uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector > Struct Template Reference

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

#include <nonsymmetric_arnoldi.hpp>

Collaboration diagram for uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >:

Public Attributes
std::vector< Vector >	basis
std::vector< RealSchurBlock< Scalar > >	blocks
std::vector< uni20::complex< Scalar > >	eigenvalues
bool	enlarged_to_preserve_block = false
bool	happy_breakdown = false
Vector	residual
std::vector< Scalar >	residual_coupling
Scalar	residual_norm = Scalar{}
uni20::DenseMatrix< Scalar >	schur_form

Detailed Description

template<uni20::LapackReal Scalar, typename Vector>
struct uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >

Compressed real 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 real Schur form, f is the application-space residual vector, and b is the dense residual-coupling row. This is the state that a Krylov-Schur restart expands back to ncv.

Template Parameters

Scalar	Real scalar type.
Vector	Opaque vector type.

Member Data Documentation

basis

template<uni20::LapackReal Scalar, typename Vector >

std::vector<Vector> uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::basis

blocks

template<uni20::LapackReal Scalar, typename Vector >

std::vector<RealSchurBlock<Scalar> > uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::blocks

eigenvalues

template<uni20::LapackReal Scalar, typename Vector >

std::vector<uni20::complex<Scalar> > uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::eigenvalues

enlarged_to_preserve_block

template<uni20::LapackReal Scalar, typename Vector >

bool uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::enlarged_to_preserve_block = false

happy_breakdown

template<uni20::LapackReal Scalar, typename Vector >

bool uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::happy_breakdown = false

residual

template<uni20::LapackReal Scalar, typename Vector >

Vector uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::residual

residual_coupling

template<uni20::LapackReal Scalar, typename Vector >

std::vector<Scalar> uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::residual_coupling

residual_norm

template<uni20::LapackReal Scalar, typename Vector >

Scalar uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::residual_norm = Scalar{}

schur_form

template<uni20::LapackReal Scalar, typename Vector >

uni20::DenseMatrix<Scalar> uni20::krylov::RealSchurCompressedArnoldiFactorization< Scalar, Vector >::schur_form

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

• nonsymmetric_arnoldi.hpp