for solving large system of linear equations More...

#include <MinResSolve.h>

Public Types
enum	{ kPreconBD = 1 , kPreconILU0 = 100 , kPreconILU10 = kPreconILU0 + 10 , kPreconsTot }

enum	{ kSolMinRes , kSolFGMRes , kNSolvers }

Public Member Functions
	MinResSolve ()
	default constructor

	MinResSolve (const MatrixSq mat, const TVectorD rhs)
	copy accepting equation

	MinResSolve (const MatrixSq mat, const double rhs)
	copy accepting equation

	MinResSolve (const MinResSolve &src)
	copy constructor

	~MinResSolve () override
	destructor

MinResSolve &	operator= (const MinResSolve &rhs)
	assignment op.

Bool_t	SolveMinRes (Double_t *VecSol, Int_t precon=0, int itnlim=2000, double rtol=1e-12)
	MINRES method (for symmetric matrices)

Bool_t	SolveMinRes (TVectorD &VecSol, Int_t precon=0, int itnlim=2000, double rtol=1e-12)
	MINRES method (for symmetric matrices)

Bool_t	SolveFGMRES (Double_t *VecSol, Int_t precon=0, int itnlim=2000, double rtol=1e-12, int nkrylov=60)
	FGMRES method (for general symmetric matrices)

Bool_t	SolveFGMRES (TVectorD &VecSol, Int_t precon=0, int itnlim=2000, double rtol=1e-12, int nkrylov=60)
	FGMRES method (for general symmetric matrices)

Bool_t	InitAuxMinRes ()
	init auxiliary space for MinRes

Bool_t	InitAuxFGMRES (int nkrylov)
	init auxiliary space for fgmres

void	ApplyPrecon (const TVectorD &vecRHS, TVectorD &vecOut) const
	apply precond.

void	ApplyPrecon (const double vecRHS, double vecOut) const
	Application of preconditioner matrix: implicitly defines the matrix solving the M*VecOut = VecRHS.

Int_t	BuildPrecon (Int_t val=0)
	preconditioner building

Int_t	GetPrecon () const

void	ClearAux ()
	clear aux. space

Int_t	BuildPreconBD (Int_t hwidth)
	build Band-Diagonal preconditioner

Int_t	BuildPreconILUK (Int_t lofM)
	ILUK preconditioner.

Int_t	BuildPreconILUKDense (Int_t lofM)
	ILUK preconditioner.

Int_t	PreconILUKsymb (Int_t lofM)
	ILUK preconditioner.

Int_t	PreconILUKsymbDense (Int_t lofM)
	ILUK preconditioner.

Protected Member Functions
	ClassDefOverride (MinResSolve, 0)

Protected Attributes
Int_t	fSize
	dimension of the input matrix

Int_t	fPrecon
	preconditioner type

MatrixSq *	fMatrix
	matrix defining the equations

Double_t *	fRHS
	right hand side

Double_t *	fPVecY
	aux. space

Double_t *	fPVecR1

Double_t *	fPVecR2

Double_t *	fPVecV

Double_t *	fPVecW

Double_t *	fPVecW1

Double_t *	fPVecW2

Double_t **	fPvv

Double_t **	fPvz

Double_t **	fPhh

Double_t *	fDiagLU

MatrixSparse *	fMatL

MatrixSparse *	fMatU

SymBDMatrix *	fMatBD

Detailed Description

for solving large system of linear equations

Includes MINRES, FGMRES methods as well as a few precondiotiong methods

Definition at line 36 of file MinResSolve.h.

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
kPreconBD
kPreconILU0
kPreconILU10
kPreconsTot

Definition at line 40 of file MinResSolve.h.

◆ anonymous enum

anonymous enum

Enumerator
kSolMinRes
kSolFGMRes
kNSolvers

Definition at line 44 of file MinResSolve.h.

Constructor & Destructor Documentation

◆ MinResSolve() [1/4]

MinResSolve::MinResSolve ( )

default constructor

Definition at line 29 of file MinResSolve.cxx.

◆ MinResSolve() [2/4]

MinResSolve::MinResSolve	(	const MatrixSq *	mat,
		const TVectorD *	rhs
	)

copy accepting equation

Definition at line 76 of file MinResSolve.cxx.

◆ MinResSolve() [3/4]

MinResSolve::MinResSolve	(	const MatrixSq *	mat,
		const double *	rhs
	)

copy accepting equation

Definition at line 99 of file MinResSolve.cxx.

