QUASI-LINEAR VECTOR EXTRAPOLATION METHODS

被引：7

作者：

SADOK, H

机构：

[1] Laboratoire d'Analyse Numérique, d'Optimisation UFR IEEA-M3 Université des Sciences et Technologies de Lille

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 1993年 / 190卷

关键词：

D O I：

10.1016/0024-3795(93)90220-I

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

we show that almost all vector extrapolation methods possess the property of quasilinearity (that is, translativity and homogeneity). We give a necessary and sufficient condition for the property of translativity. This condition is applied to some vector extrapolation methods, in particular the H-algorithm, the E-algorithm, and certain polynomial extrapolation methods. An application of this condition to convergence acceleration is also given and applied to Henrici's transformation and to the vector generalization of the E-algorithm given by Wimp.

引用

页码：71 / 85

页数：15

共 22 条

[1]

BENCHIBOUN MD, 1987, THESIS U LILLE 1

[2] OTHER MANIFESTATIONS OF THE SCHUR COMPLEMENT [J].