Aumento de la velocidad de convergencia del sistema de Rachford-Rice

The Regula-Falsi method to solve the equation f (x) = 0 is very adecuate when in the two first iterates x0 and x1, f (x) have opposite signs. Howewer, in some cases, the convergence of this method can be very slow, specially when i) the images through f of the extreme points of the search interval d...

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Detalles Bibliográficos
Autores principales: Iglesias, Omar A., Petryla, Estanislao J.
Formato: Articulo
Lenguaje:Español
Publicado: 2009
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/106037
https://www.fceqyn.unam.edu.ar/recyt/index.php/recyt/article/view/613
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Sumario:The Regula-Falsi method to solve the equation f (x) = 0 is very adecuate when in the two first iterates x0 and x1, f (x) have opposite signs. Howewer, in some cases, the convergence of this method can be very slow, specially when i) the images through f of the extreme points of the search interval differ, at least, in one order of magnitude; ii) in the zone where f (x) is smaller, f (x) ≈ 0 and iii) the root of f (x) is approximately in the mean of the search interval. For this cases, in this paper we propose a convergence accelerator function, wich is then used to calculate a adiabatic flash, where are present the characterisitcs of f mentioned above.