| 求实矩阵全部特征值的投影幂法 |
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| 引用本文： | 杨淑娥 陈立萍. 求实矩阵全部特征值的投影幂法[J]. 北京工业大学学报, 1994, 20(2): 77-82 |
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| 作者姓名： | 杨淑娥 陈立萍 |
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| 作者单位： | 徐州彭城大学基础部，北京工业大学应用数学系 |
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| 摘 要： | 描述了求实矩阵部分或全部特征值的投影幂法的几个迭代格式。所述方法的思想是，在幂法的迭代过程中，利用投影矩阵滤去迭代向量中已知特征向量的成份，使迭代收敛到未知特征值，以达到求出矩阵全部特征值及相应的特征向量的目的。
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| 关 键 词： | 特征值，特征向量，投影矩阵，幂法 |
A Projected Power Method for Finding all Eigenvalues of A Real Matrix |
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| Yang Shue. A Projected Power Method for Finding all Eigenvalues of A Real Matrix[J]. Journal of Beijing Polytechnic University, 1994, 20(2): 77-82 |
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| Authors: | Yang Shue |
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| Abstract: | It is proposed that seveal iterative forms of projected power method for finding all or partial eigenvalues and associated eigenvectors of a real matrix. The idea of the method presented in this paper is that the eigenvectors corresponding to calculated eigenvalues is removed in iterative sequence of approximate eigenvalues by projected matrix in iterative procedure, so that the sequence is convergening to eigenvalues other that given dominant one.Finally, we can find all eigenvalues and corresponding eigenvectors. |
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| Keywords: | eigenvalus eigenvector projected matrix power method |
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