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LQUPMatrix Class Template Reference

#include <factorized-matrix.h>

List of all members.

template<class Field>
class LinBox::LQUPMatrix< Field >

Public Types
typedef Field::Element	Element
Public Methods
	LQUPMatrix (const Field &F, const BlasMatrix< Element > &A)
	LQUPMatrix (const Field &F, BlasMatrix< Element > &A)
	~LQUPMatrix ()
Field &	field ()
size_t	rowdim () const
size_t	coldim () const
size_t	getrank () const
const BlasPermutation &	getP () const
const BlasPermutation &	getQ () const
TriangularBlasMatrix< Element > &	getL (TriangularBlasMatrix< Element > &L) const
TriangularBlasMatrix< Element > &	getU (TriangularBlasMatrix< Element > &U) const
BlasMatrix< Element > &	getS (BlasMatrix< Element > &S) const
Element *	getPointer () const
const size_t	getStride () const
template<class Operand> Operand &	left_solve (Operand &X, const Operand &B) const
template<class Operand> Operand &	left_solve (Operand &B) const
template<class Operand> Operand &	right_solve (Operand &X, const Operand &B) const
template<class Operand> Operand &	right_solve (Operand &B) const
template<class Operand> Operand &	left_Lsolve (Operand &X, const Operand &B) const
template<class Operand> Operand &	left_Lsolve (Operand &B) const
template<class Operand> Operand &	right_Lsolve (Operand &X, const Operand &B) const
template<class Operand> Operand &	right_Lsolve (Operand &B) const
template<class Operand> Operand &	left_Usolve (Operand &X, const Operand &B) const
template<class Operand> Operand &	rleft_Usolve (Operand &B) const
template<class Operand> Operand &	right_Usolve (Operand &X, const Operand &B) const
template<class Operand> Operand &	right_Usolve (Operand &B) const
Protected Attributes
Field	_F
BlasMatrix< Element > &	_LU
BlasPermutation	_P
BlasPermutation	_Q
size_t	_m
size_t	_n
size_t	_rank
bool	_alloc

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Member Typedef Documentation

typedef Field::Element Element

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Constructor & Destructor Documentation

LQUPMatrix (  const Field &    F, const BlasMatrix< Element > &    A )  [inline]

LQUPMatrix (  const Field &    F, BlasMatrix< Element > &    A )  [inline]

~LQUPMatrix (    )  [inline]

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Member Function Documentation

size_t coldim (    )  const [inline]

Field& field (    )  [inline]

TriangularBlasMatrix< typename Field::Element > & getL (  TriangularBlasMatrix< Element > &    L )  const [inline]

const BlasPermutation& getP (    )  const [inline]

Element* getPointer (    )  const [inline]

const BlasPermutation& getQ (    )  const [inline]

get the _transpose_ of the permutation Q NOTE: this does not return Q itself! (because it is more difficult to compute) If needed, Q can be obtained as a TransposedBlasMatrix from the return value One reason this confusion exists is that left-multiplying by a permuation matrix corresponds to a row permuation \pi \in S_n, while right-multiplying by the same matrix corresponds to the inverse column permutation \pi^(-1)! Usually this is handled intelligently (eg by applyP) but you must be careful with getQ().

size_t getrank (    )  const [inline]

BlasMatrix<Element>& getS (  BlasMatrix< Element > &    S )  const

const size_t getStride (    )  const [inline]

TriangularBlasMatrix<Element>& getU (  TriangularBlasMatrix< Element > &    U )  const

Operand& left_Lsolve (  Operand &    B )  const [inline]

Operand& left_Lsolve (  Operand &    X, const Operand &    B )  const [inline]

Operand& left_solve (  Operand &    B )  const [inline]

Operand& left_solve (  Operand &    X, const Operand &    B )  const [inline]

Operand& left_Usolve (  Operand &    X, const Operand &    B )  const [inline]

Operand& right_Lsolve (  Operand &    B )  const [inline]

Operand& right_Lsolve (  Operand &    X, const Operand &    B )  const [inline]

Operand& right_solve (  Operand &    B )  const [inline]

Operand& right_solve (  Operand &    X, const Operand &    B )  const [inline]

Operand& right_Usolve (  Operand &    B )  const [inline]

Operand& right_Usolve (  Operand &    X, const Operand &    B )  const [inline]

Operand& rleft_Usolve (  Operand &    B )  const [inline]

size_t rowdim (    )  const [inline]

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Member Data Documentation

bool _alloc [protected]

Field _F [protected]

BlasMatrix<Element>& _LU [protected]

size_t _m [protected]

size_t _n [protected]

BlasPermutation _P [protected]

BlasPermutation _Q [protected]

size_t _rank [protected]

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