This file implements QR decomposition using housholder transformation. More...

#include <cmath>
#include <cstdlib>
#include <fstream>
#include <iomanip>
#include <iostream>
#include <sstream>
#include <string>
#include "densematrix.hh"
#include "vector.hh"

Functions
template<class REAL >
DenseMatrix< REAL >	hdnum::creat_I_matrix (size_t n)

template<typename REAL >
size_t	hdnum::sgn (REAL val)
	Function that return the sign of a number.

template<class REAL >
void	hdnum::qrhousholder (DenseMatrix< REAL > &A, hdnum::Vector< REAL > &v)
	Funktion that calculate the QR decoposition in place the elements of A will be replaced with the elements of v_{i}vectors and the upper diagonals elements of R and the diagonal elements of R will be saved in vectro v.

template<class REAL >
DenseMatrix< REAL >	hdnum::qrhousholderexplizitQ (DenseMatrix< REAL > &A, hdnum::Vector< REAL > &v, bool show_Hi=false)
	Funktion that calculate the QR decoposition in place and return Q the elements of A will be replaced with the elements of v_{i}vectors and the upper diagonals elements of R and the diagonal elements of R will be saved in vectro v.

Detailed Description

This file implements QR decomposition using housholder transformation.

Function Documentation

◆ qrhousholder()

template<class REAL >

void hdnum::qrhousholder	(	DenseMatrix< REAL > &	A,
		hdnum::Vector< REAL > &	v )

Funktion that calculate the QR decoposition in place the elements of A will be replaced with the elements of v_{i}vectors and the upper diagonals elements of R and the diagonal elements of R will be saved in vectro v.

Template Parameters

A	the Matrix
v	oa vector of hdnum::Vector

◆ qrhousholderexplizitQ()