A new Aitken type method for accelerating iterative sequences

Bumbariu, Oana

doi:10.1016/j.amc.2012.06.009

A new Aitken type method for accelerating iterative sequences

2012-09-01

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Bumbariu, Oana *

DOI：10.1016/j.amc.2012.06.009

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In this paper we present an improved acceleration method for solving nonlinear equations. The new acceleration technique was inspired by one derivation of Aitken's Delta(2) process. Some numerical examples are given to illustrate the abilities of the new proposed acceleration technique. (c) 2012 Elsevier Inc. All rights reserved.

Keyword:

Fixed point

Picard iterations

Aitken's Delta(2) process

Order of convergence

A new Aitken type method for accelerating iterative sequences

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