Let (S_n) be a sequence converging to S and such that Vn, S_n - S = a_n g_n. The aim of this paper is to show how to construct extrapolation methods for accelerating the convergence of (S_n). Two cases are considered: (i) (a_n) unknown and (g_n) known, and (ii) (a_n) and (g_n) unknown. The first case covers the important particular cases S_n - S = O( g_n) or o( g,). The iterated application of the processes is also studied. All the results are illustrated by numerical examples.

Construction of extrapolation processes

REDIVO ZAGLIA, MICHELA
1991

Abstract

Let (S_n) be a sequence converging to S and such that Vn, S_n - S = a_n g_n. The aim of this paper is to show how to construct extrapolation methods for accelerating the convergence of (S_n). Two cases are considered: (i) (a_n) unknown and (g_n) known, and (ii) (a_n) and (g_n) unknown. The first case covers the important particular cases S_n - S = O( g_n) or o( g,). The iterated application of the processes is also studied. All the results are illustrated by numerical examples.
File in questo prodotto:
File Dimensione Formato  
10.1016-0168-9274(91)90095-H.pdf

accesso aperto

Tipologia: Published (publisher's version)
Licenza: Accesso gratuito
Dimensione 802.77 kB
Formato Adobe PDF
802.77 kB Adobe PDF Visualizza/Apri
Pubblicazioni consigliate

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2494828
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 9
  • ???jsp.display-item.citation.isi??? 10
  • OpenAlex ND
social impact