scythe::QRdecomp Struct Reference

#include <scythestat/ide.h>

Collaboration diagram for scythe::QRdecomp:

Detailed Description

The result of a QR decomposition.

Objects of this type contain three matrices, QR, tau, and pivot, representing the results of a QR decomposition of a $m \times n$ matrix. After decomposition, the upper triangle of QR contains the min( $m$ , $n$ ) by $n$ upper trapezoidal matrix $R$ , while tau and the elements of QR below the diagonal represent the orthogonal matrix $Q$ as a product of min( $m$ , $n$ ) elementary reflectors. The vector pivot is a permutation vector containing information about the pivoting strategy used in the factorization.

QR is $m \times n$ , tau is a vector of dimension min( $m$ , $n$ ), and pivot is a vector of dimension $n$ .

See also:: qr_decomp (const Matrix<>& A)

Public Attributes

Matrix QR

Matrix tau

Matrix pivot

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

scythestat/ide.h

Generated on Wed Aug 15 14:53:51 2007 for Scythe-1.0.2 by

1.4.7