| 乘幂法求矩阵特征向量与特征值的初始向量及循环控制 |
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| 引用本文： | 陈建兵,敖鸿斐. 乘幂法求矩阵特征向量与特征值的初始向量及循环控制[J]. 数学的实践与认识, 2001, 31(2): 148-152 |
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| 作者姓名： | 陈建兵 敖鸿斐 |
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| 作者单位： | 同济大学土木工程学院 |
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| 摘 要： | 矩阵迭代法是求矩阵的第一阶特征值与特征向量的一种数值方法 .本文讨论了用矩阵迭代法求解矩阵的特征值与特征向量时的初始向量选取和循环控制条件
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| 关 键 词： | 矩阵迭代法 特征值 特征向量 线性无关 |
| 修稿时间： | 1998-11-10 |
Initial Vector and Iterating Control in the Solution toEigenvalue and Eigenvector of a Matrix by the Matrix Iterarion Method |
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| CHEN Jian-bing,AO Hong-fei. Initial Vector and Iterating Control in the Solution toEigenvalue and Eigenvector of a Matrix by the Matrix Iterarion Method[J]. Mathematics in Practice and Theory, 2001, 31(2): 148-152 |
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| Authors: | CHEN Jian-bing AO Hong-fei |
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| Abstract: | Matrix iteration method can be employed to figure out the first eigenvalue and eigenvector of a matrix. In the paper, the effects of the selection of the initial vector and the controlling condition of the iterating cycles in the matrix iteration method are inquired into. Moreover, some interesting phenomena about the iterating times are discussed. |
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| Keywords: | matrix iteration eigenvalue eigenvector linear unrelated |
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