mod_polynomial_roots Module Reference

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

Function/Subroutine Documentation

quartic_backward_optimizer()

pure subroutine mod_polynomial_roots::quartic_backward_optimizer ( double precision, intent(in) a, double precision, intent(in) b, double precision, intent(in) c, double precision, intent(in) d, double precision, intent(inout) alpha, double precision, intent(inout) beta, double precision, intent(inout) gamma, double precision, intent(inout) delta, double precision, intent(out) err, integer, intent(out) imax )

private

quartic_least_square_optimizer()

pure subroutine mod_polynomial_roots::quartic_least_square_optimizer ( double precision, intent(in) a, double precision, intent(in) b, double precision, intent(in) c, double precision, intent(in) d, double precision, intent(in) alpha, double precision, intent(in) beta, double precision, intent(out) gamma, double precision, intent(out) delta )

private