matlab雅各比法求特征值
时间: 2023-11-07 08:06:47 浏览: 231
雅各比法(Jacobi method)是一种用于计算矩阵特征值的迭代方法。在MATLAB中,可以通过编写代码来实现雅各比法求解特征值。以下是一个示例代码:
```matlab
function [eigenvalues] = jacobi_method(A, tolerance)
n = size(A, 1);
D = diag(A);
R = A - diag(D);
eigenvalues = D;
while max(abs(R(:))) > tolerance
[maxval, maxidx] = max(abs(R(:)));
[p, q] = ind2sub(size(R), maxidx);
theta = 0.5 * atan(2 * R(p, q) / (D(p) - D(q)));
c = cos(theta);
s = sin(theta);
G = eye(n);
G(p, p) = c;
G(p, q) = -s;
G(q, p) = s;
G(q, q) = c;
A = G' * A * G;
D = diag(A);
R = A - diag(D);
eigenvalues = D;
end
end
```
你可以将矩阵A和所需的容差tolerance作为输入参数传递给`jacobi_method`函数,它将返回特征值的求解结果。
阅读全文
相关推荐
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![-](https://img-home.csdnimg.cn/images/20241231045053.png)
![-](https://img-home.csdnimg.cn/images/20241226111658.png)
![](https://csdnimg.cn/download_wenku/file_type_ask_c1.png)
![zip](https://img-home.csdnimg.cn/images/20241231045053.png)
![application/x-rar](https://img-home.csdnimg.cn/images/20210720083606.png)
![rar](https://img-home.csdnimg.cn/images/20241231044955.png)