On the Aitken's δ^2-process

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概要

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• This paper is concerned with the Aitken'sδ^2-process and similar process. The Aiken's δ^2-process is not always successful for the sequence converging linearly. We develop the general theory of the Aitken's δ^2-process , and we derive process even when the Aitken's δ^2-process fails. As an example of these processes, we consider an application to finding the absolutely largest eigenvalue by the power method. Some test matrices and its results are given.

• 一般社団法人情報処理学会の論文

著者

• Iguchi Ken

  Toyota College Of Technology

• Iguchi Ken

  Toyota Technical College

関連論文

• Convergence Property of Aitken's Δ^2-Process and the Applicable Acceleration Process
• Acceleration Process for a Positive Definite Iterative Matrix
• An Algorithm of an Acceleration Process Covering the Aitken's δ^2-process
• An Acceleration Process for Iterated Vectors Generated by a Real Symmetric Matrix
• On the Aitken's δ^2-process

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