SPAR/AIModule/BWTA/vendors/CGAL/CGAL/Polynomial/bezout_matrix.h File Reference

#include <algorithm>
#include <CGAL/basic.h>
#include <CGAL/Polynomial_traits_d.h>
#include <CGAL/Polynomial/determinant.h>
#include <vector>

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Namespaces
namespace	CGALi
Functions
template<typename Polynomial_traits_d >
CGALi::Simple_matrix< typename Polynomial_traits_d::Coefficient_type >	CGALi::hybrid_bezout_matrix (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, int sub=0)
	construct hybrid Bezout matrix of two polynomials
template<typename Polynomial_traits_d >
CGALi::Simple_matrix< typename Polynomial_traits_d::Coefficient_type >	CGALi::symmetric_bezout_matrix (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, int sub=0)
	construct the symmetric Bezout matrix of two polynomials
template<class Polynomial_traits_d >
Polynomial_traits_d::Coefficient_type	CGALi::hybrid_bezout_subresultant (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, int sub=0)
	compute (sub)resultant as Bezout matrix determinant
template<class InputIterator , class OutputIterator , class NT >
void	CGALi::symmetric_minors_to_subresultants (InputIterator in, OutputIterator out, NT divisor, int n, int m, bool swapped)
template<class Polynomial_traits_d , class OutputIterator >
OutputIterator	CGALi::symmetric_bezout_subresultants (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, OutputIterator sres)
	compute the principal subresultant coefficients as minors of the symmetric Bezout matrix.
template<class Polynomial_traits_d >
CGALi::Simple_matrix< typename Polynomial_traits_d::Coefficient_type >	CGALi::modified_hybrid_bezout_matrix (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g)
template<class Polynomial_traits_d , class OutputIterator >
OutputIterator	CGALi::hybrid_bezout_subresultants (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, OutputIterator sres)
	compute the principal subresultant coefficients as minors of the hybrid Bezout matrix.
template<class NT >
void	CGALi::swap_entries (typename CGALi::Simple_matrix< NT > &A)
template<class NT , class InputIterator >
CGALi::Simple_matrix< NT >	CGALi::s_matrix (const typename CGALi::Simple_matrix< NT > &B, InputIterator num, int size)
template<class OutputIterator >
OutputIterator	CGALi::s_matrix_integer_sequence (OutputIterator it, int c, int s, int n)
template<typename Polynomial_traits_d >
CGALi::Simple_matrix< typename Polynomial_traits_d::Coefficient_type >	CGALi::polynomial_subresultant_matrix (typename Polynomial_traits_d::Polynomial_d f, typename Polynomial_traits_d::Polynomial_d g, int d=0)
	computes the coefficients of the polynomial subresultant sequence