densemat.cpp File Reference

Go to the source code of this file.

Namespaces
namespace	mfem

Functions
void	sgemm_ (char *, char *, int *, int *, int *, float *, float *, int *, float *, int *, float *, float *, int *)
void	sgetrf_ (int *, int *, float *, int *, int *, int *)
void	sgetrs_ (char *, int *, int *, float *, int *, int *, float *, int *, int *)
void	sgetri_ (int *N, float *A, int *LDA, int *IPIV, float *WORK, int *LWORK, int *INFO)
void	ssyevr_ (char *JOBZ, char *RANGE, char *UPLO, int *N, float *A, int *LDA, float *VL, float *VU, int *IL, int *IU, float *ABSTOL, int *M, float *W, float *Z, int *LDZ, int *ISUPPZ, float *WORK, int *LWORK, int *IWORK, int *LIWORK, int *INFO)
void	ssyev_ (char *JOBZ, char *UPLO, int *N, float *A, int *LDA, float *W, float *WORK, int *LWORK, int *INFO)
void	ssygv_ (int *ITYPE, char *JOBZ, char *UPLO, int *N, float *A, int *LDA, float *B, int *LDB, float *W, float *WORK, int *LWORK, int *INFO)
void	sgesvd_ (char *JOBU, char *JOBVT, int *M, int *N, float *A, int *LDA, float *S, float *U, int *LDU, float *VT, int *LDVT, float *WORK, int *LWORK, int *INFO)
void	strsm_ (char *side, char *uplo, char *transa, char *diag, int *m, int *n, float *alpha, float *a, int *lda, float *b, int *ldb)
void	sggev_ (char *jobvl, char *jobvr, int *n, float *a, int *lda, float *B, int *ldb, float *alphar, float *alphai, float *beta, float *vl, int *ldvl, float *vr, int *ldvr, float *work, int *lwork, int *info)
void	spotrf_ (char *, int *, float *, int *, int *)
void	spotrs_ (char *, int *, int *, float *, int *, float *, int *, int *)
void	strtrs_ (char *, char *, char *, int *, int *, float *, int *, float *, int *, int *)
void	spotri_ (char *, int *, float *, int *, int *)
void	dgemm_ (char *, char *, int *, int *, int *, double *, double *, int *, double *, int *, double *, double *, int *)
void	dgetrf_ (int *, int *, double *, int *, int *, int *)
void	dgetrs_ (char *, int *, int *, double *, int *, int *, double *, int *, int *)
void	dgetri_ (int *N, double *A, int *LDA, int *IPIV, double *WORK, int *LWORK, int *INFO)
void	dsyevr_ (char *JOBZ, char *RANGE, char *UPLO, int *N, double *A, int *LDA, double *VL, double *VU, int *IL, int *IU, double *ABSTOL, int *M, double *W, double *Z, int *LDZ, int *ISUPPZ, double *WORK, int *LWORK, int *IWORK, int *LIWORK, int *INFO)
void	dsyev_ (char *JOBZ, char *UPLO, int *N, double *A, int *LDA, double *W, double *WORK, int *LWORK, int *INFO)
void	dsygv_ (int *ITYPE, char *JOBZ, char *UPLO, int *N, double *A, int *LDA, double *B, int *LDB, double *W, double *WORK, int *LWORK, int *INFO)
void	dgesvd_ (char *JOBU, char *JOBVT, int *M, int *N, double *A, int *LDA, double *S, double *U, int *LDU, double *VT, int *LDVT, double *WORK, int *LWORK, int *INFO)
void	dtrsm_ (char *side, char *uplo, char *transa, char *diag, int *m, int *n, double *alpha, double *a, int *lda, double *b, int *ldb)
void	dggev_ (char *jobvl, char *jobvr, int *n, double *a, int *lda, double *B, int *ldb, double *alphar, double *alphai, double *beta, double *vl, int *ldvl, double *vr, int *ldvr, double *work, int *lwork, int *info)
void	dpotrf_ (char *, int *, double *, int *, int *)
void	dpotrs_ (char *, int *, int *, double *, int *, double *, int *, int *)
void	dtrtrs_ (char *, char *, char *, int *, int *, double *, int *, double *, int *, int *)
void	dpotri_ (char *, int *, double *, int *, int *)
void	mfem::dsyevr_Eigensystem (DenseMatrix &a, Vector &ev, DenseMatrix *evect)
void	mfem::dsyev_Eigensystem (DenseMatrix &a, Vector &ev, DenseMatrix *evect)
void	mfem::dsygv_Eigensystem (DenseMatrix &a, DenseMatrix &b, Vector &ev, DenseMatrix *evect)
