dolfin::VectorSpaceBasis Class Reference

#include <VectorSpaceBasis.h>

Public Member Functions
	VectorSpaceBasis (const std::vector< std::shared_ptr< GenericVector > > basis)
	Constructor.
	~VectorSpaceBasis ()
	Destructor.
void	orthonormalize (double tol=1.0e-10)
bool	is_orthonormal (double tol=1.0e-10) const
	Test if basis is orthonormal.
bool	is_orthogonal (double tol=1.0e-10) const
	Test if basis is orthogonal.
void	orthogonalize (GenericVector &x) const
	Orthogonalize x with respect to basis.
std::size_t	dim () const
	Number of vectors in the basis.
std::shared_ptr< const GenericVector >	operator[] (std::size_t i) const
	Get a particular basis vector.

Detailed Description

This class defines a basis for vector spaces, typically used for expressing nullspaces of singular operators and 'near nullspaces' used in smoothed aggregation algebraic multigrid.

Member Function Documentation

orthonormalize()

void VectorSpaceBasis::orthonormalize

(

double

tol = 1.0e-10

)

Apply the Gram-Schmidt process to orthonormalize the basis. Throws an error if a (near) linear dependency is detected. Error is thrown if <x_i, x_i> < tol.

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

• /build/dolfin-wwk1CC/dolfin-2019.2.0~legacy20240219.1c52e83/dolfin/la/VectorSpaceBasis.h
• /build/dolfin-wwk1CC/dolfin-2019.2.0~legacy20240219.1c52e83/dolfin/la/VectorSpaceBasis.cpp