Sparse Symmetric Decomposition class.

Solve a sparse symmetric system of linear equations using a method based on Gaussian elimination as discussed in Duff and Reid, ACM Trans. Math. Software 9 (1983), 302-325.

Definition at line 43 of file TDecompSparse.h.

Public Member Functions
	TDecompSparse ()
	Default constructor. More...

	TDecompSparse (Int_t nRows, Int_t nr_nonZeros, Int_t verbose)
	Constructor for a matrix with nrows and unspecified number of columns . More...

	TDecompSparse (Int_t row_lwb, Int_t row_upb, Int_t nr_nonZeros, Int_t verbose)
	Constructor for a matrix with row range, [row_lwb..row_upb] and unspecified column range . More...

	TDecompSparse (const TMatrixDSparse &a, Int_t verbose)
	Constructor for matrix A . More...

	TDecompSparse (const TDecompSparse &another)
	Copy constructor. More...

virtual	~TDecompSparse ()

virtual Bool_t	Decompose ()
	Decomposition engine . More...

virtual void	Det (Double_t &, Double_t &)
	Matrix determinant det = d1*TMath::Power(2.,d2) More...

virtual Int_t	GetNcols () const

virtual Int_t	GetNrows () const

TDecompSparse &	operator= (const TDecompSparse &source)
	Assignment operator. More...

void	Print (Option_t *opt="") const
	Print class members. More...

virtual void	SetMatrix (const TMatrixDSparse &a)
	Set matrix to be decomposed . More...

void	SetVerbose (Int_t v)

virtual Bool_t	Solve (TVectorD &b)
	Solve Ax=b . Solution returned in b. More...

virtual TVectorD	Solve (const TVectorD &b, Bool_t &ok)

virtual Bool_t	Solve (TMatrixDColumn &)

virtual Bool_t	TransSolve (TVectorD &b)

virtual TVectorD	TransSolve (const TVectorD &b, Bool_t &ok)

virtual Bool_t	TransSolve (TMatrixDColumn &)

Public Member Functions inherited from TDecompBase
	TDecompBase ()
	Default constructor. More...

	TDecompBase (const TDecompBase &another)
	Copy constructor. More...

virtual	~TDecompBase ()

virtual Double_t	Condition ()
	Matrix condition number. More...

Int_t	GetColLwb () const

Double_t	GetCondition () const

Double_t	GetDet1 () const

Double_t	GetDet2 () const

Int_t	GetRowLwb () const

Double_t	GetTol () const

virtual Bool_t	MultiSolve (TMatrixD &B)
	Solve set of equations with RHS in columns of B. More...

TDecompBase &	operator= (const TDecompBase &source)
	Assignment operator. More...

Double_t	SetTol (Double_t tol)

Public Member Functions inherited from TObject
	TObject ()
	TObject constructor. More...

	TObject (const TObject &object)
	TObject copy ctor. More...

virtual	~TObject ()
	TObject destructor. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

virtual void	AppendPad (Option_t *option="")
	Append graphics object to current pad. More...

virtual void	Browse (TBrowser *b)
	Browse object. May be overridden for another default action. More...

virtual const char *	ClassName () const
	Returns name of class to which the object belongs. More...

virtual void	Clear (Option_t *="")

virtual TObject *	Clone (const char *newname="") const
	Make a clone of an object using the Streamer facility. More...

virtual Int_t	Compare (const TObject *obj) const
	Compare abstract method. More...

virtual void	Copy (TObject &object) const
	Copy this to obj. More...

virtual void	Delete (Option_t *option="")
	Delete this object. More...

virtual Int_t	DistancetoPrimitive (Int_t px, Int_t py)
	Computes distance from point (px,py) to the object. More...

virtual void	Draw (Option_t *option="")
	Default Draw method for all objects. More...

virtual void	DrawClass () const
	Draw class inheritance tree of the class to which this object belongs. More...

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad for instance with: `gROOT->SetSelectedPad(gPad)`. More...

virtual void	Dump () const
	Dump contents of object on stdout. More...

virtual void	Error (const char method, const char msgfmt,...) const
	Issue error message. More...

virtual void	Execute (const char method, const char params, Int_t *error=0)
	Execute method on this object with the given parameter string, e.g. More...

virtual void	Execute (TMethod method, TObjArray params, Int_t *error=0)
	Execute method on this object with parameters stored in the TObjArray. More...

virtual void	ExecuteEvent (Int_t event, Int_t px, Int_t py)
	Execute action corresponding to an event at (px,py). More...

virtual void	Fatal (const char method, const char msgfmt,...) const
	Issue fatal error message. More...

virtual TObject *	FindObject (const char *name) const
	Must be redefined in derived classes. More...

virtual TObject *	FindObject (const TObject *obj) const
	Must be redefined in derived classes. More...

