matrix_norm.hpp File Reference

Dense matrix norm front ends over operation-tag dispatch. More...

#include <uni20/core/scalar_concepts.hpp>
#include <uni20/core/scalar_traits.hpp>
#include <uni20/linalg/backends/cpu/matrix_norm.hpp>
#include <uni20/linalg/backends/lapack/matrix_norm.hpp>
#include <uni20/linalg/dispatch.hpp>
#include <uni20/linalg/operation_tags.hpp>
#include <uni20/mdspan/concepts.hpp>
#include <uni20/tensor/concepts.hpp>
#include <uni20/tensor/reductions.hpp>
#include <concepts>
#include <type_traits>
#include <utility>

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Namespaces
namespace	uni20
namespace	uni20::linalg

Functions
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>> && requires(MatrixTensor const& matrix) { uni20::norm(matrix); }
auto	uni20::linalg::matrix_norm (BackendSelector &&selector, MatrixTensor const &matrix, MatrixNorm kind)
	Return a storage-preserving rank-zero Tensor matrix norm.
template<KernelBackendSelector BackendSelector, uni20::MutableRankedMdspanLike< 0 > OutputMdspan, uni20::RankedMdspanLike< 2 > MatrixMdspan> requires uni20::RealOrComplex<typename std::remove_cvref_t<MatrixMdspan>::value_type> && std::same_as<typename std::remove_cvref_t<OutputMdspan>::value_type, uni20::make_real_t<typename std::remove_cvref_t<MatrixMdspan>::value_type>>
void	uni20::linalg::matrix_norm (BackendSelector &&selector, OutputMdspan &&output, MatrixMdspan &&matrix, MatrixNorm kind)
	Compute a bare mdspan matrix norm into a rank-zero output.
template<KernelBackendSelector BackendSelector, uni20::MutableScalarTensorView OutputTensor, uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>> && std::same_as<uni20::tensor_element_t<OutputTensor>, uni20::make_real_t<uni20::tensor_element_t<MatrixTensor>>>
void	uni20::linalg::matrix_norm (BackendSelector &&selector, OutputTensor &&output, MatrixTensor const &matrix, MatrixNorm kind)
	Compute a Tensor matrix norm into an existing real scalar Tensor.
template<uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>> && requires(MatrixTensor const& matrix) { uni20::norm(matrix); }
auto	uni20::linalg::matrix_norm (MatrixTensor const &matrix, MatrixNorm kind)
	Return a storage-preserving rank-zero Tensor matrix norm using storage policy.
template<uni20::MutableScalarTensorView OutputTensor, uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>> && std::same_as<uni20::tensor_element_t<OutputTensor>, uni20::make_real_t<uni20::tensor_element_t<MatrixTensor>>>
void	uni20::linalg::matrix_norm (OutputTensor &&output, MatrixTensor const &matrix, MatrixNorm kind)
	Compute a Tensor matrix norm using the operands' storage policy.
template<KernelBackendSelector BackendSelector, uni20::RankedMdspanLike< 2 > MatrixMdspan> requires uni20::RealOrComplex<typename std::remove_cvref_t<MatrixMdspan>::value_type>
auto	uni20::linalg::matrix_norm_host (BackendSelector &&selector, MatrixMdspan &&matrix, MatrixNorm kind) -> uni20::make_real_t< typename std::remove_cvref_t< MatrixMdspan >::value_type >
	Return a bare mdspan matrix norm as a host C++ scalar.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>>
auto	uni20::linalg::matrix_norm_host (BackendSelector &&selector, MatrixTensor const &matrix, MatrixNorm kind) -> uni20::make_real_t< uni20::tensor_element_t< MatrixTensor > >
	Return a Tensor matrix norm as a host C++ scalar through an explicit selector.
template<uni20::RankedTensorView< 2 > MatrixTensor> requires uni20::RealOrComplex<uni20::tensor_element_t<MatrixTensor>>
auto	uni20::linalg::matrix_norm_host (MatrixTensor const &matrix, MatrixNorm kind) -> uni20::make_real_t< uni20::tensor_element_t< MatrixTensor > >
	Return a Tensor matrix norm as a host C++ scalar using storage policy.

Detailed Description

Dense matrix norm front ends over operation-tag dispatch.