Jiénez, S.; Vázquez, L. A dynamics approach to the computation of eigenvectors of matrices. (English) Zbl 1082.65042 J. Comput. Math. 23, No. 6, 657-672 (2005). Summary: 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. MSC: 65F15 Numerical computation of eigenvalues and eigenvectors of matrices 65P10 Numerical methods for Hamiltonian systems including symplectic integrators 37M15 Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems Keywords:critical points; smallest real eigenvalue; iterative method; dynamical systems; numerical examples PDFBibTeX XMLCite \textit{S. Jiénez} and \textit{L. Vázquez}, J. Comput. Math. 23, No. 6, 657--672 (2005; Zbl 1082.65042)