A Dynamics Approach to the Computation of Eigenvectors of Matrices

A Dynamics Approach to the Computation of Eigenvectors of Matrices

Year:    2005

Author:    S. Jiménez, L. Vázquez

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 657–672

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2005-JCM-8845

Journal of Computational Mathematics, Vol. 23 (2005), Iss. 6 : pp. 657–672

Published online:    2005-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Smallest real eigenvalue Iterative method.

Author Details

S. Jiménez

L. Vázquez