Class for the LAPACK QZ eigensolver. More...

#include <eigen_solver.h>

Inheritance diagram for oomph::LAPACK_QZ:

Public Member Functions
	LAPACK_QZ ()
	Empty constructor. More...

	LAPACK_QZ (const LAPACK_QZ &)=delete
	Broken copy constructor. More...

void	operator= (const LAPACK_QZ &)=delete
	Broken assignment operator. More...

virtual	~LAPACK_QZ ()
	Empty desctructor. More...

void	solve_eigenproblem (Problem *const &problem_pt, const int &n_eval, Vector< std::complex< double >> &alpha, Vector< double > &beta, Vector< DoubleVector > &eigenvector_real, Vector< DoubleVector > &eigenvector_imag, const bool &do_adjoint_problem=false)
	Solve the real eigenproblem that is assembled by elements in a mesh in a Problem object. Note that the assembled matrices include the shift and are real. The eigenvalues and eigenvectors are, in general, complex. Eigenvalues may be infinite and are therefore returned as $\lambda_i = \alpha_i / \beta_i$ where $\alpha_i$ is complex while $\beta_i$ is real. The actual eigenvalues may then be computed by doing the division, checking for zero betas to avoid NaNs. There's a convenience wrapper to this function that simply computes these eigenvalues regardless. That version may die in NaN checking is enabled (via the fenv.h header and the associated feenable function). At least n_eval eigenvalues are computed. More...

void	find_eigenvalues (const ComplexMatrixBase &A, const ComplexMatrixBase &M, Vector< std::complex< double >> &eigenvalue, Vector< Vector< std::complex< double >>> &eigenvector)
	Find the eigenvalues of a complex generalised eigenvalue problem specified by $Ax = \lambda Mx$ . Note: the (real) shift that's specifiable via the EigenSolver base class is ignored here. A warning gets issued if it's set to a nonzero value. More...

double	tolerance_for_ccness_check () const
	Access to tolerance for checking complex conjugateness of eigenvalues (const version) More...

double &	tolerance_for_ccness_check ()
	Access to tolerance for checking complex conjugateness of eigenvalues. More...

Public Member Functions inherited from oomph::EigenSolver
	EigenSolver ()
	Empty constructor. More...

	EigenSolver (const EigenSolver &)
	Empty copy constructor. More...

virtual	~EigenSolver ()
	Empty destructor. More...

virtual void	solve_eigenproblem (Problem *const &problem_pt, const int &n_eval, Vector< std::complex< double >> &eigenvalue, Vector< DoubleVector > &eigenvector_real, Vector< DoubleVector > &eigenvector_imag, const bool &do_adjoint_problem=false)
	Solve the real eigenproblem that is assembled by elements in a mesh in a Problem object. Note that the assembled matrices include the shift and are real. The eigenvalues and eigenvectors are, in general, complex, and the eigenvalues can be NaNs or Infs. This function is therefore merely provided as a convenience, to be used if the user is confident that NaNs don't arise (e.g. in Arnoldi based solvers where typically only a small number of (finite) eigenvalues are computed), or if the users is happy to deal with NaNs in the subsequent post-processing. Function is virtual so it can be overloaded for Arnoldi type solvers that compute the (finite) eigenvalues directly At least n_eval eigenvalues are computed. More...

void	set_shift (const double &shift_value)
	Set the value of the (real) shift. More...

const double &	get_shift () const
	Return the value of the (real) shift (const version) More...

Public Member Functions inherited from oomph::DistributableLinearAlgebraObject
	DistributableLinearAlgebraObject ()
	Default constructor - create a distribution. More...

	DistributableLinearAlgebraObject (const DistributableLinearAlgebraObject &matrix)=delete
	Broken copy constructor. More...

void	operator= (const DistributableLinearAlgebraObject &)=delete
	Broken assignment operator. More...

virtual	~DistributableLinearAlgebraObject ()
	Destructor. More...

