Base class for triangular part in a matrix. More...
#include <TriangularMatrix.h>

| Public Member Functions | |
| const TriangularView< const typename MatrixType::AdjointReturnType, TransposeMode > | adjoint () const | 
| template<typename ProductDerived , typename _Lhs , typename _Rhs > | |
| TriangularView< MatrixType, UpLo > & | assignProduct (const ProductBase< ProductDerived, _Lhs, _Rhs > &prod, const Scalar &alpha) | 
| Scalar | coeff (Index row, Index col) const | 
| Scalar & | coeffRef (Index row, Index col) | 
| Index | cols () const | 
| TriangularView< MatrixConjugateReturnType, Mode > | conjugate () | 
| const TriangularView< MatrixConjugateReturnType, Mode > | conjugate () const | 
| Scalar | determinant () const | 
| void | fill (const Scalar &value) | 
| Index | innerStride () const | 
| template<typename OtherDerived > | |
| void | lazyAssign (const TriangularBase< OtherDerived > &other) | 
| template<typename OtherDerived > | |
| void | lazyAssign (const MatrixBase< OtherDerived > &other) | 
| const MatrixTypeNestedCleaned & | nestedExpression () const | 
| MatrixTypeNestedCleaned & | nestedExpression () | 
| template<typename OtherDerived > | |
| TriangularProduct< Mode, true, MatrixType, false, OtherDerived, OtherDerived::IsVectorAtCompileTime > | operator* (const MatrixBase< OtherDerived > &rhs) const | 
| TriangularView & | operator*= (const typename internal::traits< MatrixType >::Scalar &other) | 
| template<typename Other > | |
| TriangularView & | operator+= (const DenseBase< Other > &other) | 
| template<typename ProductDerived , typename Lhs , typename Rhs > | |
| EIGEN_STRONG_INLINE TriangularView & | operator+= (const ProductBase< ProductDerived, Lhs, Rhs > &other) | 
| template<typename ProductDerived > | |
| EIGEN_STRONG_INLINE TriangularView & | operator+= (const ScaledProduct< ProductDerived > &other) | 
| template<typename Other > | |
| TriangularView & | operator-= (const DenseBase< Other > &other) | 
| template<typename ProductDerived , typename Lhs , typename Rhs > | |
| EIGEN_STRONG_INLINE TriangularView & | operator-= (const ProductBase< ProductDerived, Lhs, Rhs > &other) | 
| template<typename ProductDerived > | |
| EIGEN_STRONG_INLINE TriangularView & | operator-= (const ScaledProduct< ProductDerived > &other) | 
| TriangularView & | operator/= (const typename internal::traits< MatrixType >::Scalar &other) | 
| template<typename OtherDerived > | |
| TriangularView & | operator= (const TriangularBase< OtherDerived > &other) | 
| template<typename OtherDerived > | |
| TriangularView & | operator= (const MatrixBase< OtherDerived > &other) | 
| TriangularView & | operator= (const TriangularView &other) | 
| template<typename ProductDerived , typename Lhs , typename Rhs > | |
| EIGEN_STRONG_INLINE TriangularView & | operator= (const ProductBase< ProductDerived, Lhs, Rhs > &other) | 
| template<typename ProductDerived > | |
| EIGEN_STRONG_INLINE TriangularView & | operator= (const ScaledProduct< ProductDerived > &other) | 
| template<typename OtherDerived > | |
| TriangularView< MatrixType, Mode > & | operator= (const MatrixBase< OtherDerived > &other) | 
| template<typename OtherDerived > | |
| TriangularView< MatrixType, Mode > & | operator= (const TriangularBase< OtherDerived > &other) | 
| Index | outerStride () const | 
| Index | rows () const | 
| const SelfAdjointView< MatrixTypeNestedNonRef, Mode > | selfadjointView () const | 
| SelfAdjointView< MatrixTypeNestedNonRef, Mode > | selfadjointView () | 
| TriangularView & | setConstant (const Scalar &value) | 
| TriangularView & | setOnes () | 
| TriangularView & | setZero () | 
| template<int Side, typename Other > | |
| const internal::triangular_solve_retval< Side, TriangularView< Derived, Mode >, Other > | solve (const MatrixBase< Other > &other) const | 
| template<int Side, typename Other > | |
| const internal::triangular_solve_retval< Side, TriangularView, Other > | solve (const MatrixBase< Other > &other) const | 
| template<typename Other > | |
| const internal::triangular_solve_retval< OnTheLeft, TriangularView, Other > | solve (const MatrixBase< Other > &other) const | 
| template<int Side, typename OtherDerived > | |
| void | solveInPlace (const MatrixBase< OtherDerived > &other) const | 
| template<typename OtherDerived > | |
| void | solveInPlace (const MatrixBase< OtherDerived > &other) const | 
| template<typename OtherDerived > | |
| void | swap (TriangularBase< OtherDerived > const &other) | 
| template<typename OtherDerived > | |
| void | swap (MatrixBase< OtherDerived > const &other) | 
