tmath::functions Namespace Reference

encapsulates external functions for linalg objects More...

Functions
Matrix	AsDiagonal (const Matrix &mat)
	Converts the vector to a matrix with the vector on its diagonal.
sparse::SparseMatrix	AsSparseDiagonal (const Matrix &mat)
	Converts the vector to a sparse matrix with the vector on its diagonal.
sparse::SymSparseMatrix	AsSymSparseDiagonal (const Matrix &mat)
	Converts the vector to a sparse matrix with the vector on its diagonal.
Matrix	Cos (const Matrix &a, const double &f=1.)
	returns a Matrix x with coefficientwise x=cos(a*f)
double	Det (const MatrixBlock &mat)
double	Det (const Matrix &mat)
	Computes the determinant using LU.
Matrix	Diagonal (const sparse::SymSparseMatrix &mat)
Matrix	Diagonal (const sparse::SparseMatrix &mat)
Matrix	Diagonal (const MatrixBlock &mat)
Matrix	Diagonal (const Matrix &mat)
	Extracts the diagonal of the matrix as a vector.
double	Dot (const Matrix &a, const sparse::SparseMatrix &b)
double	Dot (const sparse::SparseMatrix &a, const Matrix &b)
double	Dot (const MatrixBlock &a, const MatrixBlock &b)
double	Dot (const Matrix &a, const MatrixBlock &b)
double	Dot (const MatrixBlock &a, const Matrix &b)
double	Dot (const Matrix &a, const Matrix &b)
	Computes the scalar product (regardless of orientation) s=a'b.
double	Dott (const sparse::SymSparseMatrix &a, const MatrixBlock &b)
double	Dott (const sparse::SymSparseMatrix &a, const Matrix &b)
double	Dott (const sparse::SparseMatrix &a, const MatrixBlock &b)
double	Dott (const sparse::SparseMatrix &a, const Matrix &b)
double	Dott (const Matrix &a, const MatrixBlock &b)
double	Dott (const Matrix &a, const Matrix &b)
	Computes the matrix weighted scalar product s=b'ab (a=matrix, b=vector).
Matrix	Eigenvalues (Matrix &mat)
	Computes the (symmetric) eigenvalues.
Matrix	Exp (const Matrix &a, const double &f=1.)
	returns a Matrix x with coefficientwise x=exp(a*f)
Matrix	InnerProd (const sparse::SymSparseMatrix &a, const Matrix &b)
Matrix	InnerProd (const Matrix &a, const sparse::SymSparseMatrix &b)
Matrix	InnerProd (const sparse::SparseMatrix &a, const Matrix &b)
Matrix	InnerProd (const Matrix &a, const sparse::SparseMatrix &b)
sparse::SparseMatrix	InnerProd (const sparse::SymSparseMatrix &a, const sparse::SymSparseMatrix &b)
sparse::SparseMatrix	InnerProd (const sparse::SparseMatrix &a, const sparse::SparseMatrix &b)
Matrix	InnerProd (const MatrixBlock &a, const MatrixBlock &b)
Matrix	InnerProd (const Matrix &a, const MatrixBlock &b)
Matrix	InnerProd (const MatrixBlock &a, const Matrix &b)
Matrix	InnerProd (const Matrix &a, const Matrix &b)
	Computes the inner matrix product x=a'b.
sparse::MUMPS	Inverse (sparse::SymSparseMatrix &mat)
sparse::MUMPS	Inverse (sparse::SparseMatrix &mat)
Matrix	Inverse (const MatrixBlock &mat)
Matrix	Inverse (const Matrix &mat)
	Computes the inverse matrix using LU.
Matrix	Log (const Matrix &a, const double &f=1.)
	returns a Matrix x with coefficientwise x=log(a*f) (natural log)
double	Norm (const sparse::SymSparseMatrix &mat)
double	Norm (const sparse::SparseMatrix &mat)
double	Norm (const MatrixBlock &mat)
double	Norm (const Matrix &mat)
	Computes the L2 norm.
