[pre-commit.ci] auto fixes from pre-commit.com hooks

for more information, see https://pre-commit.ci

Author: pre-commit-ci[bot]

maths/numerical_analysis/fixed_point_iteration.py

@@ -1,10 +1,11 @@
 from typing import Callable
 
+
 def fixed_point_iteration(
     iteration_function: Callable[[float], float],
     initial_guess: float,
     tolerance: float = 1e-7,
-    max_iterations: int = 1000
+    max_iterations: int = 1000,
 ) -> float:
     """
     Perform Fixed Point Iteration to find the root of the equation x = g(x).
@@ -38,11 +39,12 @@ def fixed_point_iteration(
         x = x_new
     raise ValueError("Fixed Point Iteration did not converge")
 
+
 if __name__ == "__main__":
 
     def quadratic_transform(current_value: float) -> float:
         """Quadratic transformation function for iteration."""
         return (current_value**2 + 2) / 3
 
     root = fixed_point_iteration(quadratic_transform, initial_guess=1.0)
-    print(f"Approximate root: {root}")
+    print(f"Approximate root: {root}")

maths/numerical_analysis/modified_newton_raphson.py

@@ -1,11 +1,12 @@
 from typing import Callable
 
+
 def modified_newton_raphson(
     function: Callable[[float], float],
     derivative_function: Callable[[float], float],
     initial_guess: float,
     tolerance: float = 1e-7,
-    max_iterations: int = 1000
+    max_iterations: int = 1000,
 ) -> float:
     """
     Perform the Modified Newton-Raphson method to find the root of f(x) = 0.
@@ -47,6 +48,7 @@ def modified_newton_raphson(
         x = x_new
     raise ValueError("Modified Newton-Raphson did not converge")
 
+
 if __name__ == "__main__":
     import math
 
@@ -56,5 +58,7 @@ def compute_function(current_x: float) -> float:
     def compute_derivative(current_x: float) -> float:
         return 3 * current_x**2 - 2
 
-    root = modified_newton_raphson(compute_function, compute_derivative, initial_guess=2.0)
-    print(f"Approximate root: {root}")
+    root = modified_newton_raphson(
+        compute_function, compute_derivative, initial_guess=2.0
+    )
+    print(f"Approximate root: {root}")