A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES  

A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES

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作  者:S. Jiménez L. Vézquez 

机构地区:[1]Colaborador honorifico, Dept. Matemátiea Aplicada,Universidad Complutense de Madrid, 28040 Madrid, Spain [2]Dept. Matemdtica Aplicada, Facultad de Informática Universidad Complutense de Madrid, 28040 Madrid, Spain [3]Centro de Astrobiologla, CSIC/INTA, 28850 Torrejón de Ardoz, Madrid, Spain

出  处:《Journal of Computational Mathematics》2005年第6期657-672,共16页计算数学(英文)

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.

关 键 词:Smallest real eigenvalue Iterative method 

分 类 号:O151.21[理学—数学]

 

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