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//
// $Id$
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
//
#include "HouseholderQR.hpp"
using namespace pwiz::math;
int main(int argc, char* argv[])
{
using namespace boost::numeric::ublas;
using namespace std;
matrix<double> A (3,3);
A(0,0) = 1;
A(0,1) = 1;
A(0,2) = 0;
A(1,1) = 1;
A(1,0) = 0;
A(1,2) = 0;
A(2,2) = 1;
A(2,0) = 1;
A(2,1) = 0;
cout << "A=" << A << endl;
cout << "QR decomposition using Householder" << endl;
matrix<double> Q(3,3), R(3,3);
HouseholderQR (A,Q,R);
matrix<double> Z = prod(Q,R) - A;
float f = norm_1 (Z);
cout << "Q=" << Q <<endl;
cout << "R=" << R << endl;
cout << "|Q*R - A|=" << f << endl;
return 0;
}
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