VectorSpaceBasis.h¶
Note
The documentation on this page was automatically extracted from the DOLFIN C++ code and may need to be edited or expanded.
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class
VectorSpaceBasis
¶ This class defines a basis for vector spaces, typically used for expressing nullspaces, transpose nullspaces and near nullspaces of singular operators
Constructor
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void
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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bool
is_orthonormal
(double tol = 1.0e-10) const¶ Test if basis is orthonormal
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bool
is_orthogonal
(double tol = 1.0e-10) const¶ Test if basis is orthogonal
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void
orthogonalize
(GenericVector &x) const¶ Orthogonalize x with respect to basis
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std::size_t
dim
() const¶ Number of vectors in the basis
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std::shared_ptr<const GenericVector>
operator[]
(std::size_t i) const¶ Get a particular basis vector