Linear::QR< T, M, N, Flags > Struct Template Reference

Struct for QR decomposition. More...

#include <Decomp.h>

Public Member Functions
template<size_t P, size_t Q, unsigned int Flags2>
	QR (const Matrix< T, P, Q, Flags2 > &A)
	Constructor. More...
template<size_t P, size_t Q, unsigned int Flags2>
void	Compute (Matrix< T, P, Q, Flags2 > A)
	Computes the QR decomposition. More...

Public Attributes
Matrix< T, M, N, Flags >	Q
SquareMatrix< T, N, Flags >	R

Detailed Description

template<typename T, size_t M, size_t N, unsigned int Flags = 0>
struct Linear::QR< T, M, N, Flags >

Struct for QR decomposition.

This struct finds MxN matrix Q, NxN matrix R such that \(A=QR\) and R is upper triangular. Moreover, if Q is square then Q is unitary.

Parameters

T	Type to store matrix entries as.
M	Number of rows for Q. Dynamic is allowed for M.
N	Number of columns for Q and R (R is square). Dynamic is allowed for N.
Flags	Flags to pass to the matrices (default = row major).

Constructor & Destructor Documentation

QR()

template<typename T , size_t M, size_t N, unsigned int Flags = 0>

template<size_t P, size_t Q, unsigned int Flags2>

Linear::QR< T, M, N, Flags >::QR ( const Matrix< T, P, Q, Flags2 > &  A )

inline

Constructor.

Just calls Compute.

Parameters

A	PxQ Matrix

Member Function Documentation

Compute()

template<typename T , size_t M, size_t N, unsigned int Flags = 0>

template<size_t P, size_t Q, unsigned int Flags2>

void Linear::QR< T, M, N, Flags >::Compute ( Matrix< T, P, Q, Flags2 >  A )

inline

Computes the QR decomposition.

If P != M or Q != N, then an exception is thrown.

Parameters

A	PxQ Matrix

Member Data Documentation

Q

template<typename T , size_t M, size_t N, unsigned int Flags = 0>

Matrix<T,M,N,Flags> Linear::QR< T, M, N, Flags >::Q

Unitary when square

R

template<typename T , size_t M, size_t N, unsigned int Flags = 0>

SquareMatrix<T,N,Flags> Linear::QR< T, M, N, Flags >::R

Upper triangular matrix

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

• src/Decomp.h