mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-12-18 17:20:16 +00:00
a8b6bda993
* Remove eval from arithmetic_analysis/newton_raphson.py
* Relocate contents of arithmetic_analysis/
Delete the arithmetic_analysis/ directory and relocate its files because
the purpose of the directory was always ill-defined. "Arithmetic
analysis" isn't a field of math, and the directory's files contained
algorithms for linear algebra, numerical analysis, and physics.
Relocated the directory's linear algebra algorithms to linear_algebra/,
its numerical analysis algorithms to a new subdirectory called
maths/numerical_analysis/, and its single physics algorithm to physics/.
* updating DIRECTORY.md
---------
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
30 lines
574 B
Python
30 lines
574 B
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)}")
|