LinearAlgebraDistribution *	distribution_pt () const
	access to the LinearAlgebraDistribution More...

unsigned	nrow () const
	access function to the number of global rows. More...

unsigned	nrow_local () const
	access function for the num of local rows on this processor. More...

unsigned	nrow_local (const unsigned &p) const
	access function for the num of local rows on this processor. More...

unsigned	first_row () const
	access function for the first row on this processor More...

unsigned	first_row (const unsigned &p) const
	access function for the first row on this processor More...

bool	distributed () const
	distribution is serial or distributed More...

bool	distribution_built () const
	if the communicator_pt is null then the distribution is not setup then false is returned, otherwise return true More...

void	build_distribution (const LinearAlgebraDistribution *const dist_pt)
	setup the distribution of this distributable linear algebra object More...

void	build_distribution (const LinearAlgebraDistribution &dist)
	setup the distribution of this distributable linear algebra object More...

Private Member Functions
void	solve_eigenproblem_helper (Problem *const &problem_pt, const int &n_eval, Vector< std::complex< double >> &alpha, Vector< double > &beta, Vector< DoubleVector > &eigenvector)
	Helper function called from "raw" lapack code. More...

void	DGGEV_error (const int &info, const int &n)
	Provide diagonstic for DGGEV error return. More...

void	ZGGEV_error (const int &info, const int &n)
	Provide diagonstic for ZGGEV error return. More...

Private Attributes
double	Tolerance_for_ccness_check
	Tolerance for checking complex conjugateness of eigenvalues. More...

Additional Inherited Members
Protected Member Functions inherited from oomph::DistributableLinearAlgebraObject
void	clear_distribution ()
	clear the distribution of this distributable linear algebra object More...

Protected Attributes inherited from oomph::EigenSolver
double	Sigma_real
	Double value that represents the real part of the shift in shifted eigensolvers. More...

Detailed Description

Class for the LAPACK QZ eigensolver.

Definition at line 157 of file eigen_solver.h.

Constructor & Destructor Documentation

◆ LAPACK_QZ() [1/2]

oomph::LAPACK_QZ::LAPACK_QZ ( )

inline

Empty constructor.

Definition at line 161 of file eigen_solver.h.

◆ LAPACK_QZ() [2/2]

oomph::LAPACK_QZ::LAPACK_QZ ( const LAPACK_QZ & )

delete

Broken copy constructor.

◆ ~LAPACK_QZ()

virtual oomph::LAPACK_QZ::~LAPACK_QZ ( )

inlinevirtual

Empty desctructor.

Definition at line 170 of file eigen_solver.h.

Member Function Documentation

◆ DGGEV_error()

void oomph::LAPACK_QZ::DGGEV_error	(	const int &	info,
		const int &	n
	)

inlineprivate

Provide diagonstic for DGGEV error return.

Definition at line 227 of file eigen_solver.h.

Referenced by solve_eigenproblem_helper().

◆ find_eigenvalues()

void oomph::LAPACK_QZ::find_eigenvalues	(	const ComplexMatrixBase &	A,
		const ComplexMatrixBase &	M,
		Vector< std::complex< double >> &	eigenvalue,
		Vector< Vector< std::complex< double >>> &	eigenvector
	)

Find the eigenvalues of a complex generalised eigenvalue problem specified by $Ax = \lambda Mx$ . Note: the (real) shift that's specifiable via the EigenSolver base class is ignored here. A warning gets issued if it's set to a nonzero value.

Use LAPACK to solve a complex eigen problem specified by the given matrices. Note: the (real) shift that's specifiable via the EigenSolver base class is ignored here. A warning gets issued if it's set to a nonzero value.

Definition at line 401 of file eigen_solver.cc.

References i, oomph::ComplexMatrixBase::nrow(), oomph::EigenSolver::Sigma_real, and ZGGEV_error().

◆ operator=()

void oomph::LAPACK_QZ::operator= ( const LAPACK_QZ & )

delete

Broken assignment operator.

