IMatrix.cpp File Reference

#include "capd/intervals/lib.h"
#include "capd/vectalg/Dimension.h"
#include "capd/vectalg/Vector.hpp"
#include "capd/vectalg/Matrix.hpp"
#include "capd/vectalg/Matrix_Interval.hpp"
#include "capd/vectalg/Vector_Interval.hpp"

Namespaces
	capd
	capd::vectalg
	capd::matrixAlgorithms
	Matrix algorithms: Gauss elimination, orthonormalization, QR decomposition etc.

Typedefs
typedef Matrix< capd::DInterval, 0, 0 >	capd::vectalg::IMatrix
typedef Matrix< capd::DInterval::BoundType, 0, 0 >	capd::vectalg::DMatrix

Functions
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::abs< capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator-<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator+<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator-<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Vector< capd::DInterval, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const capd::DInterval &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const capd::DInterval &, const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator/<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const capd::DInterval &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator+<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const capd::DInterval &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::operator-<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const capd::DInterval &)
template bool	capd::vectalg::operator<<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template bool	capd::vectalg::operator<=< capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::Transpose< capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &)
template std::ostream &	capd::vectalg::operator<<< capd::DInterval, 0, 0 > (std::ostream &, const Matrix< capd::DInterval, 0, 0 > &)
template void	capd::vectalg::matrixByVector (const Matrix< capd::DInterval, 0, 0 > &, const Vector< capd::DInterval, 0 > &, Vector< capd::DInterval, 0 > &)
template void	capd::vectalg::matrixByMatrix (const Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &, Matrix< capd::DInterval, 0, 0 > &)
template void	capd::vectalg::subtractObjects (const Matrix< capd::DInterval, 0, 0 > &v1, const Matrix< capd::DInterval, 0, 0 > &v2, Matrix< capd::DInterval, 0, 0 > &result)
template void	capd::vectalg::addObjects (const Matrix< capd::DInterval, 0, 0 > &v1, const Matrix< capd::DInterval, 0, 0 > &v2, Matrix< capd::DInterval, 0, 0 > &result)
template Vector< capd::DInterval, 0 > &	capd::vectalg::addAssignMatrixByVector (Vector< capd::DInterval, 0 > &u, const Matrix< capd::DInterval, 0, 0 > &A, const Vector< capd::DInterval, 0 > &v)
template Vector< capd::DInterval, 0 > &	capd::vectalg::subtractAssignMatrixByVector (Vector< capd::DInterval, 0 > &u, const Matrix< capd::DInterval, 0, 0 > &A, const Vector< capd::DInterval, 0 > &v)
template Matrix< capd::DInterval, 0, 0 > &	capd::vectalg::addAssignObjectObject (Matrix< capd::DInterval, 0, 0 > &, const Matrix< capd::DInterval, 0, 0 > &)
template void	capd::vectalg::split< IMatrix, IMatrix > (IMatrix &, IMatrix &)
template void	capd::vectalg::split< IMatrix, DMatrix > (const IMatrix &, DMatrix &, IMatrix &)
template IMatrix	capd::vectalg::midMatrix< IMatrix > (const IMatrix &)
template bool	capd::vectalg::intersection< IMatrix, IMatrix, IMatrix > (const IMatrix &, const IMatrix &, IMatrix &)
template IMatrix	capd::vectalg::intervalHull< IMatrix > (const IMatrix &A, const IMatrix &B)
template capd::DInterval	capd::vectalg::maxDiam< IMatrix > (const IMatrix &v)
template double	capd::vectalg::maxWidth< IMatrix > (const IMatrix &v)
template IMatrix	capd::vectalg::diam< IMatrix > (const IMatrix &v)
template DMatrix	capd::vectalg::widths< IMatrix > (const IMatrix &v)
template bool	capd::vectalg::subset< IMatrix > (const IMatrix &v1, const IMatrix &v2)
template bool	capd::vectalg::subsetInterior< IMatrix > (const IMatrix &v1, const IMatrix &v2)
template IMatrix	capd::vectalg::intersection< IMatrix > (const IMatrix &v1, const IMatrix &v2)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0 > (const capd::DInterval &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const capd::DInterval &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator/<capd::DInterval, 0 > (const RowVector< capd::DInterval, 0 > &, const capd::DInterval &)
template std::ostream &	capd::vectalg::operator<<< capd::DInterval, 0 > (std::ostream &, const RowVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator+<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const Vector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const Vector< capd::DInterval, 0 > &)
template capd::DInterval	capd::vectalg::operator*<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator-<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0, 0 > (const Matrix< capd::DInterval, 0, 0 > &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0 > (const capd::DInterval &, const ColumnVector< capd::DInterval, 0 > &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator*<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const capd::DInterval &)
template Vector< capd::DInterval, 0 >	capd::vectalg::operator/<capd::DInterval, 0 > (const ColumnVector< capd::DInterval, 0 > &, const capd::DInterval &)
template std::ostream &	capd::vectalg::operator<<< capd::DInterval, 0 > (std::ostream &, const ColumnVector< capd::DInterval, 0 > &)
template IMatrix &	capd::vectalg::assignFromScalar (IMatrix &, capd::DInterval const &)
template IMatrix	capd::vectalg::multiplyObjectScalar (IMatrix const &, capd::DInterval const &)
template Matrix< capd::DInterval, 0, 0 > &	capd::vectalg::multiplyAssignObjectScalarAddObject (Matrix< capd::DInterval, 0, 0 > &, capd::DInterval const &, Matrix< capd::DInterval, 0, 0 > const &)
template bool	capd::vectalg::equal (capd::vectalg::Matrix< capd::DInterval, 0, 0 > const &, capd::vectalg::Matrix< capd::DInterval, 0, 0 > const &)
template Matrix< capd::DInterval, 0, 0 >	capd::vectalg::divideObjectScalar (Matrix< capd::DInterval, 0, 0 > const &, capd::DInterval const &)
template vectalg::Matrix< capd::DInterval, 0, 0 >	capd::matrixAlgorithms::krawczykInverse< vectalg::Matrix< capd::DInterval, 0, 0 > > (const vectalg::Matrix< capd::DInterval, 0, 0 > &)

Detailed Description

Author

The CAPD Group