Matrix	operator* (const MatrixBlock &a, const sparse::SymSparseMatrix &b)
Matrix	operator* (const Matrix &a, const sparse::SymSparseMatrix &b)
Matrix	operator* (const MatrixBlock &a, const sparse::SparseMatrix &b)
Matrix	operator* (const Matrix &a, const sparse::SparseMatrix &b)
	matrix multiplication a*b
Matrix	operator+ (const sparse::SymSparseMatrix &a, const MatrixBlock &b)
Matrix	operator+ (const sparse::SymSparseMatrix &a, const Matrix &b)
Matrix	operator+ (const MatrixBlock &a, const sparse::SymSparseMatrix &b)
Matrix	operator+ (const Matrix &a, const sparse::SymSparseMatrix &b)
Matrix	operator+ (const sparse::SparseMatrix &a, const MatrixBlock &b)
Matrix	operator+ (const sparse::SparseMatrix &a, const Matrix &b)
Matrix	operator+ (const MatrixBlock &a, const sparse::SparseMatrix &b)
Matrix	operator+ (const Matrix &a, const sparse::SparseMatrix &b)
	matrix sum a+b
Matrix	operator- (const sparse::SymSparseMatrix &a, const MatrixBlock &b)
Matrix	operator- (const sparse::SymSparseMatrix &a, const Matrix &b)
Matrix	operator- (const MatrixBlock &a, const sparse::SymSparseMatrix &b)
Matrix	operator- (const Matrix &a, const sparse::SymSparseMatrix &b)
Matrix	operator- (const sparse::SparseMatrix &a, const MatrixBlock &b)
Matrix	operator- (const sparse::SparseMatrix &a, const Matrix &b)
Matrix	operator- (const MatrixBlock &a, const sparse::SparseMatrix &b)
Matrix	operator- (const Matrix &a, const sparse::SparseMatrix &b)
	matrix difference a-b
Matrix	OuterProd (const sparse::SymSparseMatrix &a, const Matrix &b)
Matrix	OuterProd (const Matrix &a, const sparse::SymSparseMatrix &b)
Matrix	OuterProd (const sparse::SparseMatrix &a, const Matrix &b)
Matrix	OuterProd (const Matrix &a, const sparse::SparseMatrix &b)
sparse::SparseMatrix	OuterProd (const sparse::SymSparseMatrix &a, const sparse::SymSparseMatrix &b)
sparse::SparseMatrix	OuterProd (const sparse::SparseMatrix &a, const sparse::SparseMatrix &b)
Matrix	OuterProd (const MatrixBlock &a, const MatrixBlock &b)
Matrix	OuterProd (const Matrix &a, const MatrixBlock &b)
Matrix	OuterProd (const MatrixBlock &a, const Matrix &b)
Matrix	OuterProd (const Matrix &a, const Matrix &b)
	Computes the outer matrix product x=ab'.
Matrix	Pow (const Matrix &a, const double &f=1.)
	returns a Matrix x with coefficientwise x=pow(a,f)
Matrix	Sin (const Matrix &a, const double &f=1.)
	returns a Matrix x with coefficientwise x=sin(a*f)
Matrix	Solve (sparse::SymSparseMatrix &mat, const Matrix &b)
Matrix	Solve (sparse::SparseMatrix &mat, const Matrix &b)
Matrix	Solve (const Matrix &mat, const Matrix &b)
	Solves the system A*x=b and returns x using LU.
double	Sum (const sparse::SymSparseMatrix &mat)
double	Sum (const sparse::SparseMatrix &mat)
double	Sum (const MatrixBlock &mat)
double	Sum (const Matrix &mat)
	Computes the sum of all coefficients.
double	Trace (const sparse::SymSparseMatrix &mat)
double	Trace (const sparse::SparseMatrix &mat)
double	Trace (const MatrixBlock &mat)
double	Trace (const Matrix &mat)
	returns the trace of the matrix

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Detailed Description

encapsulates external functions for linalg objects

encapsulates external functions for linalg objects