virtual Option_t *	GetDrawOption () const
	Get option used by the graphics system to draw this object. More...

virtual const char *	GetIconName () const
	Returns mime type name of object. More...

virtual const char *	GetName () const
	Returns name of object. More...

virtual char *	GetObjectInfo (Int_t px, Int_t py) const
	Returns string containing info about the object at position (px,py). More...

virtual Option_t *	GetOption () const

virtual const char *	GetTitle () const
	Returns title of object. More...

virtual UInt_t	GetUniqueID () const
	Return the unique object id. More...

virtual Bool_t	HandleTimer (TTimer *timer)
	Execute action in response of a timer timing out. More...

virtual ULong_t	Hash () const
	Return hash value for this object. More...

virtual void	Info (const char method, const char msgfmt,...) const
	Issue info message. More...

virtual Bool_t	InheritsFrom (const char *classname) const
	Returns kTRUE if object inherits from class "classname". More...

virtual Bool_t	InheritsFrom (const TClass *cl) const
	Returns kTRUE if object inherits from TClass cl. More...

virtual void	Inspect () const
	Dump contents of this object in a graphics canvas. More...

void	InvertBit (UInt_t f)

virtual Bool_t	IsEqual (const TObject *obj) const
	Default equal comparison (objects are equal if they have the same address in memory). More...

virtual Bool_t	IsFolder () const
	Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More...

Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

Bool_t	IsZombie () const

virtual void	ls (Option_t *option="") const
	The ls function lists the contents of a class on stdout. More...

void	MayNotUse (const char *method) const
	Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More...

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification. More...

void	Obsolete (const char method, const char asOfVers, const char *removedFromVers) const
	Use this method to declare a method obsolete. More...

void	operator delete (void *ptr)
	Operator delete. More...

void	operator delete[] (void *ptr)
	Operator delete []. More...

void *	operator new (size_t sz)

void *	operator new (size_t sz, void *vp)

void *	operator new[] (size_t sz)

void *	operator new[] (size_t sz, void *vp)

TObject &	operator= (const TObject &rhs)
	TObject assignment operator. More...

virtual void	Paint (Option_t *option="")
	This method must be overridden if a class wants to paint itself. More...

virtual void	Pop ()
	Pop on object drawn in a pad to the top of the display list. More...

virtual Int_t	Read (const char *name)
	Read contents of object with specified name from the current directory. More...

virtual void	RecursiveRemove (TObject *obj)
	Recursively remove this object from a list. More...

void	ResetBit (UInt_t f)

virtual void	SaveAs (const char filename="", Option_t option="") const
	Save this object in the file specified by filename. More...

virtual void	SavePrimitive (std::ostream &out, Option_t *option="")
	Save a primitive as a C++ statement(s) on output stream "out". More...

void	SetBit (UInt_t f, Bool_t set)
	Set or unset the user status bits as specified in f. More...

void	SetBit (UInt_t f)

virtual void	SetDrawOption (Option_t *option="")
	Set drawing option for object. More...

virtual void	SetUniqueID (UInt_t uid)
	Set the unique object id. More...

virtual void	SysError (const char method, const char msgfmt,...) const
	Issue system error message. More...

Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

virtual void	UseCurrentStyle ()
	Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...

virtual void	Warning (const char method, const char msgfmt,...) const
	Issue warning message. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
	Write this object to the current directory. More...

virtual Int_t	Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
	Write this object to the current directory. More...

Protected Member Functions
Int_t	ErrorFlag ()

virtual const TMatrixDBase &	GetDecompMatrix () const

Double_t	GetThresholdPivoting ()

Double_t	GetTreatAsZero ()

Int_t	IError ()

void	InitParam ()
	initializing control parameters More...

Int_t	MinIntWorkspace ()

Int_t	MinRealWorkspace ()

void	SetThresholdPivoting (Double_t piv)

void	SetTreatAsZero (Double_t tol)

Protected Member Functions inherited from TDecompBase
Int_t	Hager (Double_t &est, Int_t iter=5)

void	ResetStatus ()

Protected Member Functions inherited from TObject
virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

void	MakeZombie ()

Static Protected Member Functions
static void	CopyUpperTriang (const TMatrixDSparse &a, Double_t *b)
	Static function, copying the non-zero entries in the upper triangle to array b . More...

static void	Factor (const Int_t n, const Int_t nz, TArrayI &Airn, TArrayI &Aicn, TArrayD &Aa, TArrayI &Aiw, TArrayI &Aikeep, const Int_t nsteps, Int_t &maxfrt, TArrayI &Aiw1, Int_t icntl, Double_t cntl, Int_t *info)
	Factorization routine, the workhorse for the decomposition step. More...