| TriangularView< Transpose< MatrixType >, TransposeMode > | transpose () | 
| const TriangularView< Transpose< MatrixType >, TransposeMode > | transpose () const | 
| TriangularView (const MatrixType &matrix) | |
|  Public Member Functions inherited from Eigen::TriangularBase< TriangularView< _MatrixType, _Mode > > | |
| Scalar | coeff (Index row, Index col) const | 
| Scalar & | coeffRef (Index row, Index col) | 
| Index | cols () const | 
| EIGEN_STRONG_INLINE void | copyCoeff (Index row, Index col, Other &other) | 
| const TriangularView< _MatrixType, _Mode > & | derived () const | 
| TriangularView< _MatrixType, _Mode > & | derived () | 
| void | evalTo (MatrixBase< DenseDerived > &other) const | 
| void | evalToLazy (MatrixBase< DenseDerived > &other) const | 
| Index | innerStride () const | 
| Scalar | operator() (Index row, Index col) const | 
| Scalar & | operator() (Index row, Index col) | 
| Index | outerStride () const | 
| Index | rows () const | 
| DenseMatrixType | toDenseMatrix () const | 
| TriangularBase () | |
|  Public Member Functions inherited from Eigen::EigenBase< Derived > | |
| template<typename Dest > | |
| void | addTo (Dest &dst) const | 
| template<typename Dest > | |
| void | applyThisOnTheLeft (Dest &dst) const | 
| template<typename Dest > | |
| void | applyThisOnTheRight (Dest &dst) const | 
| Index | cols () const | 
| Derived & | const_cast_derived () const | 
| const Derived & | const_derived () const | 
| Derived & | derived () | 
| const Derived & | derived () const | 
| template<typename Dest > | |
| void | evalTo (Dest &dst) const | 
| Index | rows () const | 
| Index | size () const | 
| template<typename Dest > | |
| void | subTo (Dest &dst) const | 
| Protected Types | |
| typedef internal::remove_all< typename MatrixType::ConjugateReturnType >::type | MatrixConjugateReturnType | 
| typedef internal::traits< TriangularView >::MatrixTypeNested | MatrixTypeNested | 
| typedef internal::traits< TriangularView >::MatrixTypeNestedCleaned | MatrixTypeNestedCleaned | 
| typedef internal::traits< TriangularView >::MatrixTypeNestedNonRef | MatrixTypeNestedNonRef | 
| Protected Member Functions | |
| template<typename ProductDerived , typename Lhs , typename Rhs > | |
| EIGEN_STRONG_INLINE TriangularView & | assignProduct (const ProductBase< ProductDerived, Lhs, Rhs > &prod, const Scalar &alpha) | 
|  Protected Member Functions inherited from Eigen::TriangularBase< TriangularView< _MatrixType, _Mode > > | |
| void | check_coordinates (Index row, Index col) const | 
| void | check_coordinates_internal (Index, Index) const | 
| Protected Attributes | |
| MatrixTypeNested | m_matrix | 
| Friends | |
| template<typename OtherDerived > | |
| TriangularProduct< Mode, false, OtherDerived, OtherDerived::IsVectorAtCompileTime, MatrixType, false > | operator* (const MatrixBase< OtherDerived > &lhs, const TriangularView &rhs) | 
Base class for triangular part in a matrix.
| MatrixType | the type of the object in which we are taking the triangular part | 
| Mode | the kind of triangular matrix expression to construct. Can be Upper, Lower, UnitUpper, UnitLower, StrictlyUpper, or StrictlyLower. This is in fact a bit field; it must have either Upper or Lower, and additionnaly it may have UnitDiag or ZeroDiag or neither. | 
This class represents a triangular part of a matrix, not necessarily square. Strictly speaking, for rectangular matrices one should speak of "trapezoid" parts. This class is the return type of MatrixBase::triangularView() and most of the time this is the only way it is used.
Definition at line 158 of file TriangularMatrix.h.
| typedef TriangularBase<TriangularView> Eigen::TriangularView< _MatrixType, _Mode >::Base | 
Definition at line 163 of file TriangularMatrix.h.
| typedef internal::traits<TriangularView>::DenseMatrixType Eigen::TriangularView< _MatrixType, _Mode >::DenseMatrixType | 
Definition at line 167 of file TriangularMatrix.h.
| typedef internal::traits<TriangularView>::Index Eigen::TriangularView< _MatrixType, _Mode >::Index | 
Definition at line 182 of file TriangularMatrix.h.
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Definition at line 175 of file TriangularMatrix.h.
| typedef _MatrixType Eigen::TriangularView< _MatrixType, _Mode >::MatrixType | 
Definition at line 166 of file TriangularMatrix.h.
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Definition at line 171 of file TriangularMatrix.h.
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Definition at line 173 of file TriangularMatrix.h.
