sterf.hpp File Reference

#include <batmat/assume.hpp>
#include <batmat/linalg/elementwise.hpp>
#include <batmat/linalg/micro-kernels/sterf.hpp>
#include <batmat/linalg/simdify.hpp>
#include <batmat/linalg/triangular.hpp>
#include <batmat/linalg/uview.hpp>
#include <expected>

Go to the source code of this file.

Classes
struct	batmat::linalg::SterfOptions

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

Functions
template<class T, class Abi>
std::expected< index_t, index_t >	batmat::linalg::detail::sterf (view< T, Abi, StorageOrder::ColMajor > diag, view< T, Abi, StorageOrder::ColMajor > subdiag, SterfOptions options)
template<simdifiable Vd, simdifiable Vs>
std::expected< index_t, index_t >	batmat::linalg::sterf (Vd &&diag, Vs &&subdiag, SterfOptions options={})
	Eigenvalues of a symmetric tridiagonal matrix given by diag and subdiag, computed in-place using the Pal-Walker-Kahan variant of the implicit QR/QL method with Wilkinson shifts.
template<simdifiable VA, simdifiable Vd, simdifiable Vs, MatrixStructure SA>
void	batmat::linalg::extract_bidiag (Structured< VA, SA > A, Vd &&diag, Vs &&offdiag)
	Extracts the diagonal and one off-diagonal from a matrix.

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Class Documentation

batmat::linalg::SterfOptions

struct batmat::linalg::SterfOptions

Class Members
double	relative_tolerance = 0.0	If <= 0, machine epsilon is used.
index_t	max_iterations_per_eigenvalue = 64