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A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES

A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES
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摘要 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. 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.
出处 《Journal of Computational Mathematics》 SCIE CSCD 2005年第6期657-672,共16页 计算数学(英文)
关键词 Smallest real eigenvalue Iterative method Smallest real eigenvalue, Iterative method
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二级参考文献4

  • 1Strauss WA,Vázquez L.Numerical solution of a nonlinear Klein-Gordon equation[].Journal of Computational Physics.1978
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共引文献1

  • 1Luis Vazquez (Dept. Matematica Aplicada, Facultad de Informatica, Universidad Complutense, 28040-Madrid, Spain ) Salvador Jimenez (Dept. Matematica y Fisica Aplicadas, Universidad Alfonso X E1 Sabio, Avda. Universidad 1, 28691-Villanueva de la Canada, Mad.ANALYSIS OF A MECHANICAL SOLVER FOR LINEAR SYSTEMS OF EQUATIONS[J].Journal of Computational Mathematics,2001,19(1):9-14.

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