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A Numerical Method for Accelerating the Convergence of the Power Method

Ekhlass S. Al-Rawi · University of Mosul, College of Education for Pure Science · 2009

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Author / responsible party
Ekhlass S. Al-Rawi
Publisher
University of Mosul, College of Education for Pure Science
Year
2009
ISSN
1812-125X
ISSN
1812-125X
Language
English
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ABSTRACT<br /> This paper describes a procedure which combines between the Wilkinson and Aitken methods in order to obtain a best approximation of the greatest eigenvalue. Both the symmetric and the nonsymmetric matrices are solved. It shows that our suggested method converges quickly and it is quit insensitive to the properties of the matrices used. A comparison between these approximations for five numerical examples is given, depending on the number of iterations and running computer time. Experimental results indicate that the new numerical procedure is more efficient than Power, Wilkinson and Aitken methods.

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APA 7

Al-Rawi, E. S. (2009). A Numerical Method for Accelerating the Convergence of the Power Method. https://doi.org/10.33899/edusj.2009.57705

MLA

Al-Rawi, Ekhlass S. "A Numerical Method for Accelerating the Convergence of the Power Method." 2009. https://doi.org/10.33899/edusj.2009.57705.

Chicago

Al-Rawi, Ekhlass S. 2009. "A Numerical Method for Accelerating the Convergence of the Power Method.". https://doi.org/10.33899/edusj.2009.57705.

Harvard

Al-Rawi, E. S. 2009, A Numerical Method for Accelerating the Convergence of the Power Method, University of Mosul, College of Education for Pure Science, available at: https://doi.org/10.33899/edusj.2009.57705 [Accessed 8 Aug. 2026].

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Title
A Numerical Method for Accelerating the Convergence of the Power Method
Author / contributors
Ekhlass S. Al-Rawi
Publisher
University of Mosul, College of Education for Pure Science
Publication year
2009
ISSN
1812-125X
ISSN
1812-125X
Language
English

Subjects

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numerical method; accelerate the convergence; the power method
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