void	mfem::Add (const DenseMatrix &A, const DenseMatrix &B, real_t alpha, DenseMatrix &C)
	C = A + alpha*B.
void	mfem::Add (real_t alpha, const real_t *A, real_t beta, const real_t *B, DenseMatrix &C)
	C = alpha*A + beta*B.
void	mfem::Add (real_t alpha, const DenseMatrix &A, real_t beta, const DenseMatrix &B, DenseMatrix &C)
	C = alpha*A + beta*B.
bool	mfem::LinearSolve (DenseMatrix &A, real_t *X, real_t TOL=1.e-9)
	Solves the dense linear system, A * X = B for X
void	mfem::Mult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A = B * C.
void	mfem::AddMult_a (real_t alpha, const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A += alpha * B * C.
void	mfem::AddMult (const DenseMatrix &b, const DenseMatrix &c, DenseMatrix &a)
	Matrix matrix multiplication. A += B * C.
void	mfem::CalcAdjugate (const DenseMatrix &a, DenseMatrix &adja)
void	mfem::CalcAdjugateTranspose (const DenseMatrix &a, DenseMatrix &adjat)
	Calculate the transposed adjugate of a matrix (for NxN matrices, N=1,2,3)
void	mfem::CalcInverse (const DenseMatrix &a, DenseMatrix &inva)
void	mfem::CalcInverseTranspose (const DenseMatrix &a, DenseMatrix &inva)
	Calculate the inverse transpose of a matrix (for NxN matrices, N=1,2,3)
void	mfem::CalcOrtho (const DenseMatrix &J, Vector &n)
void	mfem::MultAAt (const DenseMatrix &a, DenseMatrix &aat)
	Calculate the matrix A.At.
void	mfem::AddMultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
	ADAt += A D A^t, where D is diagonal.
void	mfem::MultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
	ADAt = A D A^t, where D is diagonal.
void	mfem::MultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	Multiply a matrix A with the transpose of a matrix B: A*Bt.
void	mfem::MultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
	ADBt = A D B^t, where D is diagonal.
void	mfem::AddMultABt (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	ABt += A * B^t.
void	mfem::AddMultADBt (const DenseMatrix &A, const Vector &D, const DenseMatrix &B, DenseMatrix &ADBt)
	ADBt = A D B^t, where D is diagonal.
void	mfem::AddMult_a_ABt (real_t a, const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &ABt)
	ABt += a * A * B^t.
void	mfem::MultAtB (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	Multiply the transpose of a matrix A with a matrix B: At*B.
void	mfem::AddMultAtB (const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	AtB += A^t * B.
void	mfem::AddMult_a_AtB (real_t a, const DenseMatrix &A, const DenseMatrix &B, DenseMatrix &AtB)
	AtB += a * A^t * B.
void	mfem::AddMult_a_AAt (real_t a, const DenseMatrix &A, DenseMatrix &AAt)
	AAt += a * A * A^t.
void	mfem::Mult_a_AAt (real_t a, const DenseMatrix &A, DenseMatrix &AAt)
	AAt = a * A * A^t.
void	mfem::MultVVt (const Vector &v, DenseMatrix &vvt)
	Make a matrix from a vector V.Vt.
void	mfem::MultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
void	mfem::AddMultVWt (const Vector &v, const Vector &w, DenseMatrix &VWt)
	VWt += v w^t.
void	mfem::AddMultVVt (const Vector &v, DenseMatrix &VWt)
	VVt += v v^t.
void	mfem::AddMult_a_VWt (const real_t a, const Vector &v, const Vector &w, DenseMatrix &VWt)
	VWt += a * v w^t.
void	mfem::AddMult_a_VVt (const real_t a, const Vector &v, DenseMatrix &VVt)
	VVt += a * v v^t.
void	mfem::RAP (const DenseMatrix &A, const DenseMatrix &P, DenseMatrix &RAP)
void	mfem::RAP (const DenseMatrix &Rt, const DenseMatrix &A, const DenseMatrix &P, DenseMatrix &RAP)
void	mfem::BatchLUFactor (DenseTensor &Mlu, Array< int > &P, const real_t TOL=0.0)
	Compute the LU factorization of a batch of matrices.
void	mfem::BatchLUSolve (const DenseTensor &Mlu, const Array< int > &P, Vector &X)
	Solve batch linear systems.

