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Eigen::SolverBase< Derived > Class Template Reference

A base class for matrix decomposition and solvers. More...

#include <SolverBase.h>

Inheritance diagram for Eigen::SolverBase< Derived >:
Eigen::EigenBase< Derived > Eigen::ColPivHouseholderQR< MatrixType > Eigen::ColPivHouseholderQR< TransposeTypeWithSameStorageOrder > Eigen::FullPivHouseholderQR< TransposeTypeWithSameStorageOrder > Eigen::FullPivHouseholderQR< MatrixType > Eigen::HouseholderQR< TransposeTypeWithSameStorageOrder > Eigen::HouseholderQR< MatrixType > Eigen::PartialPivLU< Matrix< Scalar, Dynamic, Dynamic > > Eigen::SVDBase< BDCSVD< _MatrixType > > Eigen::SVDBase< JacobiSVD< _MatrixType, QRPreconditioner > >

Public Types

enum  {
  RowsAtCompileTime = internal::traits<Derived>::RowsAtCompileTime , ColsAtCompileTime = internal::traits<Derived>::ColsAtCompileTime , SizeAtCompileTime , MaxRowsAtCompileTime = internal::traits<Derived>::MaxRowsAtCompileTime ,
  MaxColsAtCompileTime = internal::traits<Derived>::MaxColsAtCompileTime , MaxSizeAtCompileTime , IsVectorAtCompileTime , NumDimensions = int(MaxSizeAtCompileTime) == 1 ? 0 : bool(IsVectorAtCompileTime) ? 1 : 2
}
 
typedef EigenBase< Derived > Base
 
typedef internal::traits< Derived >::Scalar Scalar
 
typedef Scalar CoeffReturnType
 
typedef internal::add_const< Transpose< constDerived > >::type ConstTransposeReturnType
 
typedef internal::conditional< NumTraits< Scalar >::IsComplex, CwiseUnaryOp< internal::scalar_conjugate_op< Scalar >, ConstTransposeReturnType >, ConstTransposeReturnType >::type AdjointReturnType
 
- Public Types inherited from Eigen::EigenBase< Derived >
typedef Eigen::Index Index
 The interface type of indices.
 
typedef internal::traits< Derived >::StorageKind StorageKind
 

Public Member Functions

 SolverBase ()
 
 ~SolverBase ()
 
template<typename Rhs >
const Solve< Derived, Rhs > solve (const MatrixBase< Rhs > &b) const
 
ConstTransposeReturnType transpose () const
 
AdjointReturnType adjoint () const
 
EIGEN_DEVICE_FUNC Derived & derived ()
 
EIGEN_DEVICE_FUNC const Derived & derived () const
 
- Public Member Functions inherited from Eigen::EigenBase< Derived >
EIGEN_DEVICE_FUNC Derived & derived ()
 
EIGEN_DEVICE_FUNC const Derived & derived () const
 
EIGEN_DEVICE_FUNC Derived & const_cast_derived () const
 
EIGEN_DEVICE_FUNC const Derived & const_derived () const
 
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index rows () const EIGEN_NOEXCEPT
 
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index cols () const EIGEN_NOEXCEPT
 
EIGEN_DEVICE_FUNC EIGEN_CONSTEXPR Index size () const EIGEN_NOEXCEPT
 
template<typename Dest >
EIGEN_DEVICE_FUNC void evalTo (Dest &dst) const
 
template<typename Dest >
EIGEN_DEVICE_FUNC void addTo (Dest &dst) const
 
template<typename Dest >
EIGEN_DEVICE_FUNC void subTo (Dest &dst) const
 
template<typename Dest >
EIGEN_DEVICE_FUNC void applyThisOnTheRight (Dest &dst) const
 
template<typename Dest >
EIGEN_DEVICE_FUNC void applyThisOnTheLeft (Dest &dst) const
 

Protected Member Functions

template<bool Transpose_, typename Rhs >
void _check_solve_assertion (const Rhs &b) const
 

Friends

template<typename Derived_ >
struct internal::solve_assertion
 

Detailed Description

template<typename Derived>
class Eigen::SolverBase< Derived >

A base class for matrix decomposition and solvers.

Template Parameters
Derivedthe actual type of the decomposition/solver.

