Ifpack2_Details_Chebyshev_Weights.hpp File Reference

Definition of Chebyshev implementation. More...

#include <stdexcept>
#include <vector>
#include "Teuchos_StandardParameterEntryValidators.hpp"

Go to the source code of this file.

Namespaces
namespace	Ifpack2
	Preconditioners and smoothers for Tpetra sparse matrices.

Functions
template<typename ScalarType >
std::vector< ScalarType >	Ifpack2::Details::optimalWeightsImpl (const int chebyOrder)
	Generate optimal weights for using the fourth kind Chebyshev polynomials see: https://arxiv.org/pdf/2202.08830.pdf for details.

Detailed Description

Definition of Chebyshev implementation.

Author

Malachi Phillips

This file is meant for Ifpack2 developers only, not for users. It defines the weights needed for fourth kind Chebyshev polynomials with optimal weights. See: https://arxiv.org/pdf/2202.08830.pdf for details.

Function Documentation

optimalWeightsImpl()

template<typename ScalarType >

std::vector< ScalarType > Ifpack2::Details::optimalWeightsImpl

(

const int

chebyOrder

)

Generate optimal weights for using the fourth kind Chebyshev polynomials see: https://arxiv.org/pdf/2202.08830.pdf for details.

Precondition

0 < chebyOrder <= 16 – this is an arbitrary distinction, but the weights are currently hard-coded from the MATLAB scripts from https://arxiv.org/pdf/2202.08830.pdf.

Parameters

chebyOrder

[in] Number of Chebyshev iterations.