densemat.hpp File Reference

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Classes
class	mfem::DenseMatrix
	Data type dense matrix using column-major storage. More...
class	mfem::Factors
class	mfem::LUFactors
class	mfem::CholeskyFactors
class	mfem::DenseMatrixInverse
class	mfem::DenseMatrixEigensystem
class	mfem::DenseMatrixGeneralizedEigensystem
class	mfem::DenseMatrixSVD
	Class for Singular Value Decomposition of a DenseMatrix. More...
class	mfem::DenseTensor
	Rank 3 tensor (array of matrices) More...

Namespaces
namespace	mfem

Functions
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 (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::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::MultADAt (const DenseMatrix &A, const Vector &D, DenseMatrix &ADAt)
	ADAt = A D A^t, where D is diagonal.
void	mfem::AddMultADAt (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.