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A dynamics approach to the computation of eigenvectors of matrices

Jiménez , S. and Vázquez Martínez, Luis (2005) A dynamics approach to the computation of eigenvectors of matrices. Journal of Computational Mathematics, 23 (6). pp. 657-672. ISSN 0254-9409

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Abstract

We construct a family of dynamical systems whose evolution converges to the eigenvectors of a general square matrix, not necessarily symmetric. We analyze the convergence of those systems and perform numerical tests. Some examples and
comparisons with the power methods are presented.


Item Type:Article
Uncontrolled Keywords:Critical points; Smallest real eigenvalue; Iterative method; Dynamical systems; Numerical examples
Subjects:Sciences > Mathematics > Differential equations
ID Code:12806
Deposited On:01 Jun 2011 11:22
Last Modified:06 Feb 2014 09:33

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