gmres.cpp File Reference

#include <iostream>
#include <iomanip>
#include <math.h>
#include "vector.hpp"
#include "matrix.hpp"
#include "densemat.hpp"

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Functions
void	GeneratePlaneRotation (double &dx, double &dy, double &cs, double &sn)
void	ApplyPlaneRotation (double &dx, double &dy, double &cs, double &sn)
void	Update (Vector &x, int k, DenseMatrix &h, Vector &s, Array< Vector * > &v)
double	norm (Vector &u)
int	GMRES (const Operator &A, Vector &x, const Vector &b, const Operator &M, int &max_iter, int m, double &tol, double &atol, int printit)
	A GMRES solver.
int	aGMRES (const Operator &A, Vector &x, const Vector &b, const Operator &M, int &max_iter, int m_max, int m_min, int m_step, double cf, double &tol, double &atol, int printit)

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Function Documentation

int aGMRES	(	const Operator &	A,
		Vector &	x,
		const Vector &	b,
		const Operator &	M,
		int &	max_iter,
		int	m_max,
		int	m_min,
		int	m_step,
		double	cf,
		double &	tol,
		double &	atol,
		int	printit
	)

Adaptive restarted GMRES. m_max and m_min(=1) are the maximal and minimal restart parameters. m_step(=1) is the step to use for going from m_max and m_min. cf(=0.4) is a desired convergance factor.

Definition at line 200 of file gmres.cpp.

References DenseMatrix::Add(), Add(), ApplyPlaneRotation(), GeneratePlaneRotation(), Operator::Mult(), norm(), Operator::Size(), subtract(), and Update().

void ApplyPlaneRotation	(	double &	dx,
		double &	dy,
		double &	cs,
		double &	sn
	)		[inline]

Definition at line 56 of file gmres.cpp.

Referenced by aGMRES(), and GMRES().

void GeneratePlaneRotation	(	double &	dx,
		double &	dy,
		double &	cs,
		double &	sn
	)		[inline]

Definition at line 40 of file gmres.cpp.

Referenced by aGMRES(), and GMRES().

int GMRES	(	const Operator &	A,
		Vector &	x,
		const Vector &	b,
		const Operator &	M,
		int &	max_iter,
		int	m,
		double &	tol,
		double &	atol,
		int	printit
	)

A GMRES solver.

Definition at line 84 of file gmres.cpp.

References DenseMatrix::Add(), Add(), ApplyPlaneRotation(), GeneratePlaneRotation(), Operator::Mult(), norm(), Operator::Size(), subtract(), and Update().

double norm

(

Vector &

u

)

[inline]

Definition at line 78 of file gmres.cpp.

Referenced by aGMRES(), VectorDiffusionIntegrator::AssembleElementMatrix(), VectorMassIntegrator::AssembleElementMatrix(), ComputeLpNorm(), SparseMatrix::GetJacobiScaling(), GMRES(), and SparseMatrix::Jacobi2().

void Update	(	Vector &	x,
		int	k,
		DenseMatrix &	h,
		Vector &	s,
		Array< Vector * > &	v
	)		[inline]

Definition at line 63 of file gmres.cpp.

References Vector::Add(), and Vector::Size().

Referenced by aGMRES(), and GMRES().