gmres.hpp File Reference

Restarted right-preconditioned GMRES over opaque vector operations. More...

#include <uni20/core/runtime_precision.hpp>
#include <uni20/krylov/gmres_diagnostics.hpp>
#include <uni20/krylov/matrix_free.hpp>

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Classes
struct	uni20::krylov::gmres_detail::Rotation< S >
struct	uni20::krylov::gmres_detail::Tolerances< R >
struct	uni20::krylov::GmresInfo< R >
	Recoverable solve outcome; counters include attempted operator calls. More...
struct	uni20::krylov::GmresOptions< R >
	Residual stopping policy and storage/iteration limits. More...
struct	uni20::krylov::IdentityPreconditioner< Ops >
	Identity preconditioner using the supplied vector copy operation. More...

Namespaces
namespace	uni20
namespace	uni20::krylov
namespace	uni20::krylov::gmres_detail

Concepts
concept	uni20::krylov::KrylovPreconditioner
	Fixed linear inverse-preconditioner application, output <- M^{-1} input.

Enumerations
enum class	uni20::krylov::GmresStatus {   uni20::krylov::converged , uni20::krylov::iteration_limit , uni20::krylov::stagnated , uni20::krylov::breakdown ,   uni20::krylov::nonfinite_input , uni20::krylov::nonfinite_result }
	Numerical termination of a matrix-free linear solve. More...

Functions
template<RealOrComplex S, class Ops , class Op , class P , class V > requires KrylovVectorOps<Ops, V, S> && KrylovOperator<Op, V> && KrylovPreconditioner<P, V>
GmresInfo< make_real_t< S > >	uni20::krylov::gmres_with_info (Ops &ops, Op &op, P &preconditioner, V &x, V const &b, GmresOptions< make_real_t< S > > const &options, Precision precision)
	Solve A*x=b with restarted GMRES and a fixed right preconditioner.
template<RealOrComplex S, class Ops , class Op , class P , class V > requires (!has_runtime_precision_v<S>) && KrylovVectorOps<Ops, V, S> && KrylovOperator<Op, V> && KrylovPreconditioner<P, V>
auto	uni20::krylov::gmres_with_info (Ops &ops, Op &op, P &preconditioner, V &x, V const &b, GmresOptions< make_real_t< S > > const &options={})
	Fixed-scalar GMRES using the scalar's native precision.
template<RealOrComplex S, class Ops , class Op , class V > requires KrylovVectorOps<Ops, V, S> && KrylovOperator<Op, V>
auto	uni20::krylov::gmres_with_info (Ops &ops, Op &op, V &x, V const &b, GmresOptions< make_real_t< S > > const &options, Precision p)
	GMRES without preconditioning, at explicit scalar precision.
template<RealOrComplex S, class Ops , class Op , class V > requires (!has_runtime_precision_v<S>) && KrylovVectorOps<Ops, V, S> && KrylovOperator<Op, V>
auto	uni20::krylov::gmres_with_info (Ops &ops, Op &op, V &x, V const &b, GmresOptions< make_real_t< S > > const &options={})
	Fixed-scalar GMRES without preconditioning.
template<RealOrComplex S, class Ops , class V >
std::optional< make_real_t< S > >	uni20::krylov::gmres_detail::norm (Ops &ops, V const &v, Precision p)
template<RealOrComplex S, class Ops , class V >
void	uni20::krylov::gmres_detail::normalize (Ops &ops, V &v, make_real_t< S > const &length, Precision p)
template<Real R>
bool	uni20::krylov::gmres_detail::reached (R const &residual, R const &rhs, R const &relative, R const &absolute)
template<class S >
void	uni20::krylov::gmres_detail::rotate (Rotation< S > const &rotation, S &x, S &y)
template<RealOrComplex S>
Rotation< S >	uni20::krylov::gmres_detail::rotation (S const &f, S const &g, Precision p)
template<Real R>
Tolerances< R >	uni20::krylov::gmres_detail::tolerances (GmresOptions< R > const &options, Precision precision)

Detailed Description

Restarted right-preconditioned GMRES over opaque vector operations.