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:
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