potrf.hpp File Reference

#include <batmat/linalg/copy.hpp>
#include <batmat/linalg/flops.hpp>
#include <batmat/linalg/micro-kernels/potrf.hpp>
#include <batmat/linalg/shift.hpp>
#include <batmat/linalg/simdify.hpp>
#include <batmat/linalg/triangular.hpp>
#include <batmat/linalg/uview.hpp>
#include <batmat/loop.hpp>
#include <batmat/matrix/storage.hpp>
#include <guanaqo/trace.hpp>

Go to the source code of this file.

Cholesky factorization of batches of matrices
template<MatrixStructure SC, simdifiable VA, simdifiable VC, simdifiable VD>
void	batmat::linalg::syrk_add_potrf (VA &&A, Structured< VC, SC > C, Structured< VD, SC > D, simdified_value_t< VA > regularization=0)
	D = chol(C + AAᵀ) with C symmetric, D triangular.
template<MatrixStructure SC, simdifiable VA, simdifiable VD>
void	batmat::linalg::syrk_add_potrf (VA &&A, Structured< VD, SC > D)
	D = chol(D + AAᵀ) with D symmetric/triangular.
template<MatrixStructure SC, simdifiable VA, simdifiable VC, simdifiable VD>
void	batmat::linalg::syrk_sub_potrf (VA &&A, Structured< VC, SC > C, Structured< VD, SC > D, simdified_value_t< VA > regularization=0)
	D = chol(C - AAᵀ) with C symmetric, D triangular.
template<MatrixStructure SC, simdifiable VA, simdifiable VD>
void	batmat::linalg::syrk_sub_potrf (VA &&A, Structured< VD, SC > D, simdified_value_t< VA > regularization=0)
	D = chol(D - AAᵀ) with D symmetric/triangular.
template<MatrixStructure SC, simdifiable VA, simdifiable VC, simdifiable VD, simdifiable Vd>
void	batmat::linalg::syrk_diag_add_potrf (VA &&A, Structured< VC, SC > C, Structured< VD, SC > D, Vd &&d, simdified_value_t< VA > regularization=0)
	D = chol(C + A diag(d) Aᵀ) with C symmetric, D triangular.
template<MatrixStructure SC, simdifiable VA, simdifiable VD, simdifiable Vd>
void	batmat::linalg::syrk_diag_add_potrf (VA &&A, Structured< VD, SC > D, Vd &&d)
	D = chol(D + A diag(d) Aᵀ) with D symmetric/triangular.
template<MatrixStructure SC, simdifiable VC, simdifiable VD>
void	batmat::linalg::potrf (Structured< VC, SC > C, Structured< VD, SC > D, simdified_value_t< VC > regularization=0)
	D = chol(C) with C symmetric, D triangular.
template<MatrixStructure SD, simdifiable VD>
void	batmat::linalg::potrf (Structured< VD, SD > D, simdified_value_t< VD > regularization=0)
	D = chol(D) with D symmetric/triangular.

Namespaces
namespace	batmat
namespace	batmat::linalg
namespace	batmat::linalg::detail

Functions
template<class T, class Abi, micro_kernels::potrf::KernelConfig Conf, StorageOrder OA, StorageOrder OCD>
void	batmat::linalg::detail::potrf (view< const T, Abi, OA > A, view< const T, Abi, OCD > C, view< T, Abi, OCD > D, T regularization, micro_kernels::potrf::diag_view_type< const T, Abi, Conf > d={}) noexcept