linalg Namespace Reference

Functions
long double	norm_frobenius (const Matrix< long double > &A)
double	norm_frobenius (const Matrix< double > &A)
float	norm_frobenius (const Matrix< float > &A)
template<typename T>
T	squared_sum (const Matrix< T > &A)
template<typename T>
T	determinant (const Matrix< T > &A)
template<typename T>
void	inverse (const Matrix< T > &A, Matrix< T > &B)
template<typename T>
void	eigenvalues (const Matrix< T > &A, ColumnVector< T > &lambda)
template<typename T>
void	eigenvalueDecomp (const Matrix< T > &A, Matrix< T > &Q, ColumnVector< T > &lambda)

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Function Documentation

long double linalg::norm_frobenius

(

const Matrix< long double > &

A

)

Definition at line 22 of file linalg.cpp.

References squared_sum().

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double linalg::norm_frobenius

(

const Matrix< double > &

A

)

Definition at line 26 of file linalg.cpp.

References squared_sum().

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float linalg::norm_frobenius

(

const Matrix< float > &

A

)

Definition at line 30 of file linalg.cpp.

References squared_sum().

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template<typename T>

T linalg::squared_sum

(

const Matrix< T > &

A

)

Definition at line 32 of file linalg.h.

References colarray::Matrix< T >::_m, and colarray::Matrix< T >::_n.

Referenced by norm_frobenius().

template<typename T>

T linalg::determinant

(

const Matrix< T > &

A

)

Definition at line 50 of file linalg.h.

References colarray::Matrix< T >::_m, colarray::Matrix< T >::_n, blas::getrf(), and colarray::Matrix< T >::inject().

Referenced by mesh::Tet::cartesian_to_simplex(), NedelecElement::get_AeMe(), and mesh::Tet::get_volume().

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template<typename T>

void linalg::inverse	(	const Matrix< T > &	A,
		Matrix< T > &	B
	)

Definition at line 74 of file linalg.h.

References colarray::Matrix< T >::_m, colarray::Matrix< T >::_n, and blas::gesv().

Referenced by NedelecElement::get_AeMe(), and mesh::Tet::GradientMatrix::GradientMatrix().

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template<typename T>

void linalg::eigenvalues	(	const Matrix< T > &	A,
		ColumnVector< T > &	lambda
	)

Compute the eigenvalues lambda of a symmetric matrix A.

Definition at line 96 of file linalg.h.

References colarray::Matrix< T >::_m, colarray::Matrix< T >::_n, colarray::Matrix< T >::inject(), lambda, and blas::syev().

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template<typename T>

void linalg::eigenvalueDecomp	(	const Matrix< T > &	A,
		Matrix< T > &	Q,
		ColumnVector< T > &	lambda
	)

Compute the eigenvalue decomposition of a symmetric matrix A.

Definition at line 111 of file linalg.h.

References colarray::Matrix< T >::_m, colarray::Matrix< T >::_n, colarray::Matrix< T >::inject(), lambda, Q, and blas::syev().

Referenced by NedelecElement::constructGQ().

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