polynomial_roots.f90 File Reference

Modules
module	mod_polynomial_roots

Functions/Subroutines
pure subroutine, public	mod_polynomial_roots::solve_quadratic (a, b, x)
	Solve quadratic equation in monic form.
pure subroutine, public	mod_polynomial_roots::solve_cubic (a, b, c, x)
	Solve cubic equation in monic form.
pure subroutine, public	mod_polynomial_roots::solve_quartic (a, b, c, d, x)
	Solve quartic equation in monic form.
pure subroutine	mod_polynomial_roots::solve_complex_quadratic (a, b, x)
	Solve quadratic equation in monic form with complex coefficients.
pure subroutine	mod_polynomial_roots::fitcubic (a, b, c, x)
	Solve cubic equation using a fitting algorithm.
pure subroutine	mod_polynomial_roots::quartic_backward_optimizer (a, b, c, d, alpha, beta, gamma, delta, err, imax)
pure subroutine	mod_polynomial_roots::sort_roots (x)
	Sort complex root using the Insertion Sort algorithm from larger to lower magnitude.
pure subroutine	mod_polynomial_roots::quartic_closed_form (a, b, c, d, x)
	Ferrari's algorithm to solve quartic equations in monic form (closed form root finding)
pure subroutine	mod_polynomial_roots::quartic_least_square_optimizer (a, b, c, d, alpha, beta, gamma, delta)