Function Documentation

dgemm_()

void dgemm_	(	char *	,
		char *	,
		int *	,
		int *	,
		int *	,
		double *	,
		double *	,
		int *	,
		double *	,
		int *	,
		double *	,
		double *	,
		int *	)

dgesvd_()

void dgesvd_	(	char *	JOBU,
		char *	JOBVT,
		int *	M,
		int *	N,
		double *	A,
		int *	LDA,
		double *	S,
		double *	U,
		int *	LDU,
		double *	VT,
		int *	LDVT,
		double *	WORK,
		int *	LWORK,
		int *	INFO )

dgetrf_()

void dgetrf_	(	int *	,
		int *	,
		double *	,
		int *	,
		int *	,
		int *	)

dgetri_()

void dgetri_	(	int *	N,
		double *	A,
		int *	LDA,
		int *	IPIV,
		double *	WORK,
		int *	LWORK,
		int *	INFO )

dgetrs_()

void dgetrs_	(	char *	,
		int *	,
		int *	,
		double *	,
		int *	,
		int *	,
		double *	,
		int *	,
		int *	)

dggev_()

void dggev_	(	char *	jobvl,
		char *	jobvr,
		int *	n,
		double *	a,
		int *	lda,
		double *	B,
		int *	ldb,
		double *	alphar,
		double *	alphai,
		double *	beta,
		double *	vl,
		int *	ldvl,
		double *	vr,
		int *	ldvr,
		double *	work,
		int *	lwork,
		int *	info )

dpotrf_()

void dpotrf_	(	char *	,
		int *	,
		double *	,
		int *	,
		int *	)

dpotri_()

void dpotri_	(	char *	,
		int *	,
		double *	,
		int *	,
		int *	)

dpotrs_()

void dpotrs_	(	char *	,
		int *	,
		int *	,
		double *	,
		int *	,
		double *	,
		int *	,
		int *	)

dsyev_()

void dsyev_	(	char *	JOBZ,
		char *	UPLO,
		int *	N,
		double *	A,
		int *	LDA,
		double *	W,
		double *	WORK,
		int *	LWORK,
		int *	INFO )

dsyevr_()

void dsyevr_	(	char *	JOBZ,
		char *	RANGE,
		char *	UPLO,
		int *	N,
		double *	A,
		int *	LDA,
		double *	VL,
		double *	VU,
		int *	IL,
		int *	IU,
		double *	ABSTOL,
		int *	M,
		double *	W,
		double *	Z,
		int *	LDZ,
		int *	ISUPPZ,
		double *	WORK,
		int *	LWORK,
		int *	IWORK,
		int *	LIWORK,
		int *	INFO )

dsygv_()

void dsygv_	(	int *	ITYPE,
		char *	JOBZ,
		char *	UPLO,
		int *	N,
		double *	A,
		int *	LDA,
		double *	B,
		int *	LDB,
		double *	W,
		double *	WORK,
		int *	LWORK,
		int *	INFO )