Any matrix decomposition inheriting this base class provide the following API:

MatrixType A, b, x;
DecompositionType dec(A);
x = dec.solve(b); // solve A * x = b
x = dec.transpose().solve(b); // solve A^T * x = b
x = dec.adjoint().solve(b); // solve A' * x = b
b
Scalar * b
Definition benchVecAdd.cpp:17
A
Matrix< SCALARA, Dynamic, Dynamic, opt_A > A
Definition bench_gemm.cpp:48
MatrixType
MatrixXf MatrixType
Definition benchmark-blocking-sizes.cpp:52
Eigen::Matrix
The matrix class, also used for vectors and row-vectors.
Definition Matrix.h:180
x
set noclip points set clip one set noclip two set bar set border lt lw set xdata set ydata set zdata set x2data set y2data set boxwidth set dummy x
Definition gnuplot_common_settings.hh:12
Warning
Currently, any other usage of transpose() and adjoint() are not supported and will produce compilation errors.
See also
class PartialPivLU, class FullPivLU, class HouseholderQR, class ColPivHouseholderQR, class FullPivHouseholderQR, class CompleteOrthogonalDecomposition, class LLT, class LDLT, class SVDBase

Member Typedef Documentation

◆ AdjointReturnType

template<typename Derived >
typedef internal::conditional<NumTraits<Scalar>::IsComplex,CwiseUnaryOp<internal::scalar_conjugate_op<Scalar>,ConstTransposeReturnType>,ConstTransposeReturnType>::type Eigen::SolverBase< Derived >::AdjointReturnType

◆ Base

template<typename Derived >
typedef EigenBase<Derived> Eigen::SolverBase< Derived >::Base

◆ CoeffReturnType

template<typename Derived >
typedef Scalar Eigen::SolverBase< Derived >::CoeffReturnType

◆ ConstTransposeReturnType

template<typename Derived >
typedef internal::add_const<Transpose<constDerived>>::type Eigen::SolverBase< Derived >::ConstTransposeReturnType

◆ Scalar

template<typename Derived >
typedef internal::traits<Derived>::Scalar Eigen::SolverBase< Derived >::Scalar

Member Enumeration Documentation

◆ anonymous enum

template<typename Derived >
anonymous enum
Enumerator
RowsAtCompileTime 
ColsAtCompileTime 
SizeAtCompileTime 
MaxRowsAtCompileTime 
MaxColsAtCompileTime 
MaxSizeAtCompileTime 
IsVectorAtCompileTime 
NumDimensions 

Constructor & Destructor Documentation

◆ SolverBase()

template<typename Derived >
Eigen::SolverBase< Derived >::SolverBase ( )
inline

Default constructor

◆ ~SolverBase()

template<typename Derived >
Eigen::SolverBase< Derived >::~SolverBase ( )
inline

Member Function Documentation

◆ _check_solve_assertion()

template<typename Derived >
template<bool Transpose_, typename Rhs >
void Eigen::SolverBase< Derived >::_check_solve_assertion ( const Rhs &  b) const
inlineprotected

◆ adjoint()

template<typename Derived >
AdjointReturnType Eigen::SolverBase< Derived >::adjoint ( ) const
inline
Returns
an expression of the adjoint of the factored matrix

A typical usage is to solve for the adjoint problem A' x = b:

x = dec.adjoint().solve(b);

For real scalar types, this function is equivalent to transpose().

See also
transpose(), solve()

◆ derived() [1/2]

template<typename Derived >
EIGEN_DEVICE_FUNC Derived & Eigen::EigenBase< Derived >::derived ( )
inline
Returns
a reference to the derived object

◆ derived() [2/2]

template<typename Derived >
EIGEN_DEVICE_FUNC const Derived & Eigen::EigenBase< Derived >::derived ( ) const
inline
Returns
a const reference to the derived object

◆ solve()

template<typename Derived >
template<typename Rhs >
const Solve< Derived, Rhs > Eigen::SolverBase< Derived >::solve ( const MatrixBase< Rhs > &  b) const
inline
Returns
an expression of the solution x of $ A x = b $ using the current decomposition of A.

◆ transpose()

template<typename Derived >
ConstTransposeReturnType Eigen::SolverBase< Derived >::transpose ( ) const
inline
Returns
an expression of the transposed of the factored matrix.

A typical usage is to solve for the transposed problem A^T x = b:

x = dec.transpose().solve(b);
See also
adjoint(), solve()

Friends And Related Symbol Documentation

◆ internal::solve_assertion

template<typename Derived >
template<typename Derived_ >
friend struct internal::solve_assertion
friend
The documentation for this class was generated from the following file:
Generated by doxygen 1.9.8