◆ MinResSolve() [4/4]

MinResSolve::MinResSolve ( const MinResSolve & src )

copy constructor

Definition at line 52 of file MinResSolve.cxx.

◆ ~MinResSolve()

MinResSolve::~MinResSolve ( )

override

destructor

Definition at line 122 of file MinResSolve.cxx.

Member Function Documentation

◆ ApplyPrecon() [1/2]

void MinResSolve::ApplyPrecon	(	const double *	vecRHS,
		double *	vecOut
	)		const

Application of preconditioner matrix: implicitly defines the matrix solving the M*VecOut = VecRHS.

Definition at line 659 of file MinResSolve.cxx.

◆ ApplyPrecon() [2/2]

void MinResSolve::ApplyPrecon	(	const TVectorD &	vecRHS,
		TVectorD &	vecOut
	)		const

apply precond.

Definition at line 652 of file MinResSolve.cxx.

◆ BuildPrecon()

Int_t MinResSolve::BuildPrecon ( Int_t val = 0 )

preconditioner building

Definition at line 140 of file MinResSolve.cxx.

◆ BuildPreconBD()

Int_t MinResSolve::BuildPreconBD ( Int_t hwidth )

build Band-Diagonal preconditioner

Definition at line 776 of file MinResSolve.cxx.

◆ BuildPreconILUK()

Int_t MinResSolve::BuildPreconILUK ( Int_t lofM )

ILUK preconditioner.

Definition at line 810 of file MinResSolve.cxx.

◆ BuildPreconILUKDense()

Int_t MinResSolve::BuildPreconILUKDense ( Int_t lofM )

ILUK preconditioner.

Definition at line 945 of file MinResSolve.cxx.

◆ ClassDefOverride()

o2::fwdalign::MinResSolve::ClassDefOverride	(	MinResSolve	,
		0
	)

protected

◆ ClearAux()

void MinResSolve::ClearAux ( )

clear aux. space

Definition at line 727 of file MinResSolve.cxx.

◆ GetPrecon()

Int_t o2::fwdalign::MinResSolve::GetPrecon ( ) const

inline

Definition at line 94 of file MinResSolve.h.

◆ InitAuxFGMRES()

Bool_t MinResSolve::InitAuxFGMRES ( int nkrylov )

init auxiliary space for fgmres

Definition at line 706 of file MinResSolve.cxx.

◆ InitAuxMinRes()

Bool_t MinResSolve::InitAuxMinRes ( )

init auxiliary space for MinRes

Definition at line 689 of file MinResSolve.cxx.

◆ operator=()

MinResSolve & MinResSolve::operator= ( const MinResSolve & rhs )

assignment op.

Definition at line 128 of file MinResSolve.cxx.

◆ PreconILUKsymb()

Int_t MinResSolve::PreconILUKsymb ( Int_t lofM )

ILUK preconditioner.

Definition at line 1065 of file MinResSolve.cxx.

◆ PreconILUKsymbDense()

Int_t MinResSolve::PreconILUKsymbDense ( Int_t lofM )

ILUK preconditioner.

Definition at line 1214 of file MinResSolve.cxx.

◆ SolveFGMRES() [1/2]

Bool_t o2::fwdalign::MinResSolve::SolveFGMRES	(	Double_t *	VecSol,
		Int_t	precon = `0`,
		int	itnlim = `2000`,
		double	rtol = `1e-12`,
		int	nkrylov = `60`
	)

FGMRES method (for general symmetric matrices)

◆ SolveFGMRES() [2/2]

Bool_t MinResSolve::SolveFGMRES	(	TVectorD &	VecSol,
		Int_t	precon = `0`,
		int	itnlim = `2000`,
		double	rtol = `1e-12`,
		int	nkrylov = `60`
	)

FGMRES method (for general symmetric matrices)

Definition at line 160 of file MinResSolve.cxx.

◆ SolveMinRes() [1/2]

Bool_t o2::fwdalign::MinResSolve::SolveMinRes	(	Double_t *	VecSol,
		Int_t	precon = `0`,
		int	itnlim = `2000`,
		double	rtol = `1e-12`
	)

MINRES method (for symmetric matrices)

◆ SolveMinRes() [2/2]

Bool_t MinResSolve::SolveMinRes	(	TVectorD &	VecSol,
		Int_t	precon = `0`,
		int	itnlim = `2000`,
		double	rtol = `1e-12`
	)

MINRES method (for symmetric matrices)

Definition at line 361 of file MinResSolve.cxx.

