charpoly.h File Reference

#include "linbox/solutions/methods.h"
#include "linbox/util/debug.h"
#include "linbox/field/field-traits.h"
#include "linbox/matrix/dense-matrix.h"
#include "linbox/matrix/matrix-domain.h"
#include "linbox/randiter/random-prime.h"
#include "linbox/algorithms/bbcharpoly.h"
#include "linbox/algorithms/matrix-hom.h"
#include "linbox/algorithms/rational-cra-var-prec.h"
#include "linbox/algorithms/cra-builder-var-prec-early-multip.h"
#include "linbox/algorithms/charpoly-rational.h"
#include "linbox/ring/modular.h"
#include "linbox/algorithms/cra-domain.h"
#include "linbox/algorithms/cra-builder-full-multip.h"
#include "linbox/algorithms/cra-builder-early-multip.h"

Data Structures
struct	IntegerModularCharpoly< Blackbox, MyMethod >

Namespaces
namespace	LinBox
	Namespace in which all linbox code resides.

Functions
template<class Blackbox, class Polynomial, class MyMethod, class DomainCategory>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const DomainCategory &tag, const MyMethod &M)
template<class Blackbox, class Polynomial, class MyMethod>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const MyMethod &M)
	...using an optional Method parameter
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A)
	...using default method
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::ModularTag &tag, const Method::Auto &M)
template<class Domain, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const SparseMatrix< Domain > &A, const RingCategories::ModularTag &tag, const Method::Auto &M)
template<class Domain, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const BlasMatrix< Domain > &A, const RingCategories::ModularTag &tag, const Method::Auto &M)
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::ModularTag &tag, const Method::Elimination &M)
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::ModularTag &tag, const Method::DenseElimination &M)
	Compute the characteristic polynomial over \(\mathbf{Z}_p\).
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::IntegerTag &tag, const Method::Auto &M)
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::IntegerTag &tag, const Method::Elimination &M)
template<class Matrix, class Polynomial, class Method>
Polynomial &	charpoly (Polynomial &P, const Matrix &A, const RingCategories::IntegerTag &tag, const Method &M)
template<class Blackbox, class Polynomial>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::ModularTag &tag, const Method::Blackbox &M)
	Compute the characteristic polynomial over \(\mathbf{Z}_p\).
template<class Blackbox, class Polynomial, class MyMethod>
Polynomial &	charpoly (Polynomial &P, const Blackbox &A, const RingCategories::RationalTag &tag, const MyMethod &M)