生成雅可比迭代python代码
时间: 2023-10-14 21:26:23 浏览: 86
很高兴为您服务!以下是生成雅可比迭代Python代码的示例:
```
def jacobi(A, b, x0, tol=1e-8, maxiter=100):
""" Perform Jacobi iteration to solve Ax=b.
Parameters:
-----------
A : array (n, n)
Matrix A in the system Ax = b.
b : array (n,)
Array b in the system Ax = b.
x0 : array (n,)
Initial guess for the solution.
tol : float, optional
Tolerance for convergence.
maxiter : int, optional
Maximum number of iterations.
Returns:
--------
array (n,)
Solution to the system Ax = b.
"""
n = len(b)
x = x0.copy()
for k in range(maxiter):
xprev = x.copy()
for i in range(n):
s = 0
for j in range(n):
if j != i:
s += A[i, j] * xprev[j]
x[i] = (b[i] - s) / A[i, i]
if np.linalg.norm(x - xprev) < tol:
return x
raise ValueError("No convergence after {} iterations".format(maxiter))
```
希望这能帮助您回答您的问题!
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