svd.hpp File Reference

Async Tensor wrappers for exact dense singular value decompositions. More...

#include <uni20/async/async.hpp>
#include <uni20/async/debug_scheduler.hpp>
#include <uni20/linalg/ops/svd.hpp>
#include <type_traits>
#include <utility>

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Namespaces
namespace	uni20
namespace	uni20::linalg

Functions
template<class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::singular_values (async::Async< MatrixTensor > &&matrix, std::optional< Precision > requested={})
	Schedule consuming exact singular values using the static Tensor selector.
template<uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::singular_values (async::Async< MatrixTensor > const &matrix, std::optional< Precision > requested={})
	Schedule preserving exact singular values using the static Tensor selector.
template<KernelBackendSelector BackendSelector, class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::singular_values (BackendSelector selector, async::Async< MatrixTensor > &&matrix, std::optional< Precision > requested={})
	Schedule consuming exact singular values through an explicit selector.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::singular_values (BackendSelector selector, async::Async< MatrixTensor > const &matrix, std::optional< Precision > requested={})
	Schedule preserving exact singular values through an explicit selector.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd (async::Async< Matrix > &&matrix, Precision p, SvdOptions options={})
	Compute SVD at explicit working precision with optional output settings.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd (async::Async< Matrix > const &matrix, Precision p, SvdOptions options={})
	Compute SVD at explicit working precision with optional output settings.
template<class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd (async::Async< MatrixTensor > &&matrix, SvdOptions options={}, std::optional< Precision > requested={})
	Schedule a consuming exact SVD using the static Tensor selector.
template<uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd (async::Async< MatrixTensor > const &matrix, SvdOptions options={}, std::optional< Precision > requested={})
	Schedule a preserving exact SVD using the static Tensor selector.
template<KernelBackendSelector BackendSelector, class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd (BackendSelector selector, async::Async< MatrixTensor > &&matrix, SvdOptions options={}, std::optional< Precision > requested={})
	Schedule a consuming exact SVD through an explicit selector.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd (BackendSelector selector, async::Async< MatrixTensor > const &matrix, SvdOptions options={}, std::optional< Precision > requested={})
	Schedule a preserving exact SVD through an explicit selector.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd (Selector &&selector, async::Async< Matrix > &&matrix, Precision p, SvdOptions options={})
	Compute SVD at explicit working precision with optional output settings.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd (Selector &&selector, async::Async< Matrix > const &matrix, Precision p, SvdOptions options={})
	Compute SVD at explicit working precision with optional output settings.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_left (async::Async< Matrix > &&matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute left SVD factors at explicit working precision with optional output settings.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_left (async::Async< Matrix > const &matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute left SVD factors at explicit working precision with optional output settings.
template<class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd_left (async::Async< MatrixTensor > &&matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule consuming left singular vectors using the static Tensor selector.
template<uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd_left (async::Async< MatrixTensor > const &matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule preserving left singular vectors using the static Tensor selector.
template<KernelBackendSelector BackendSelector, class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd_left (BackendSelector selector, async::Async< MatrixTensor > &&matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule consuming left singular vectors through an explicit selector.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd_left (BackendSelector selector, async::Async< MatrixTensor > const &matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule preserving left singular vectors through an explicit selector.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_left (Selector &&selector, async::Async< Matrix > &&matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute left SVD factors at explicit working precision with optional output settings.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_left (Selector &&selector, async::Async< Matrix > const &matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute left SVD factors at explicit working precision with optional output settings.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_right (async::Async< Matrix > &&matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute right SVD factors at explicit working precision with optional output settings.
template<RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_right (async::Async< Matrix > const &matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute right SVD factors at explicit working precision with optional output settings.
template<class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd_right (async::Async< MatrixTensor > &&matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule consuming right singular vectors using the static Tensor selector.
template<uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd_right (async::Async< MatrixTensor > const &matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule preserving right singular vectors using the static Tensor selector.
template<KernelBackendSelector BackendSelector, class MatrixTensor > requires uni20::OwningTensor<MatrixTensor> && uni20::MutableRankedTensorView<MatrixTensor, 2>
auto	uni20::linalg::svd_right (BackendSelector selector, async::Async< MatrixTensor > &&matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule consuming right singular vectors through an explicit selector.
template<KernelBackendSelector BackendSelector, uni20::RankedTensorView< 2 > MatrixTensor>
auto	uni20::linalg::svd_right (BackendSelector selector, async::Async< MatrixTensor > const &matrix, SvdVectorExtent extent=SvdVectorExtent::Reduced, std::optional< Precision > requested={})
	Schedule preserving right singular vectors through an explicit selector.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_right (Selector &&selector, async::Async< Matrix > &&matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute right SVD factors at explicit working precision with optional output settings.
template<KernelBackendSelector Selector, RankedTensorView< 2 > Matrix>
auto	uni20::linalg::svd_right (Selector &&selector, async::Async< Matrix > const &matrix, Precision p, SvdVectorExtent extent=SvdVectorExtent::Reduced)
	Compute right SVD factors at explicit working precision with optional output settings.

Detailed Description

Async Tensor wrappers for exact dense singular value decompositions.

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. Inference occurs only after the input epoch is readable.