111

228-13.py

@@ -32,7 +32,7 @@ def SOR(A,b,x,w,err,N):
         
         if count > N:
             return None,count, 0
-        
+#把矩阵改成题干的矩阵，b改成题干结果，err精度要求修改##########################
 if __name__ == "__main__":
     A = [
         [4,-1,0,-1,0,0],
@@ -46,7 +46,7 @@ if __name__ == "__main__":
 
     x = [0,0, 0, 0, 0, 0]
     err = 1e-5
-
+#w换成题干要求的值###########################
     w = 1
     x1,k,sta = SOR(A, b, x, w, err, 100)
     print(f"w = {w}, 解为: {x1}, 迭代次数: {k}, 状态: {'收敛' if sta == 1 else '未收敛'}")

228-15.py

@@ -33,7 +33,7 @@ def Inverse(A):
             minor = [row[:j] + row[j+1:] for row in (A[:i] + A[i+1:])]
             B[j][i] = ((-1) ** (i + j)) * sum(minor[k][l] * (-1) ** (k + l) for k in range(n - 1) for l in range(n - 1))
     det = Det(A)
-    print(det)
+    print("det(A):",det)
     if det == 0:
         print("矩阵不可逆")
         return None
@@ -45,17 +45,18 @@ def Cond(A,v):
     print(inv_A,Norm(A, v), Norm(inv_A, v))
     return Norm(A, v) * Norm(inv_A, v)
 
-
+#把矩阵换成题干的矩阵#########################
 if __name__ == "__main__":
     A = [
         [1,2],
         [1.001,2.001]
     ]
-
+#把范数的种类数换成题干的要求，inf是无穷范数#########################
     print(f"矩阵A的条件数为: {Cond(A, float('inf')):.5f}")
-
+#把矩阵换成题干的矩阵#########################
     A = [
         [1,2],
         [3,4]
     ]
+#把范数的种类数换成题干的要求，inf是无穷范数########################
     print(f"矩阵A的条件数为: {Cond(A, float('inf')):.5f}")

228-17.py

@@ -71,14 +71,14 @@ def IterativeMethod(A, b, err, N):
         A_c = [[A[i][j] for j in range(len(A[0]))] for i in range(len(A))]
         d1 = SovleRowMain(A_c, r1,4)[3]
         x0 = [x0[i] + d1[i] for i in range(len(x0))]
-        print(f"第{count+1}次迭代, x{count+2} = {x0}, r{count+1} = {r1}, d{count+1} = {d1}")
+        print(f"第{count+1}次迭代, r{count+1} = {r1}, d{count+1} = {d1}, x{count+2} = {x0}")
         err_now = max(abs(r1[i]) for i in range(len(r1)))
         count += 1
         if err_now < err:
             break
     return x0,count
 
-
+#把矩阵换成题干的矩阵，b换成题干结果，err精度要求修改##########################
 if __name__ == "__main__":
     A = [
         [51,82],
@@ -91,5 +91,5 @@ if __name__ == "__main__":
 
     x = IterativeMethod(A, b, err, N)[0]
     print(f"解为: {x}")
-
+#先用15题的代码求范数与逆矩阵