Fix: Correct jacobi, gauss, cholesky

ex1.py

@@ -1,22 +1,34 @@
 import numpy as np
 
 
-def resolve_up(A: np.array, b: np.array) -> np.array:
+def resolve_up(A, b) -> list[float]:
+    """
+
+    :param A: Une matrice
+    :param b: Un vecteur
+    :return:
+    """
     x = np.zeros(len(b))
     for i in range(len(A) - 1, -1, -1):
         right_of_diagonal = 0.0
-        for k in range(i+1, len(A)):
+        for k in range(i + 1, len(A)):
             right_of_diagonal += A[i, k] * x[k]
-        x[i] = (b[i] - right_of_diagonal) / A[i,i]
+        x[i] = (b[i] - right_of_diagonal) / A[i, i]
     return x
 
 
-def resolve_down(A: np.array, b: np.array) -> np.array:
+def resolve_down(A, b) -> list[float]:
+    """
+
+    :param A: Une matrice
+    :param b: Un vecteur
+    :return:
+    """
     x = np.zeros(len(b))
     for i in range(len(A)):
         sum = 0.0
         for k in range(i):
-            sum += A[i,k] * x[k]
+            sum += A[i, k] * x[k]
         x[i] = (b[i] - sum) / A[i, i]
     return x