计算：Ax-b
A: 2*2
x: 2*1
b: 2*1
so, Ax-b: 2*1
if __name__ == "__main__":
A = np.array([[4.0, 1.0],
[1.0, 3.0]])
b = np.array([[1.0], [2.0]])
x_0 = np.array([[2.0], [1.0]])
r_k = A * x_0 - b
print(r_k)
错误！！！
修改：
if __name__ == "__main__":
A= mat([[4.0, 1.0],
[1.0, 3.0]])
b = mat([[1.0], [2.0]])
x_0 = mat([[2.0], [1.0]])
r_k = A * x_0 - b
print(r_k)
if __name__ == "__main__":
A= mat([[4.0, 1.0],
[1.0, 3.0]])
b = mat([[1.0], [2.0]])
x_k = mat([[2.0], [1.0]])
p_k = -x_k # 2行1列
r_k = A * x_k - b # 2行1列
alpha_k = (np.transpose(r_k) * r_k) / (np.transpose(p_k) * A * p_k) # 1行1列
-----------------------------------------------
x_k = x_k + alpha_k * p_k #2行1列 ！！！！这里报错
-----------------------------------------------
print(x_k)
修改：
if __name__ == "__main__":
A= mat([[4.0, 1.0],
[1.0, 3.0]])
b = mat([[1.0], [2.0]])
x_k = mat([[2.0], [1.0]])
p_k = -x_k # 2*1
r_k = A * x_k - b # 2*1
alpha_k = (np.transpose(r_k) * r_k) / (np.transpose(p_k) * A * p_k) # 1*1
-----------------------------------------------
x_k = x_k + p_k *alpha_k
-----------------------------------------------
print(x_k)
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