Some results of convergence acceleration for a general ϑ-type algorithm

✍ Scribed by A. Fdil

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 876 KB
• Volume: 23
• Category: Article
• ISSN: 0168-9274
• DOI: 10.1016/s0168-9274(96)00056-6

✦ Synopsis

In this paper, we propose a general O-type algorithm for accelerating the convergence of sequences. It generalizes some known sequence transformations such as the O-algorithm, the iterated O2, the iterated A 2, and the T-algorithm. Some general convergence acceleration results are given. Some results of practical importance in applications are obtained. Theoretical results are illustrated by numerical examples. ©1997 Elsevier Science B.V.