Toeplitz< _CField, _PRing > Class Template Reference

This is the blackbox representation of a Toeplitz matrix. More...

#include <toeplitz.h>

Inheritance diagram for Toeplitz< _CField, _PRing >:

Public Types
typedef Father_t::PRing	PRing
typedef Father_t::Poly	Poly
typedef Father_t::Field	Field
typedef Father_t::Element	Element

Public Member Functions
	Toeplitz (const Field &F)
	Toeplitz (const PRing &PF)
	Toeplitz (const PRing &PF, const Poly &p, size_t m, size_t n=0)
const Field &	field () const
size_t	rowdim () const
size_t	rowdim () const
size_t	coldim () const
size_t	coldim () const
size_t	sysdim () const
size_t	sysdim () const
void	setToUniModUT ()
void	setToUniModUT ()
void	setToUniModLT ()
void	setToUniModLT ()
std::ostream &	write (std::ostream &out) const
std::ostream &	write (std::ostream &out) const
void	read (std::istream &in)
void	read (std::istream &in)

Data Fields
const Field *	field_

Protected Types
typedef ToeplitzBase< _CField, _PRing >	Father_t

Protected Attributes
PRing	P
PRing	P
size_t	rowDim
size_t	rowDim
size_t	colDim
size_t	colDim
size_t	sysDim
size_t	sysDim
Poly	pdata
Poly	pdata
Poly	rpdata
Poly	rpdata
std::string	shape
std::string	shape

Static Protected Attributes
static const int	UnimodUT
static const int	UnimodUT
static const int	UnimodLT
static const int	UnimodLT

Detailed Description

template<class _CField, class _PRing>
class LinBox::Toeplitz< _CField, _PRing >

This is the blackbox representation of a Toeplitz matrix.

It stores the 2n-1 values of the first row and column. The _PRing template parameter should be a polynomial ring. Computations on the matrix will be performed using this polynomial ring. The apply is a call to polynomial multiplication and if the poly ring is FFT based for large n, apply will run in O(n lg(n)) time.

Member Typedef Documentation

Father_t

template<class _CField, class _PRing>

typedef ToeplitzBase<_CField,_PRing> Father_t

protected

PRing

template<class _CField, class _PRing>

typedef Father_t::PRing PRing

Poly

template<class _CField, class _PRing>

typedef Father_t::Poly Poly

Field

template<class _CField, class _PRing>

typedef Father_t::Field Field

Element

template<class _CField, class _PRing>

typedef Father_t::Element Element

Constructor & Destructor Documentation

Toeplitz() [1/3]

template<class _CField, class _PRing>

Toeplitz ( const Field & F )

inline

Toeplitz() [2/3]

template<class _CField, class _PRing>

Toeplitz ( const PRing & PF )

inline

Toeplitz() [3/3]

template<class _CField, class _PRing>

Toeplitz ( const PRing & PF, const Poly & p, size_t m, size_t n = 0 )

inline

Member Function Documentation

field()

template<class _CField, class _PRing>

const Field & field ( ) const

inline

rowdim() [1/2]

size_t rowdim ( ) const

inlineinherited

rowdim() [2/2]

size_t rowdim ( ) const

inlineinherited

coldim() [1/2]

size_t coldim ( ) const

inlineinherited

coldim() [2/2]

size_t coldim ( ) const

inlineinherited

sysdim() [1/2]

size_t sysdim ( ) const

inlineinherited

sysdim() [2/2]

size_t sysdim ( ) const

inlineinherited

setToUniModUT() [1/2]

void setToUniModUT ( )

inherited

setToUniModUT() [2/2]

void setToUniModUT ( )

inherited

setToUniModLT() [1/2]

void setToUniModLT ( )

inherited

setToUniModLT() [2/2]

void setToUniModLT ( )

inherited

write() [1/2]

std::ostream & write ( std::ostream & out ) const

inlineinherited

write() [2/2]

std::ostream & write ( std::ostream & out ) const

inlineinherited

read() [1/2]

void read ( std::istream & in )

inlineinherited

read() [2/2]

void read ( std::istream & in )

inlineinherited

Field Documentation

field_

template<class _CField, class _PRing>

const Field* field_

P [1/2]

PRing P

protectedinherited

P [2/2]

PRing P

protectedinherited

rowDim [1/2]

size_t rowDim

protectedinherited

rowDim [2/2]

size_t rowDim

protectedinherited

colDim [1/2]

size_t colDim

protectedinherited

colDim [2/2]

size_t colDim

protectedinherited

sysDim [1/2]

size_t sysDim

protectedinherited

sysDim [2/2]

size_t sysDim

protectedinherited

pdata [1/2]

Poly pdata

protectedinherited

pdata [2/2]

Poly pdata

protectedinherited

rpdata [1/2]

Poly rpdata

protectedinherited

rpdata [2/2]

Poly rpdata

protectedinherited

UnimodUT [1/2]

const int UnimodUT

staticprotectedinherited

UnimodUT [2/2]

const int UnimodUT

staticprotectedinherited

UnimodLT [1/2]

const int UnimodLT

staticprotectedinherited

UnimodLT [2/2]

const int UnimodLT

staticprotectedinherited

shape [1/2]

std::string shape

protectedinherited

shape [2/2]

std::string shape

protectedinherited

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The documentation for this class was generated from the following file:

• toeplitz.h