VectorSpaceBasis¶

class dolfin.cpp.la.VectorSpaceBasis¶

Bases: object

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.

Constructor.

Parameters:	std::vector< std::shared_ptr< GenericVector >> basis (const) –

dim()¶

Number of vectors in the basis.

Return type:	std::size_t

is_orthogonal()¶

Test if basis is orthogonal.

Parameters:	tol (double) –
Return type:	bool

is_orthonormal()¶

Test if basis is orthonormal.

Parameters:	tol (double) –
Return type:	bool

orthogonalize()¶

Orthogonalize x with respect to basis.

Parameters:	& x (GenericVector) –
Return type:	void

orthonormalize()¶

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.

Parameters:	tol (double) –
Return type:	void

thisown¶: The membership flag