract
The terms stability and conditioning are used with a variety of meanings in Numerical Analysis. All of them have in common the general concept of the response of a computational algorithm to perturbations arising either from the data or from the specific arithmetic used on computers. In this paper we shall review the two concepts by using simple examples taken from both linear algebra and numerical methods for ODEs. © 2006 European Society of Computational Methods in Sciences and Engineering.File in questo prodotto:
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