Python/maths/numerical_analysis/secant_method.py
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Python

"""
Implementing Secant method in Python
Author: dimgrichr
"""
from math import exp
def f(x: float) -> float:
"""
>>> f(5)
39.98652410600183
"""
return 8 * x - 2 * exp(-x)
def secant_method(lower_bound: float, upper_bound: float, repeats: int) -> float:
"""
>>> secant_method(1, 3, 2)
0.2139409276214589
"""
x0 = lower_bound
x1 = upper_bound
for _ in range(repeats):
x0, x1 = x1, x1 - (f(x1) * (x1 - x0)) / (f(x1) - f(x0))
return x1
if __name__ == "__main__":
print(f"Example: {secant_method(1, 3, 2)}")