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Definition at line 172 of file TriangularMatrix.h.
| typedef DenseMatrixType Eigen::TriangularView< _MatrixType, _Mode >::PlainObject | 
Definition at line 168 of file TriangularMatrix.h.
| typedef internal::traits<TriangularView>::Scalar Eigen::TriangularView< _MatrixType, _Mode >::Scalar | 
Definition at line 164 of file TriangularMatrix.h.
| typedef internal::traits<TriangularView>::StorageKind Eigen::TriangularView< _MatrixType, _Mode >::StorageKind | 
Definition at line 181 of file TriangularMatrix.h.
| anonymous enum | 
| Enumerator | |
|---|---|
| Mode | |
| TransposeMode | |
Definition at line 184 of file TriangularMatrix.h.
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Definition at line 192 of file TriangularMatrix.h.
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Definition at line 264 of file TriangularMatrix.h.
| TriangularView<MatrixType,UpLo>& Eigen::TriangularView< _MatrixType, _Mode >::assignProduct | ( | const ProductBase< ProductDerived, _Lhs, _Rhs > & | prod, | 
| const Scalar & | alpha | ||
| ) | 
Definition at line 269 of file GeneralMatrixMatrixTriangular.h.
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Definition at line 222 of file TriangularMatrix.h.
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Definition at line 231 of file TriangularMatrix.h.
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Definition at line 196 of file TriangularMatrix.h.
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Definition at line 257 of file TriangularMatrix.h.
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Definition at line 260 of file TriangularMatrix.h.
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Definition at line 368 of file TriangularMatrix.h.
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Definition at line 210 of file TriangularMatrix.h.
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Definition at line 198 of file TriangularMatrix.h.
| void Eigen::TriangularView< MatrixType, Mode >::lazyAssign | ( | const TriangularBase< OtherDerived > & | other | ) | 
Definition at line 647 of file TriangularMatrix.h.
| void Eigen::TriangularView< MatrixType, Mode >::lazyAssign | ( | const MatrixBase< OtherDerived > & | other | ) | 
Definition at line 610 of file TriangularMatrix.h.
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Definition at line 237 of file TriangularMatrix.h.
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Definition at line 238 of file TriangularMatrix.h.
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Efficient triangular matrix times vector/matrix product
Definition at line 282 of file TriangularMatrix.h.
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Definition at line 205 of file TriangularMatrix.h.
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Definition at line 201 of file TriangularMatrix.h.
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Definition at line 407 of file TriangularMatrix.h.
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Definition at line 203 of file TriangularMatrix.h.
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Definition at line 393 of file TriangularMatrix.h.
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Definition at line 413 of file TriangularMatrix.h.
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Definition at line 207 of file TriangularMatrix.h.
| TriangularView& Eigen::TriangularView< _MatrixType, _Mode >::operator= | ( | const TriangularBase< OtherDerived > & | other | ) | 
Assigns a triangular matrix to a triangular part of a dense matrix
| TriangularView& Eigen::TriangularView< _MatrixType, _Mode >::operator= | ( | const MatrixBase< OtherDerived > & | other | ) | 
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Definition at line 247 of file TriangularMatrix.h.
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Definition at line 380 of file TriangularMatrix.h.
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Definition at line 400 of file TriangularMatrix.h.
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Definition at line 594 of file TriangularMatrix.h.
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Definition at line 631 of file TriangularMatrix.h.
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Definition at line 344 of file TriangularMatrix.h.
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Definition at line 349 of file TriangularMatrix.h.
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Definition at line 212 of file TriangularMatrix.h.
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Definition at line 217 of file TriangularMatrix.h.
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Definition at line 215 of file TriangularMatrix.h.
| const internal::triangular_solve_retval<Side,TriangularView<Derived,Mode>,Other> Eigen::TriangularView< _MatrixType, _Mode >::solve | ( | const MatrixBase< Other > & | other | ) | const | 
*this with other, *this being triangular.This function computes the inverse-matrix matrix product inverse(*this) * other if Side==OnTheLeft (the default), or the right-inverse-multiply other * inverse(*this) if Side==OnTheRight.
The matrix *this must be triangular and invertible (i.e., all the coefficients of the diagonal must be non zero). It works as a forward (resp. backward) substitution if *this is an upper (resp. lower) triangular matrix.
Example:
Output:
This function returns an expression of the inverse-multiply and can works in-place if it is assigned to the same matrix or vector other.
For users coming from BLAS, this function (and more specifically solveInPlace()) offer all the operations supported by the *TRSV and *TRSM BLAS routines.
Definition at line 216 of file SolveTriangular.h.
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Definition at line 337 of file TriangularMatrix.h.
| void Eigen::TriangularView< MatrixType, Mode >::solveInPlace | ( | const MatrixBase< OtherDerived > & | _other | ) | const | 
"in-place" version of TriangularView::solve() where the result is written in other
See TriangularView:solve() for the details.
Definition at line 174 of file SolveTriangular.h.
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Definition at line 341 of file TriangularMatrix.h.
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Definition at line 356 of file TriangularMatrix.h.
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Definition at line 362 of file TriangularMatrix.h.
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Definition at line 268 of file TriangularMatrix.h.
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Definition at line 274 of file TriangularMatrix.h.
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Efficient vector/matrix times triangular matrix product
Definition at line 292 of file TriangularMatrix.h.
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Definition at line 423 of file TriangularMatrix.h.