# 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 informations on the functions, we refer you to the GSL offcial 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) 2008-2011 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.