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QRMatrix: New class to provide QR-decomposition by Householder reflection

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This development is sponsored by Carnegie Wave Energy Ltd.
This commit is contained in:
Henry Weller
2016-03-24 14:49:25 +00:00
parent 9bbf09573b
commit e9199c6e14
4 changed files with 460 additions and 0 deletions
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27
applications/test/Matrix/Test-Matrix.C
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@ -25,6 +25,7 @@ License
#include "scalarMatrices.H"
#include "LLTMatrix.H"
#include "QRMatrix.H"
#include "vector.H"
#include "tensor.H"
#include "IFstream.H"
@ -161,6 +162,32 @@ int main(int argc, char *argv[])
Info<< "LLT solve residual " << (squareMatrix*x - source) << endl;
}
{
scalarSquareMatrix squareMatrix(3, Zero);
squareMatrix(0, 0) = 4;
squareMatrix(0, 1) = 12;
squareMatrix(0, 2) = -16;
squareMatrix(1, 0) = 12;
squareMatrix(1, 1) = 37;
squareMatrix(1, 2) = -43;
squareMatrix(2, 0) = -16;
squareMatrix(2, 1) = -43;
squareMatrix(2, 2) = 98;
scalarField source(3, 1);
QRMatrix<scalarSquareMatrix> QR(squareMatrix);
scalarField x(QR.solve(source));
Info<< "QR solve residual "
<< (squareMatrix*x - source) << endl;
Info<< "QR inverse solve residual "
<< (x - QR.inverse()*source) << endl;
}
Info<< "\nEnd\n" << endl;
return 0;