static void	Factor_sub1 (const Int_t n, const Int_t nz, Int_t &nz1, Double_t a, const Int_t la, Int_t irn, Int_t icn, Int_t iw, const Int_t liw, Int_t perm, Int_t iw2, Int_t icntl, Int_t info)
	Help routine for factorization. More...

static void	Factor_sub2 (const Int_t n, const Int_t nz, Double_t a, const Int_t la, Int_t iw, const Int_t liw, Int_t perm, Int_t nstk, const Int_t nsteps, Int_t &maxfrt, Int_t nelim, Int_t iw2, Int_t icntl, Double_t cntl, Int_t *info)
	Help routine for factorization. More...

static void	Factor_sub3 (Double_t a, Int_t iw, Int_t &j1, Int_t &j2, const Int_t itop, const Int_t ireal, Int_t &ncmpbr, Int_t &ncmpbi)
	Help routine for factorization. More...

static Int_t	IDiag (Int_t ix, Int_t iy)

static void	InitPivot (const Int_t n, const Int_t nz, TArrayI &Airn, TArrayI &Aicn, TArrayI &Aiw, TArrayI &Aikeep, TArrayI &Aiw1, Int_t &nsteps, const Int_t iflag, Int_t icntl, Double_t cntl, Int_t *info, Double_t &ops)
	Setup Pivoting variables. More...

static void	InitPivot_sub1 (const Int_t n, const Int_t nz, Int_t irn, Int_t icn, Int_t iw, Int_t ipe, Int_t iq, Int_t flag, Int_t &iwfr, Int_t icntl, Int_t info)
	Help routine for pivoting setup. More...

static void	InitPivot_sub2 (const Int_t n, Int_t ipe, Int_t iw, const Int_t lw, Int_t &iwfr, Int_t nv, Int_t nxt, Int_t lst, Int_t ipd, Int_t *flag, const Int_t iovflo, Int_t &ncmpa, const Double_t fratio)
	Help routine for pivoting setup. More...

static void	InitPivot_sub2a (const Int_t n, Int_t ipe, Int_t iw, const Int_t lw, Int_t &iwfr, Int_t &ncmpa)
	Help routine for pivoting setup. More...

static void	InitPivot_sub3 (const Int_t n, const Int_t nz, Int_t irn, Int_t icn, Int_t perm, Int_t iw, Int_t ipe, Int_t iq, Int_t flag, Int_t &iwfr, Int_t icntl, Int_t *info)
	Help routine for pivoting setup. More...

static void	InitPivot_sub4 (const Int_t n, Int_t ipe, Int_t iw, const Int_t lw, Int_t &iwfr, Int_t ips, Int_t ipv, Int_t nv, Int_t flag, Int_t &ncmpa)
	Help routine for pivoting setup. More...

static void	InitPivot_sub5 (const Int_t n, Int_t ipe, Int_t nv, Int_t ips, Int_t ne, Int_t na, Int_t nd, Int_t &nsteps, const Int_t nemin)
	Help routine for pivoting setup. More...

static void	InitPivot_sub6 (const Int_t n, const Int_t nz, Int_t irn, Int_t icn, Int_t perm, Int_t na, Int_t ne, Int_t nd, const Int_t nsteps, Int_t lstki, Int_t lstkr, Int_t iw, Int_t info, Double_t &ops)
	Help routine for pivoting setup. More...

static Int_t	NonZerosUpperTriang (const TMatrixDSparse &a)
	Static function, returning the number of non-zero entries in the upper triangular matrix . More...

static void	Solve (const Int_t n, TArrayD &Aa, TArrayI &Aiw, TArrayD &Aw, const Int_t maxfrt, TVectorD &b, TArrayI &Aiw1, const Int_t nsteps, Int_t icntl, Int_t info)
	Main routine for solving Ax=b. More...

static void	Solve_sub1 (const Int_t n, Double_t a, Int_t iw, Double_t w, Double_t rhs, Int_t iw2, const Int_t nblk, Int_t &latop, Int_t icntl)
	Help routine for solving. More...

static void	Solve_sub2 (const Int_t n, Double_t a, Int_t iw, Double_t w, Double_t rhs, Int_t iw2, const Int_t nblk, const Int_t latop, Int_t icntl)
	Help routine for solving. More...