◆ solve_eigenproblem()

void oomph::LAPACK_QZ::solve_eigenproblem	(	Problem *const &	problem_pt,
		const int &	n_eval,
		Vector< std::complex< double >> &	alpha,
		Vector< double > &	beta,
		Vector< DoubleVector > &	eigenvector_real,
		Vector< DoubleVector > &	eigenvector_imag,
		const bool &	do_adjoint_problem = `false`
	)

virtual

Solve the real eigenproblem that is assembled by elements in a mesh in a Problem object. Note that the assembled matrices include the shift and are real. The eigenvalues and eigenvectors are, in general, complex. Eigenvalues may be infinite and are therefore returned as $\lambda_i = \alpha_i / \beta_i$ where $\alpha_i$ is complex while $\beta_i$ is real. The actual eigenvalues may then be computed by doing the division, checking for zero betas to avoid NaNs. There's a convenience wrapper to this function that simply computes these eigenvalues regardless. That version may die in NaN checking is enabled (via the fenv.h header and the associated feenable function). At least n_eval eigenvalues are computed.

Implements oomph::EigenSolver.

Definition at line 266 of file eigen_solver.cc.

References oomph::DistributableLinearAlgebraObject::distribution_pt(), oomph::Problem::ndof(), solve_eigenproblem_helper(), and Tolerance_for_ccness_check.

◆ solve_eigenproblem_helper()

void oomph::LAPACK_QZ::solve_eigenproblem_helper	(	Problem *const &	problem_pt,
		const int &	n_eval,
		Vector< std::complex< double >> &	alpha,
		Vector< double > &	beta,
		Vector< DoubleVector > &	eigenvector
	)

private

Helper function called from "raw" lapack code.

Use LAPACK QZ to solve the real eigenproblem that is assembled by elements in a mesh in a Problem object. Note that the assembled matrices include the shift and are real. The eigenvalues and eigenvectors are, in general, complex. Eigenvalues may be infinite and are therefore returned as $\lambda_i = \alpha_i / \beta_i$ where $\alpha_i$ is complex while $\beta_i$ is real. The actual eigenvalues may then be computed by doing the division, checking for zero betas to avoid NaNs. This is actually a helper function that stores re & imag parts of eigenvectors in a collection of real vectors; they are disentangled in the alternative version of this function that returns Vectors of complex vectors. At least n_eval eigenvalues are computed.

Definition at line 65 of file eigen_solver.cc.

References oomph::DistributableLinearAlgebraObject::build_distribution(), oomph::Problem::communicator_pt(), DGGEV_error(), oomph::DistributableLinearAlgebraObject::distribution_pt(), oomph::Problem::get_eigenproblem_matrices(), i, oomph::Problem::ndof(), and oomph::EigenSolver::Sigma_real.

Referenced by solve_eigenproblem().

◆ tolerance_for_ccness_check() [1/2]

double& oomph::LAPACK_QZ::tolerance_for_ccness_check ( )

inline

Access to tolerance for checking complex conjugateness of eigenvalues.

Definition at line 211 of file eigen_solver.h.

References Tolerance_for_ccness_check.

◆ tolerance_for_ccness_check() [2/2]

double oomph::LAPACK_QZ::tolerance_for_ccness_check ( ) const

inline

Access to tolerance for checking complex conjugateness of eigenvalues (const version)

Definition at line 204 of file eigen_solver.h.

References Tolerance_for_ccness_check.

◆ ZGGEV_error()

void oomph::LAPACK_QZ::ZGGEV_error	(	const int &	info,
		const int &	n
	)

inlineprivate

Provide diagonstic for ZGGEV error return.

Definition at line 266 of file eigen_solver.h.

Referenced by find_eigenvalues().

Member Data Documentation

◆ Tolerance_for_ccness_check

double oomph::LAPACK_QZ::Tolerance_for_ccness_check

private

Tolerance for checking complex conjugateness of eigenvalues.

Definition at line 304 of file eigen_solver.h.

Referenced by solve_eigenproblem(), and tolerance_for_ccness_check().

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

Public Member Functions

Private Member Functions

Private Attributes

Additional Inherited Members

Detailed Description

Constructor & Destructor Documentation

◆ LAPACK_QZ() [1/2]

◆ LAPACK_QZ() [2/2]

◆ ~LAPACK_QZ()

Member Function Documentation

◆ DGGEV_error()

◆ find_eigenvalues()

◆ operator=()

◆ solve_eigenproblem()

◆ solve_eigenproblem_helper()

◆ tolerance_for_ccness_check() [1/2]

◆ tolerance_for_ccness_check() [2/2]

◆ ZGGEV_error()

Member Data Documentation

◆ Tolerance_for_ccness_check