uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector > Struct Template Reference

Compressed complex Arnoldi relation after a Schur restart. More...

#include <nonsymmetric_arnoldi.hpp>

Collaboration diagram for uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >:

Public Types
using	Complex = uni20::complex< Real >

Public Attributes
std::vector< Vector >	basis
std::vector< Complex >	eigenvalues
bool	happy_breakdown = false
Vector	residual
std::vector< Complex >	residual_coupling
Real	residual_norm = Real{}
uni20::DenseMatrix< Complex >	schur_form

Detailed Description

template<uni20::LapackComplexReal Real, typename Vector>
struct uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >

Compressed complex Arnoldi relation after a Schur restart.

Represents A V_k = V_k T_k + f b^T, where V_k is the transformed retained basis, T_k is the leading reordered complex Schur form, f is the application-space residual vector, and b is the dense residual-coupling row.

Template Parameters

Real	Underlying real precision.
Vector	Opaque vector type.

Member Typedef Documentation

Complex

template<uni20::LapackComplexReal Real, typename Vector >

using uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::Complex = uni20::complex<Real>

Member Data Documentation

basis

template<uni20::LapackComplexReal Real, typename Vector >

std::vector<Vector> uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::basis

eigenvalues

template<uni20::LapackComplexReal Real, typename Vector >

std::vector<Complex> uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::eigenvalues

happy_breakdown

template<uni20::LapackComplexReal Real, typename Vector >

bool uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::happy_breakdown = false

residual

template<uni20::LapackComplexReal Real, typename Vector >

Vector uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::residual

residual_coupling

template<uni20::LapackComplexReal Real, typename Vector >

std::vector<Complex> uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::residual_coupling

residual_norm

template<uni20::LapackComplexReal Real, typename Vector >

Real uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::residual_norm = Real{}

schur_form

template<uni20::LapackComplexReal Real, typename Vector >

uni20::DenseMatrix<Complex> uni20::krylov::ComplexSchurCompressedArnoldiFactorization< Real, Vector >::schur_form

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The documentation for this struct was generated from the following file:

• nonsymmetric_arnoldi.hpp