operator_traits.hpp File Reference

#include "akreon/linalg/constants.hpp"
#include "akreon/linalg/space/space_concepts.hpp"
#include "akreon/linalg/space/coordinate_map.hpp"

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Classes
struct	linalg::space_traits< SymmetricMatrix< Mat > >
	type traits definition for symmetric matrices (subspace of R^n) More...
struct	linalg::coordinate_map< SymmetricMatrix< Mat > >
struct	linalg::mat_traits< Endomorphism< Mat, Derived > >
	mat type traits definition for linear operator More...
struct	linalg::mat_traits< SymmetricOperator< Mat, Derived > >
	mat type traits definition for symmetric operator More...
struct	linalg::mat_traits< SymmetricMatrix< Mat > >
	mat type traits definition for symmetric matrices More...
struct	linalg::mat_traits< Hessenberg< Mat > >
	mat type traits definition for hessenberg matrices More...
struct	linalg::mat_traits< Hessian< Mat, Type > >
	mat type traits definition for hessian matrices More...
struct	linalg::mat_traits< LDL< Mat > >
	mat type traits definition for LDL More...
struct	linalg::mat_traits< QuadraticRep< Mat, Circ > >
	mat type traits definition for P(x) More...
struct	linalg::mat_traits< Cholesky< Mat > >
	mat type traits definition for Cholesky More...
struct	linalg::vector_traits< Endomorphism< Mat, Derived > >
	vec type traits for linear operator More...
struct	linalg::vector_traits< SymmetricOperator< Mat, Derived > >
	vec type traits for symmetric operator More...
struct	linalg::vector_traits< SymmetricMatrix< Mat > >
	vec type traits for symmetric matrices More...
struct	linalg::vector_traits< Hessenberg< Mat > >
	vec type traits for hessenberg matrices More...
struct	linalg::vector_traits< Hessian< Mat, Type > >
	vec type traits for hessian matrices More...
struct	linalg::vector_traits< LDL< Mat > >
	vec type traits for LDL matrices More...
struct	linalg::vector_traits< QuadraticRep< Mat, Circ > >
	vec type traits for quadratic rep matrices More...
struct	linalg::vector_traits< Cholesky< Mat > >
	vec type traits for cholesky matrices More...
struct	linalg::is_symmetric_matrix_space< Space >
	symmetric matrix space type trait More...
struct	linalg::is_symmetric_matrix_space< SymmetricMatrix< Mat > >
	symmetric matrix space type trait More...
struct	linalg::operator_traits< Matrix< T, Rows, Cols > >
struct	linalg::operator_traits< Operator >

Namespaces
namespace	linalg

Concepts
concept	linalg::LinearOperator
concept	linalg::EndomorphicOperator

Typedefs
template<class Operator >
using	linalg::operator_traits_t = operator_traits< remove_cvref_t< Operator > >
template<class Operator >
using	linalg::operator_scalar_t = typename operator_traits_t< Operator >::scalar_type
template<class Operator >
using	linalg::operator_domain_t = typename operator_traits_t< Operator >::domain_type
template<class Operator >
using	linalg::operator_codomain_t = typename operator_traits_t< Operator >::codomain_type
template<class Operator >
using	linalg::operator_matrix_t = typename operator_traits_t< Operator >::matrix_type

Enumerations
enum struct	linalg::SymmetricOperatorType {   linalg::INV = 0 , linalg::IND , linalg::PSD , linalg::PD ,   linalg::NSD , linalg::ND }
	simple enum to define symmetric matrix types INV = Invalid IND = Indefinite PSD = Positive Semidefinite PD = Positive Definite NSD = Negative Semidefinite ND = Negative Definite More...
enum struct	linalg::DifferentialType { linalg::PUSHFORWARD , linalg::PULLBACK }
	differential type More...

Functions
template<MatrixContainer Mat>
constexpr auto	linalg::apply (const Mat &matrix, const operator_domain_t< Mat > &vector) -> operator_codomain_t< Mat >

Variables
template<typename Space >
constexpr bool	linalg::is_symmetric_matrix_space_v
	symmetric matrix space type trait var