This repository regroup all the algorithm, I wrote them during my third semester at EPL in Numerical Algorithm subject. I gather them in this repository. These algorithms are writting especially in python
- Resolution of type equation f(x) = 0
- Resolution of type equation AX = B
- Differential equation
- Interpolation
First of all, we will focusing on the first major part the subject.
We have many methods of solving but here, we will deal with four or even five methods of resolution :
- Dichotomy (Bisection) method
- Corde method
- Newton Raphson method
- Substitution (Fixed point) method
- The input :
- the function to verify
- the limits of the interval [a, b]
- the precision p (tolerance)
- The output :
- the solution interval [a, b]
- the x tilde value
- number of iterations
- the input :
- the function to verify
- limits of the interval
- the precision p (tolerance)
- number of iterations
- the output :
- verification of the convergence
- the solution interval
- the x tilde value
- the number of iterations
- the input :
- the function to verify
- the derivative the the function to verify
- the limits of the interval
- the maximum number of iterations
- the output :
- the solution interval
- the x tilde value
- the number of iterations
- the input :
- the function to verify
- the limits of the interval
- the precision p (tolerance)
- the maximum number of iterations
- the output :
- the solution interval
- the x tilde value
- the number of iterations