MFEM  v4.1.0 Finite element discretization library
mfem::kernels Namespace Reference

## Functions

template<typename T >
MFEM_HOST_DEVICE double Norml2 (const int size, const T *data)
Returns the l2 norm of the Vector with given size and data. More...

template<typename TA , typename TX , typename TY >
MFEM_HOST_DEVICE void Mult (const int height, const int width, TA *data, const TX *x, TY *y)
Matrix vector multiplication: y = A x, where the matrix A is of size height x width with given data, while x and y specify the data of the input and output vectors. More...

template<typename T >
MFEM_HOST_DEVICE void Symmetrize (const int size, T *data)
Symmetrize a square matrix with given size and data: A -> (A+A^T)/2. More...

template<int dim, typename T >
MFEM_HOST_DEVICE T Det (const T *data)
Compute the determinant of a square matrix of size dim with given data. More...

template<int dim, typename T >
MFEM_HOST_DEVICE void CalcInverse (const T *data, T *inv_data)
Return the inverse a matrix with given size and data into the matrix with data inv_data. More...

template<typename TALPHA , typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void Add (const int height, const int width, const TALPHA alpha, const TA *Adata, const TB *Bdata, TC *Cdata)
Compute C = A + alpha*B, where the matrices A, B and C are of size height x width with data Adata, Bdata and Cdata. More...

template<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void Mult (const int Aheight, const int Awidth, const int Bwidth, const TB *Bdata, const TC *Cdata, TA *Adata)
Matrix-matrix multiplication: A = B * C, where the matrices A, B and C are of sizes Aheight x Awidth, Aheight x Bwidth and Bwidth x Awidth, respectively. More...

template<typename TA , typename TB , typename TC >
MFEM_HOST_DEVICE void MultABt (const int Aheight, const int Awidth, const int Bheight, const TA *Adata, const TB *Bdata, TC *ABtdata)
Multiply a matrix of size Aheight x Awidth and data Adata with the transpose of a matrix of size Bheight x Awidth and data Bdata: A * Bt. Return the result in a matrix with data ABtdata. More...

template<int dim>
void CalcEigenvalues (const double *data, double *lambda, double *vec)

template<int dim>
double CalcSingularvalue (const double *data, const int i)
Return the i'th singular value of the matrix of size dim with given data. More...

template<>
MFEM_HOST_DEVICE void CalcEigenvalues< 2 > (const double *data, double *lambda, double *vec)

template<>
MFEM_HOST_DEVICE void CalcEigenvalues< 3 > (const double *data, double *lambda, double *vec)

template<>
MFEM_HOST_DEVICE double CalcSingularvalue< 2 > (const double *data, const int i)
Return the i'th singular value of the matrix of size 2 with given data. More...

template<>
MFEM_HOST_DEVICE double CalcSingularvalue< 3 > (const double *data, const int i)
Return the i'th singular value of the matrix of size 3 with given data. More...

## Function Documentation

template<typename TALPHA , typename TA , typename TB , typename TC >
 MFEM_HOST_DEVICE void mfem::kernels::Add ( const int height, const int width, const TALPHA alpha, const TA * Adata, const TB * Bdata, TC * Cdata )
inline

Compute C = A + alpha*B, where the matrices A, B and C are of size height x width with data Adata, Bdata and Cdata.

Definition at line 141 of file kernels.hpp.

template<int dim>
 void mfem::kernels::CalcEigenvalues ( const double * data, double * lambda, double * vec )

Compute the spectrum of the matrix of size dim with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

template<>
 MFEM_HOST_DEVICE void mfem::kernels::CalcEigenvalues< 2 > ( const double * data, double * lambda, double * vec )
inline

Compute the spectrum of the matrix of size 2 with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

Definition at line 866 of file kernels.hpp.

template<>
 MFEM_HOST_DEVICE void mfem::kernels::CalcEigenvalues< 3 > ( const double * data, double * lambda, double * vec )
inline

Compute the spectrum of the matrix of size 3 with given data, returning the eigenvalues in the array lambda and the eigenvectors in the array vec (listed consecutively).

Definition at line 897 of file kernels.hpp.

template<int dim, typename T >
 MFEM_HOST_DEVICE void mfem::kernels::CalcInverse ( const T * data, T * inv_data )
inline

Return the inverse a matrix with given size and data into the matrix with data inv_data.

Definition at line 130 of file kernels.hpp.

template<int dim>
 double mfem::kernels::CalcSingularvalue ( const double * data, const int i )

Return the i'th singular value of the matrix of size dim with given data.

template<>
 MFEM_HOST_DEVICE double mfem::kernels::CalcSingularvalue< 2 > ( const double * data, const int i )
inline

Return the i'th singular value of the matrix of size 2 with given data.

Definition at line 1099 of file kernels.hpp.

template<>
 MFEM_HOST_DEVICE double mfem::kernels::CalcSingularvalue< 3 > ( const double * data, const int i )
inline

Return the i'th singular value of the matrix of size 3 with given data.

Definition at line 1147 of file kernels.hpp.

template<int dim, typename T >
 MFEM_HOST_DEVICE T mfem::kernels::Det ( const T * data )
inline

Compute the determinant of a square matrix of size dim with given data.

Definition at line 121 of file kernels.hpp.

template<typename TA , typename TX , typename TY >
 MFEM_HOST_DEVICE void mfem::kernels::Mult ( const int height, const int width, TA * data, const TX * x, TY * y )
inline

Matrix vector multiplication: y = A x, where the matrix A is of size height x width with given data, while x and y specify the data of the input and output vectors.

Definition at line 76 of file kernels.hpp.

template<typename TA , typename TB , typename TC >
 MFEM_HOST_DEVICE void mfem::kernels::Mult ( const int Aheight, const int Awidth, const int Bwidth, const TB * Bdata, const TC * Cdata, TA * Adata )
inline

Matrix-matrix multiplication: A = B * C, where the matrices A, B and C are of sizes Aheight x Awidth, Aheight x Bwidth and Bwidth x Awidth, respectively.

Definition at line 159 of file kernels.hpp.

template<typename TA , typename TB , typename TC >
 MFEM_HOST_DEVICE void mfem::kernels::MultABt ( const int Aheight, const int Awidth, const int Bheight, const TA * Adata, const TB * Bdata, TC * ABtdata )
inline

Multiply a matrix of size Aheight x Awidth and data Adata with the transpose of a matrix of size Bheight x Awidth and data Bdata: A * Bt. Return the result in a matrix with data ABtdata.

Definition at line 181 of file kernels.hpp.

template<typename T >
 MFEM_HOST_DEVICE double mfem::kernels::Norml2 ( const int size, const T * data )
inline

Returns the l2 norm of the Vector with given size and data.

Definition at line 46 of file kernels.hpp.

template<typename T >
 MFEM_HOST_DEVICE void mfem::kernels::Symmetrize ( const int size, T * data )
inline

Symmetrize a square matrix with given size and data: A -> (A+A^T)/2.

Definition at line 107 of file kernels.hpp.