Computes the QR decomposition of a matrix using the LAPACK functions xgeqpf (with pivoting) or xgeqrf (no pivoting). More...

#include <rw/lapack/qrcalc.h>

Static Public Member Functions
static bool	computeQR (RWGenMat< TypeT > &A, RWMathVec< TypeT > &tau, int *const pivots)

static bool	computeQR (RWGenMat< TypeT > &A, RWMathVec< TypeT > &tau, long *const pivots)

Detailed Description

template<class TypeT>
class RWQRCalc< TypeT >

Computes the QR decomposition of a matrix A using the LAPACK functions xgeqpf (with pivoting) or xgeqrf (no pivoting). This class may be used as the QRCalc template parameter for the classes RWQRDecomp, RWQRDecompServer, RWLeastSqQR and RWCODecomp.

Synopsis: #include <rw/lapack/qrcalc.h

Member Function Documentation

template<class TypeT >

static bool RWQRCalc< TypeT >::computeQR	(	RWGenMat< TypeT > &	A,
		RWMathVec< TypeT > &	tau,
		int *const	pivots
	)

static

Parameters:

On entry, A is the M-by-N matrix for which the QR decomposition is being computed. On exit, the upper triangle of the array contains the min(M,N)-by-N upper triangular matrix R; the elements below the diagonal, together with the vector tau, represent the orthogonal matrix Q as a product of min(m,n) elementary reflectors.

If pivots != null, then on entry, if pivots[i] != 0, the i-th column of A is permuted to the front of A*P (a leading column); if pivots(i) == 0, the i-th column of A is a free column. On exit, if pivots[i] = k, then the i-th column of A*P was the k-th column of A. If pivots == null, pivoting is not done.