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A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES |
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| Authors: | S Jimenez L Vazquez Colaborador honorifico Dept Matematica Aplicada Universidad Complutense de Madrid Madrid Spain Dept Matematica Aplicada Facultad de Informatica Universidad Complutense de Madrid Madrid Spain Centro de Astrobiologia CSIC/INTA Torrejon de Ardoz Madrid Spain |
| Institution: | S. Jimenez,L. Vazquez Colaborador honorifico,Dept. Matematica Aplicada,Universidad Complutense de Madrid,28040 Madrid,Spain Dept. Matematica Aplicada,Facultad de Informatica Universidad Complutense de Madrid,28040 Madrid,Spain, Centro de Astrobiologia,CSIC/INTA,28850 Torrejon de Ardoz,Madrid,Spain |
| 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. |
| Keywords: | Smallest real eigenvalue Iterative method |
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