Numerical methods

Repository contains:

• Finding zeros of linear equations with bisection/Euler method
• Solving a system of N linear equations with N unknowns using Gauss elimination
• Newton interpolation on equidistant nodes
• Complex Newton-Cotes quadrature based on three nodes (Simpson formula) and integration on the interval [−1, 1] with a weight of (1 / sqrt(1 - x2)) (Chebyshev polynomials) integrals of the form: ∫(1 / sqrt(1 - x2)) f(x) dx
• Approximation based on laguerre polynomials using Laguerre polynomials integration