slogdet.hpp File Reference

Signed or complex-phase logarithmic determinants from reusable LU. More...

#include "lu.hpp"

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Classes
struct	uni20::linalg::LogDeterminant< S >
	Determinant represented without multiplying diagonal magnitudes. More...
struct	uni20::linalg::LogDeterminantResult< S >
	Logarithmic determinant with numerical diagnostics. More...

Namespaces
namespace	uni20
namespace	uni20::linalg

Functions
template<class... Args> requires requires(Args&&... args) { slogdet_with_info(std::forward<Args>(args)...); }
auto	uni20::linalg::slogdet (Args &&... args)
	Return the log-determinant, including conventional zero for singular matrices.
template<RankedTensorView< 2 > A, class... Options> requires RealOrComplex<tensor_element_t<A>>
auto	uni20::linalg::slogdet_with_info (A const &a, Options const &... options)
	Factor and reduce with the default backends for the owned host workspace.
template<KernelBackendSelector Backend, RankedTensorView< 2 > A> requires RealOrComplex<tensor_element_t<A>>
auto	uni20::linalg::slogdet_with_info (Backend &&backend, A const &a, Precision p, SolveOptions< make_real_t< tensor_element_t< A > > > const &options={})
	Factor once at explicit finite precision and return a recoverable log-determinant.
template<KernelBackendSelector Backend, RankedTensorView< 2 > A> requires RealOrComplex<tensor_element_t<A>>
auto	uni20::linalg::slogdet_with_info (Backend &&backend, A const &a, SolveOptions< make_real_t< tensor_element_t< A > > > const &options={})
	Factor once at native or inferred finite precision and reduce its diagonal.
template<RealOrComplex S>
LogDeterminantResult< S >	uni20::linalg::slogdet_with_info (LuFactorization< S > const &factor)
	Reduce completed factors in O(n), without refactoring or changing them.

Detailed Description

Signed or complex-phase logarithmic determinants from reusable LU.