<ipython-input-10-bb2fa9faddd0> in <module> 41 42 A=np.array([[2,1],[3,-1]]) ---> 43 lu_decomposition(A) <ipython-input-10-bb2fa9faddd0> in lu_decomposition(A) 28 29 # 进行高斯消元 ---> 30 gauss_elimination(A) 31 32 # 得到L和U <ipython-input-10-bb2fa9faddd0> in gauss_elimination(A) 17 continue 18 factor = A[j][i] / A[i][i] ---> 19 A[j][i+1:] -= factor * A[i][i+1:] 20 A[j][i] = factor 21 UFuncTypeError: Cannot cast ufunc 'subtract' output from dtype('float64') to dtype('int32') with casting rule 'same_kind'修改一下

这段代码中出现了数据类型不匹配的错误，无法将浮点数类型的结果转换为整数类型。可以尝试将数组 A 的数据类型改为浮点数类型，修改如下：

import numpy as np

def lu_decomposition(A):
    n = A.shape[0]
    L = np.eye(n)
    U = np.zeros((n, n))

    def gauss_elimination(A):
        for i in range(n):
            for j in range(i+1, n):
                if A[j][i] == 0:
                    continue
                factor = A[j][i] / A[i][i]
                A[j][i+1:] -= factor * A[i][i+1:]
                A[j][i] = factor

    # 将数组 A 的数据类型改为浮点数类型
    A = A.astype(np.float64)
    
    gauss_elimination(A)

    for i in range(n):
        for j in range(n):
            if i > j:
                L[i][j] = A[i][j] / A[j][j]
            elif i == j:
                L[i][j] = 1
                U[i][j] = A[i][j]
            else:
                U[i][j] = A[i][j]

    return L, U

# 测试代码
A = np.array([[2,1],[3,-1]])
L, U = lu_decomposition(A)
print("L:")
print(L)
print("U:")
print(U)

这样就可以解决数据类型不匹配的问题。