dtrsm_()

void dtrsm_	(	char *	side,
		char *	uplo,
		char *	transa,
		char *	diag,
		int *	m,
		int *	n,
		double *	alpha,
		double *	a,
		int *	lda,
		double *	b,
		int *	ldb )

dtrtrs_()

void dtrtrs_	(	char *	,
		char *	,
		char *	,
		int *	,
		int *	,
		double *	,
		int *	,
		double *	,
		int *	,
		int *	)

sgemm_()

void sgemm_	(	char *	,
		char *	,
		int *	,
		int *	,
		int *	,
		float *	,
		float *	,
		int *	,
		float *	,
		int *	,
		float *	,
		float *	,
		int *	)

sgesvd_()

void sgesvd_	(	char *	JOBU,
		char *	JOBVT,
		int *	M,
		int *	N,
		float *	A,
		int *	LDA,
		float *	S,
		float *	U,
		int *	LDU,
		float *	VT,
		int *	LDVT,
		float *	WORK,
		int *	LWORK,
		int *	INFO )

sgetrf_()

void sgetrf_	(	int *	,
		int *	,
		float *	,
		int *	,
		int *	,
		int *	)

sgetri_()

void sgetri_	(	int *	N,
		float *	A,
		int *	LDA,
		int *	IPIV,
		float *	WORK,
		int *	LWORK,
		int *	INFO )

sgetrs_()

void sgetrs_	(	char *	,
		int *	,
		int *	,
		float *	,
		int *	,
		int *	,
		float *	,
		int *	,
		int *	)

sggev_()

void sggev_	(	char *	jobvl,
		char *	jobvr,
		int *	n,
		float *	a,
		int *	lda,
		float *	B,
		int *	ldb,
		float *	alphar,
		float *	alphai,
		float *	beta,
		float *	vl,
		int *	ldvl,
		float *	vr,
		int *	ldvr,
		float *	work,
		int *	lwork,
		int *	info )

spotrf_()

void spotrf_	(	char *	,
		int *	,
		float *	,
		int *	,
		int *	)

spotri_()

void spotri_	(	char *	,
		int *	,
		float *	,
		int *	,
		int *	)

spotrs_()

void spotrs_	(	char *	,
		int *	,
		int *	,
		float *	,
		int *	,
		float *	,
		int *	,
		int *	)

ssyev_()

void ssyev_	(	char *	JOBZ,
		char *	UPLO,
		int *	N,
		float *	A,
		int *	LDA,
		float *	W,
		float *	WORK,
		int *	LWORK,
		int *	INFO )

ssyevr_()

void ssyevr_	(	char *	JOBZ,
		char *	RANGE,
		char *	UPLO,
		int *	N,
		float *	A,
		int *	LDA,
		float *	VL,
		float *	VU,
		int *	IL,
		int *	IU,
		float *	ABSTOL,
		int *	M,
		float *	W,
		float *	Z,
		int *	LDZ,
		int *	ISUPPZ,
		float *	WORK,
		int *	LWORK,
		int *	IWORK,
		int *	LIWORK,
		int *	INFO )

ssygv_()

void ssygv_	(	int *	ITYPE,
		char *	JOBZ,
		char *	UPLO,
		int *	N,
		float *	A,
		int *	LDA,
		float *	B,
		int *	LDB,
		float *	W,
		float *	WORK,
		int *	LWORK,
		int *	INFO )

strsm_()

void strsm_	(	char *	side,
		char *	uplo,
		char *	transa,
		char *	diag,
		int *	m,
		int *	n,
		float *	alpha,
		float *	a,
		int *	lda,
		float *	b,
		int *	ldb )

strtrs_()

void strtrs_	(	char *	,
		char *	,
		char *	,
		int *	,
		int *	,
		float *	,
		int *	,
		float *	,
		int *	,
		int *	)