qr.hpp File Reference

Destructive-workspace and value-producing reduced real or complex QR factorizations. More...

#include <uni20/core/scalar_concepts.hpp>
#include <uni20/linalg/backends/lapack/qr.hpp>
#include <uni20/linalg/decomposition_precision.hpp>
#include <uni20/linalg/dispatch.hpp>
#include <uni20/linalg/operation_tags.hpp>
#include <uni20/tensor/concepts.hpp>
#include <uni20/tensor/copy.hpp>
#include <uni20/tensor/output.hpp>
#include <uni20/tensor/tensor.hpp>
#include <algorithm>
#include <concepts>
#include <type_traits>
#include <utility>

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Classes
struct	uni20::linalg::QrResult< QTensor, RTensor >
	Owning reduced factors returned by qr. More...

Namespaces
namespace	uni20
namespace	uni20::linalg

Functions
template<KernelBackendSelector BackendSelector, class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2> && detail::DecompositionScalar<uni20::tensor_element_t<MatrixTensor>> && (!std::is_lvalue_reference_v<MatrixTensor>) && (!std::is_const_v<std::remove_reference_t<MatrixTensor>>)
auto	uni20::linalg::qr (BackendSelector &&selector, MatrixTensor &&matrix, std::optional< Precision > requested={})
	Consume an owning real or complex matrix and return its reduced QR factorization through an explicit selector.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor> requires detail::DecompositionScalar<uni20::tensor_element_t<MatrixTensor>>
auto	uni20::linalg::qr (BackendSelector &&selector, MatrixTensor const &matrix, std::optional< Precision > requested={})
	Preserve a real or complex matrix and return its reduced QR factorization through an explicit selector.
template<class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2> && detail::DecompositionScalar<uni20::tensor_element_t<MatrixTensor>> && (!std::is_lvalue_reference_v<MatrixTensor>) && (!std::is_const_v<std::remove_reference_t<MatrixTensor>>)
auto	uni20::linalg::qr (MatrixTensor &&matrix, std::optional< Precision > requested={})
	Consume an owning real or complex matrix and return its reduced QR factorization.
template<uni20::RankedTensorView< 2 > MatrixTensor> requires detail::DecompositionScalar<uni20::tensor_element_t<MatrixTensor>>
auto	uni20::linalg::qr (MatrixTensor const &matrix, std::optional< Precision > requested={})
	Preserve a real or complex matrix and return its reduced QR factorization.
template<KernelBackendSelector BackendSelector, class QTensor , class RTensor , class MatrixTensor > requires detail::CompatibleQrTensors<QTensor, RTensor, MatrixTensor>
void	uni20::linalg::qr_factorization (BackendSelector &&selector, QTensor &&q, RTensor &&r, MatrixTensor &&matrix_work, std::optional< Precision > requested={})
	Compute reduced QR in a destructive input workspace through an explicit selector.
template<class QTensor , class RTensor , class MatrixTensor > requires detail::CompatibleQrTensors<QTensor, RTensor, MatrixTensor>
void	uni20::linalg::qr_factorization (QTensor &&q, RTensor &&r, MatrixTensor &&matrix_work, std::optional< Precision > requested={})
	Compute reduced QR in a destructive workspace using tensor storage policy.

Detailed Description

Destructive-workspace and value-producing reduced real or complex QR factorizations.

Precision may be inferred from the input matrix or supplied explicitly. Fixed results require their native precision; runtime decompositions require finite precision. Owning results record the selected default.