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Abstract: We state some widely satisfied hypotheses, depending only on two functions g and h, under which the composition of a forward stable algorithm for and a forward stable algorithm for h is a forward stable algorithm for the composition g o h. We show that the failure of these conditions can potentially lead to unstable algorithms. Finally, we list a number of examples to illustrate the new concepts and the usability of the results.
Fuente: IMA Journal of Numerical Analysis, 2024, 44(2), 886 - 919
Editorial: Oxford University Press
Fecha de publicación: 01/03/2024
Nº de páginas: 33
Tipo de publicación: Artículo de Revista
DOI: 10.1093/imanum/drad026https://doi.org/10.1093/imanum/drad026
ISSN: 0272-4979,1464-3642
Url de la publicación: https://doi.org/10.1093/imanum/drad026
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CARLOS BELTRAN ALVAREZ
NOFERINI, VANNI
VANNIEUWENHOVEN, NICK
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