Eigen::SolverBase< Derived > Class Template Reference

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

#include <SolverBase.h>

Inheritance diagram for Eigen::SolverBase< Derived >:

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 }
typedef EigenBase< Derived >	Base
typedef internal::traits< Derived >::Scalar	Scalar
typedef Scalar	CoeffReturnType
typedef internal::add_const< Transpose< const Derived > >::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. More...
typedef internal::traits< Derived >::StorageKind	StorageKind

Public Member Functions
	SolverBase ()
	Default constructor.
template<typename Rhs >
const Solve< Derived, Rhs >	solve (const MatrixBase< Rhs > &b) const
ConstTransposeReturnType	transpose () const
AdjointReturnType	adjoint () 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 Index	rows () const
EIGEN_DEVICE_FUNC Index	cols () const
EIGEN_DEVICE_FUNC Index	size () const
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

Detailed Description

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

A base class for matrix decomposition and solvers.

Template Parameters

Derived

the 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

Warning

Currently, any other usage of transpose() and adjoint() are not supported and will produce compilation errors.

See also

class PartialPivLU, class FullPivLU

Member Function Documentation

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()

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()

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The documentation for this class was generated from the following file:

• third-party-libs/eigen3/Eigen/src/Core/SolverBase.h