NAME

       Math::GSL::Poly - Solve and evaluate polynomials

SYNOPSIS

           use Math::GSL::Poly qw/:all/;
           my ($a,$b,$c) = (1,6,9);
           my ($x0, $x1) = (0,0);
           my $num_roots = gsl_poly_solve_quadratic( $a, $b, $c, \$x0, \$x1);
           print "${a}*x**2 + ${b}*x + $c contains $num_roots roots which are $x0 and $x1. \n";

DESCRIPTION

       Here is a list of all the functions included in this module :

       •   gsl_poly_eval(@values, $length, $x)

           This function evaluates a polynomial with real coefficients for the real variable $x.
           $length is the number of elements inside @values. The function returns a complex
           number.

       •   gsl_poly_complex_eval(@values, $length, $z)

           This function evaluates a polynomial with real coefficients for the complex variable
           $z. $length is the number of elements inside @valuesi. The function returns a complex
           number.

       •   gsl_complex_poly_complex_eval(@values, $length, $z)

           This function evaluates a polynomial with real coefficients for the complex variable
           $z. $length is the number of elements inside @values. $length is the number of
           elements inside @values. The function returns a complex number.

       •   gsl_poly_dd_init

       •   gsl_poly_dd_eval

       •   gsl_poly_dd_taylor

       •   gsl_poly_solve_quadratic( $a, $b, $c, \$x0, \$x1)

           Find the real roots of the quadratic equation $a*x**2+$b*x+$c = 0, return the number
           of real root (either zero, one or two) and the real roots are returned by $x0, $x1 and
           $x2 which are deferenced.

       •   gsl_poly_complex_solve_quadratic

       •   gsl_poly_solve_cubic($a, $b, $c, \$x0, \$x1, \$x2)

           find the real roots of the cubic equation x**3+$a*x**2+$b*x+$c = 0, return the number
           of real root (either one or three) and the real roots are returned by $x0, $x1 and $x2
           which are deferenced.

       •   gsl_poly_complex_solve_cubic

       •   gsl_poly_complex_workspace_alloc($n)

           This function allocates space for a gsl_poly_complex_workspace struct and a workspace
           suitable for solving a polynomial with $n coefficients using the routine
           gsl_poly_complex_solve.

       •   gsl_poly_complex_workspace_free($w)

           This function frees all the memory associated with the workspace $w.

       •   gsl_poly_complex_solve()

       For more information on the functions, we refer you to the GSL official documentation:
       <http://www.gnu.org/software/gsl/manual/html_node/>

AUTHORS

       Jonathan "Duke" Leto <jonathan@leto.net> and Thierry Moisan <thierry.moisan@gmail.com>

COPYRIGHT AND LICENSE

       Copyright (C) 2008-2023 Jonathan "Duke" Leto and Thierry Moisan

       This program is free software; you can redistribute it and/or modify it under the same
       terms as Perl itself.