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Added Triangular expression to extract upper or lower (strictly or not)

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part of a matrix. Triangular also provide an optimised method for forward
and backward substitution. Further optimizations regarding assignments and
products might come later.

Updated determinant() to take into account triangular matrices.

Started the QR module with a QR decompostion algorithm.
Help needed to build a QR algorithm (eigen solver) based on it.
This commit is contained in:
Gael Guennebaud
2008-04-26 18:26:05 +00:00
parent 62bf0bbd59
commit 4c92150676
21 changed files with 586 additions and 19 deletions
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24
Eigen/src/Core/MatrixBase.h
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@@ -519,6 +519,22 @@ template<typename Derived> class MatrixBase
{ return *static_cast<Derived*>(const_cast<MatrixBase*>(this)); }
//@}
/// \name Triangular matrices
//@{
Triangular<Upper, Derived> upper(void);
const Triangular<Upper, Derived> upper(void) const;
const Triangular<Upper|UnitDiagBit, Derived> upperWithUnitDiag(void) const;
const Triangular<Upper|NullDiagBit, Derived> upperWithNullDiag(void) const;
Triangular<Lower, Derived> lower(void);
const Triangular<Lower, Derived> lower(void) const;
const Triangular<Lower|UnitDiagBit, Derived> lowerWithUnitDiag(void) const;
const Triangular<Lower|NullDiagBit, Derived> lowerWithNullDiag(void) const;
bool isUpper(RealScalar prec = precision<Scalar>()) const;
bool isLower(RealScalar prec = precision<Scalar>()) const;
//@}
/** \name LU module
*
* \code #include <Eigen/LU> \endcode
@@ -529,6 +545,14 @@ template<typename Derived> class MatrixBase
Scalar determinant() const;
//@}
/** \name QR module
*
* \code #include <Eigen/QR> \endcode
*/
//@{
const QR<typename ei_eval<Derived>::type> qr() const;
//@}
private:
PacketScalar _packetCoeff(int , int) const { ei_internal_assert(false && "_packetCoeff not defined"); }