| 同伦连续法求解矩阵特征值的研究 |
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| 引用本文： | 李敏,柳波.同伦连续法求解矩阵特征值的研究[J].绵阳师范学院学报,2012,31(8):1-4. |
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| 作者姓名： | 李敏 柳波 |
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| 作者单位： | 1. 绵阳师范学院数学与计算机科学学院,四川绵阳621000 中国工程物理研究院五所,四川绵阳621000
2. 绵阳师范学院数学与计算机科学学院,四川绵阳,621000 |
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| 摘 要： | 研究了同伦连续法在求解举证特征值上的应用思路,证明了求解矩阵特征值过程中,构造参数方程的三个数学性质,在matcont中用同伦法求解了两个类型矩阵的特征值,同时在mat lab中用QR分解进行求解,实验显示:同伦法和QR分解计算的结果非常接近。
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| 关 键 词： | 同伦连续法 矩阵特征值 matcont QR方法 |
On Homotopy Continuation Method to Matrix Eigen-value |
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| LI Min,LIU Bo.On Homotopy Continuation Method to Matrix Eigen-value[J].Journal of Mianyang Normal University,2012,31(8):1-4. |
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| Authors: | LI Min LIU Bo |
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| Institution: | 1.Dept.of Maths & Computer Science,Mianyang Normal University,Mianyang,Sichuan 621000; 2.No.5 Institute of China Academy of Engineering Physics,Mianyang,Sichuan 621900) |
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| Abstract: | In this paper,the application of homotopy continuation method to matrix eigen-value is discussed;and the mathematical nature of parameter equations which are constructed during the course of matrix eigen-value is also proved.Two kinds of matrix eigen-value are solved with homotopy continuation method in mat cont,QR is used to evaluate matrix eigenvalue at the same time in mat lab.The experiment shows that the results of the two ways are very small. |
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| Keywords: | Homotopy continuation method matrix eigen-value mat cont QR method |
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