Member Data Documentation

◆ fDiagLU

Double_t* o2::fwdalign::MinResSolve::fDiagLU

protected

Definition at line 130 of file MinResSolve.h.

◆ fMatBD

SymBDMatrix* o2::fwdalign::MinResSolve::fMatBD

protected

Definition at line 133 of file MinResSolve.h.

◆ fMatL

MatrixSparse* o2::fwdalign::MinResSolve::fMatL

protected

Definition at line 131 of file MinResSolve.h.

◆ fMatrix

MatrixSq* o2::fwdalign::MinResSolve::fMatrix

protected

matrix defining the equations

Definition at line 117 of file MinResSolve.h.

◆ fMatU

MatrixSparse* o2::fwdalign::MinResSolve::fMatU

protected

Definition at line 132 of file MinResSolve.h.

◆ fPhh

Double_t** o2::fwdalign::MinResSolve::fPhh

protected

Definition at line 129 of file MinResSolve.h.

◆ fPrecon

Int_t o2::fwdalign::MinResSolve::fPrecon

protected

preconditioner type

Definition at line 116 of file MinResSolve.h.

◆ fPVecR1

Double_t* o2::fwdalign::MinResSolve::fPVecR1

protected

Definition at line 121 of file MinResSolve.h.

◆ fPVecR2

Double_t* o2::fwdalign::MinResSolve::fPVecR2

protected

Definition at line 122 of file MinResSolve.h.

◆ fPVecV

Double_t* o2::fwdalign::MinResSolve::fPVecV

protected

Definition at line 123 of file MinResSolve.h.

◆ fPVecW

Double_t* o2::fwdalign::MinResSolve::fPVecW

protected

Definition at line 124 of file MinResSolve.h.

◆ fPVecW1

Double_t* o2::fwdalign::MinResSolve::fPVecW1

protected

Definition at line 125 of file MinResSolve.h.

◆ fPVecW2

Double_t* o2::fwdalign::MinResSolve::fPVecW2

protected

Definition at line 126 of file MinResSolve.h.

◆ fPVecY

Double_t* o2::fwdalign::MinResSolve::fPVecY

protected

aux. space

Definition at line 120 of file MinResSolve.h.

◆ fPvv

Double_t** o2::fwdalign::MinResSolve::fPvv

protected

Definition at line 127 of file MinResSolve.h.

◆ fPvz

Double_t** o2::fwdalign::MinResSolve::fPvz

protected

Definition at line 128 of file MinResSolve.h.

◆ fRHS

Double_t* o2::fwdalign::MinResSolve::fRHS

protected

right hand side

Definition at line 118 of file MinResSolve.h.

◆ fSize

Int_t o2::fwdalign::MinResSolve::fSize

protected

dimension of the input matrix

Definition at line 115 of file MinResSolve.h.

The documentation for this class was generated from the following files:

/home/runner/work/AliceO2/AliceO2/Detectors/ForwardAlign/include/ForwardAlign/MinResSolve.h
/home/runner/work/AliceO2/AliceO2/Detectors/ForwardAlign/src/MinResSolve.cxx

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Detailed Description

Member Enumeration Documentation

◆ anonymous enum

◆ anonymous enum

Constructor & Destructor Documentation

◆ MinResSolve() [1/4]

◆ MinResSolve() [2/4]

◆ MinResSolve() [3/4]

◆ MinResSolve() [4/4]

◆ ~MinResSolve()

Member Function Documentation

◆ ApplyPrecon() [1/2]

◆ ApplyPrecon() [2/2]

◆ BuildPrecon()

◆ BuildPreconBD()

◆ BuildPreconILUK()

◆ BuildPreconILUKDense()

◆ ClassDefOverride()

◆ ClearAux()

◆ GetPrecon()

◆ InitAuxFGMRES()

◆ InitAuxMinRes()

◆ operator=()

◆ PreconILUKsymb()

◆ PreconILUKsymbDense()

◆ SolveFGMRES() [1/2]

◆ SolveFGMRES() [2/2]

◆ SolveMinRes() [1/2]

◆ SolveMinRes() [2/2]

Member Data Documentation

◆ fDiagLU

◆ fMatBD

◆ fMatL

◆ fMatrix

◆ fMatU

◆ fPhh

◆ fPrecon

◆ fPVecR1

◆ fPVecR2

◆ fPVecV

◆ fPVecW

◆ fPVecW1

◆ fPVecW2

◆ fPVecY

◆ fPvv

◆ fPvz

◆ fRHS

◆ fSize