Class newton

Overview

Class newton implements the Newton-Raphson algorithm for a generic parabola y = a*x^2 + b*x + c.

Example usage

std :: cout << newton :: quadratic(0, 0, 2) << std :: endl; // Prints NaN
std :: cout << newton :: quadratic(0, 0, -4, -1) << std :: endl; // Prints -2

Interface

Static members

• static constexpr double epsilon

  machine epsilon considered for the computation

• static constexpr unsigned int rounds

  maximum number of iterations before forced timeout

Static methods

• double quadratic(const double & a, const double & b, const double & c, double starting_point = 0)

  using Newton-Raphson method, returns the zero of the parabola y = a*x^2 + b*x + c.

  REMARK: if the parabola has no zeros, the function returns a NaN