Fix compilation of HouseholderQR and ColPivotingHouseholderQR for non-square fixed-size matrices.

For Colpiv that was just changing MatrixQType to MatrixType in the instantiation of HouseholderSequence.
For HouseholderQR I also re-ported the solve method from Colpiv as there were multiple issues.
This commit is contained in:
Benoit Jacob
2009-09-28 10:49:55 -04:00
parent 67bf7c90c5
commit eeabd18afc
4 changed files with 36 additions and 27 deletions

View File

@@ -62,7 +62,7 @@ template<typename MatrixType> class ColPivotingHouseholderQR
typedef Matrix<Scalar, 1, ColsAtCompileTime> RowVectorType;
typedef Matrix<Scalar, RowsAtCompileTime, 1> ColVectorType;
typedef Matrix<RealScalar, 1, ColsAtCompileTime> RealRowVectorType;
typedef typename HouseholderSequence<MatrixQType,HCoeffsType>::ConjugateReturnType HouseholderSequenceType;
typedef typename HouseholderSequence<MatrixType,HCoeffsType>::ConjugateReturnType HouseholderSequenceType;
/**
* \brief Default Constructor.

View File

@@ -62,7 +62,7 @@ template<typename MatrixType> class HouseholderQR
typedef Matrix<Scalar, RowsAtCompileTime, RowsAtCompileTime, AutoAlign | (ei_traits<MatrixType>::Flags&RowMajorBit ? RowMajor : ColMajor)> MatrixQType;
typedef Matrix<Scalar, DiagSizeAtCompileTime, 1> HCoeffsType;
typedef Matrix<Scalar, 1, ColsAtCompileTime> RowVectorType;
typedef typename HouseholderSequence<MatrixQType,HCoeffsType>::ConjugateReturnType HouseholderSequenceType;
typedef typename HouseholderSequence<MatrixType,HCoeffsType>::ConjugateReturnType HouseholderSequenceType;
/**
* \brief Default Constructor.
@@ -206,18 +206,22 @@ void HouseholderQR<MatrixType>::solve(
) const
{
ei_assert(m_isInitialized && "HouseholderQR is not initialized.");
result->resize(m_qr.cols(), b.cols());
const int rows = m_qr.rows();
const int cols = b.cols();
const int rank = std::min(m_qr.rows(), m_qr.cols());
ei_assert(b.rows() == rows);
result->resize(rows, cols);
*result = b;
result->applyOnTheLeft(matrixQAsHouseholderSequence().inverse());
typename OtherDerived::PlainMatrixType c(b);
// Note that the matrix Q = H_0^* H_1^*... so its inverse is Q^* = (H_0 H_1 ...)^T
c.applyOnTheLeft(makeHouseholderSequence(m_qr.corner(TopLeft,rows,rank), m_hCoeffs.start(rank)).transpose());
const int rank = std::min(result->rows(), result->cols());
m_qr.corner(TopLeft, rank, rank)
.template triangularView<UpperTriangular>()
.solveInPlace(result->corner(TopLeft, rank, result->cols()));
.solveInPlace(c.corner(TopLeft, rank, c.cols()));
result->corner(TopLeft, rank, c.cols()) = c.corner(TopLeft,rank, c.cols());
result->corner(BottomLeft, result->rows()-rank, c.cols()).setZero();
}
/** \returns the matrix Q */