matvecops.hpp File Reference

Provides Matrix/Vector operations. More...

#include "axom/config.hpp"
#include "axom/core/numerics/Determinants.hpp"
#include "axom/core/numerics/Matrix.hpp"
#include "axom/core/utilities/Utilities.hpp"
#include "axom/core/numerics/internal/matrix_norms.hpp"
#include <cassert>
#include <cmath>
#include "axom/core/Macros.hpp"

Namespaces
	axom
	axom::numerics

Enumerations
Enumerators & Types
enum	axom::numerics::MatrixNorm { axom::numerics::P1_NORM , axom::numerics::INF_NORM , axom::numerics::FROBENIUS_NORM }
	Enumerates the supported matrix norms. More...

Functions
Vector Operators
template<typename T >
bool	axom::numerics::linspace (const T &x0, const T &x1, T *v, int N)
	Generates a vector consisting of a sequence of N uniformly spaced values over the interval [x0,x1]. More...
template<typename T >
AXOM_HOST_DEVICE void	axom::numerics::cross_product (const T *u, const T *v, T *w)
	Computes the vector cross-product of two vectors, u and v. More...
template<typename T >
AXOM_HOST_DEVICE T	axom::numerics::dot_product (const T *u, const T *v, int dim)
	Computes the dot product of the arrays u and v. More...
template<typename T >
void	axom::numerics::make_orthogonal (T *u, T *v, int dim, double tol=1E-16)
	Makes u orthogonal to v. More...
template<typename T >
bool	axom::numerics::orthonormalize (T *basis, int size, int dim, double eps=1E-16)
	Performs Gram-Schmidt orthonormalization in-place on a 2D array of shape size,dim where it treats the rows as the individual vectors. More...
template<typename T >
AXOM_HOST_DEVICE bool	axom::numerics::normalize (T *v, int dim, double eps=1e-16)
	Normalizes the passed in array. More...
Matrix Operators
template<typename T >
bool	axom::numerics::matrix_add (const Matrix< T > &A, const Matrix< T > &B, Matrix< T > &C)
	Computes \( \mathcal{C} = \mathcal{A} + \mathcal{B} \). More...
template<typename T >
bool	axom::numerics::matrix_subtract (const Matrix< T > &A, const Matrix< T > &B, Matrix< T > &C)
	Computes \( \mathcal{C} = \mathcal{A} - \mathcal{B} \). More...
template<typename T >
bool	axom::numerics::matrix_multiply (const Matrix< T > &A, const Matrix< T > &B, Matrix< T > &C)
	Computes the matrix-matrix product of \( \mathcal{A} \) and \( \mathcal{B} \) and stores the result in \( \mathcal{C} \). More...
template<typename T >
void	axom::numerics::matrix_scalar_multiply (Matrix< T > &A, const T &c)
	Computes a scalar-matrix produect of a matrix \( \mathcal{A} \) and a scalar \( c \) and stores the result in \( \mathcal{A} \). More...
template<typename T >
void	axom::numerics::matrix_vector_multiply (const Matrix< T > &A, const T *vec, T *output)
	Computes the matrix-vector product of a matrix \(\mathcal{A}\) and a vector \(\mathbf{x}\) and store the result in the user-supplied output vector. More...
template<typename T >
bool	axom::numerics::matrix_transpose (const Matrix< T > &A, Matrix< T > &M)
	Computes the matrix transpose of a given matrix \( \mathcal{A} \). More...
template<typename T >
T	axom::numerics::matrix_norm (const Matrix< T > &A, MatrixNorm normType)
	Computes the specified norm of a given \( M \times N \) matrix. More...

Detailed Description

Provides Matrix/Vector operations.