A DYNAMICS APPROACH TO THE COMPUTATION OF EIGENVECTORS OF MATRICES

• 来源期刊: 计算数学（英文版）
• 关键词: Smallest real eigenvalue Iterative method
• 年，卷（期）: 2005,（6）
• 页码范围: 657-672
• 页数: 16页
• 语种: 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.Mathematics subject classifcation: 65F15, 65P99