Static Protected Member Functions inherited from TDecompBase
static void	DiagProd (const TVectorD &diag, Double_t tol, Double_t &d1, Double_t &d2)

Protected Attributes
TMatrixDSparse	fA

Double_t	fCntl [6]

TArrayI	fColFact

TArrayD	fFact

Int_t	fIcntl [31]

TArrayI	fIkeep

Int_t	fInfo [21]

Double_t	fIPessimism

TArrayI	fIw

TArrayI	fIw1

TArrayI	fIw2

Int_t	fMaxfrt

Int_t	fNnonZeros

Int_t	fNrows

Int_t	fNsteps

Double_t	fPrecision

TArrayI	fRowFact

Double_t	fRPessimism

Int_t	fVerbose

TArrayD	fW

Protected Attributes inherited from TDecompBase
Int_t	fColLwb

Double_t	fCondition

Double_t	fDet1

Double_t	fDet2

Int_t	fRowLwb

Double_t	fTol

Additional Inherited Members
Public Types inherited from TObject
enum	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }

enum	{ kSingleKey = BIT(0), kOverwrite = BIT(1), kWriteDelete = BIT(2) }

enum	EStatusBits { kCanDelete = BIT(0), kMustCleanup = BIT(3), kObjInCanvas = BIT(3), kIsReferenced = BIT(4), kHasUUID = BIT(5), kCannotPick = BIT(6), kNoContextMenu = BIT(8), kInvalidObject = BIT(13) }

Static Public Member Functions inherited from TObject
static Long_t	GetDtorOnly ()
	Return destructor only flag. More...

static Bool_t	GetObjectStat ()
	Get status of object stat flag. More...

static void	SetDtorOnly (void *obj)
	Set destructor only flag. More...

static void	SetObjectStat (Bool_t stat)
	Turn on/off tracking of objects in the TObjectTable. More...

Protected Types inherited from TDecompBase
enum	{ kWorkMax = 100 }

enum	EMatrixDecompStat { kInit = BIT(14), kPatternSet = BIT(15), kValuesSet = BIT(16), kMatrixSet = BIT(17), kDecomposed = BIT(18), kDetermined = BIT(19), kCondition = BIT(20), kSingular = BIT(21) }

#include <TDecompSparse.h>

Inheritance diagram for TDecompSparse:

[legend]

Constructor & Destructor Documentation

◆ TDecompSparse() [1/5]

TDecompSparse::TDecompSparse ( )

Default constructor.

Definition at line 30 of file TDecompSparse.cxx.

◆ TDecompSparse() [2/5]

TDecompSparse::TDecompSparse	(	Int_t	nRows,
		Int_t	nr_nonZeros,
		Int_t	verbose
	)

Constructor for a matrix with nrows and unspecified number of columns .

nr_nonZeros is the total number of non-zero entries in the matrix .

Definition at line 41 of file TDecompSparse.cxx.

◆ TDecompSparse() [3/5]

TDecompSparse::TDecompSparse	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	nr_nonZeros,
		Int_t	verbose
	)

Constructor for a matrix with row range, [row_lwb..row_upb] and unspecified column range .

nr_nonZeros is the total number of non-zero entries in the matrix .

Definition at line 67 of file TDecompSparse.cxx.

◆ TDecompSparse() [4/5]

TDecompSparse::TDecompSparse	(	const TMatrixDSparse &	a,
		Int_t	verbose
	)

Constructor for matrix A .

Definition at line 94 of file TDecompSparse.cxx.

◆ TDecompSparse() [5/5]

TDecompSparse::TDecompSparse ( const TDecompSparse & another )

Copy constructor.

Definition at line 107 of file TDecompSparse.cxx.

◆ ~TDecompSparse()

virtual TDecompSparse::~TDecompSparse ( )

inlinevirtual

Definition at line 148 of file TDecompSparse.h.

Member Function Documentation

◆ CopyUpperTriang()

void TDecompSparse::CopyUpperTriang	(	const TMatrixDSparse &	a,
		Double_t *	b
	)

staticprotected

Static function, copying the non-zero entries in the upper triangle to array b .

User should allocate enough memory for array b .

Definition at line 139 of file TDecompSparse.cxx.

◆ Decompose()

Bool_t TDecompSparse::Decompose ( )

virtual

Decomposition engine .

If the decomposition succeeds, bit kDecomposed is set .

Implements TDecompBase.

Definition at line 234 of file TDecompSparse.cxx.

◆ Det()

virtual void TDecompSparse::Det	(	Double_t &	d1,
		Double_t &	d2
	)

inlinevirtual

Matrix determinant det = d1*TMath::Power(2.,d2)

Reimplemented from TDecompBase.

Definition at line 169 of file TDecompSparse.h.

◆ ErrorFlag()

Int_t TDecompSparse::ErrorFlag ( )

inlineprotected

Definition at line 124 of file TDecompSparse.h.

◆ Factor()

void TDecompSparse::Factor	(	const Int_t	n,
		const Int_t	nz,
		TArrayI &	Airn,
		TArrayI &	Aicn,
		TArrayD &	Aa,
		TArrayI &	Aiw,
		TArrayI &	Aikeep,
		const Int_t	nsteps,
		Int_t &	maxfrt,
		TArrayI &	Aiw1,
		Int_t *	icntl,
		Double_t *	cntl,
		Int_t *	info
	)

staticprotected

Factorization routine, the workhorse for the decomposition step.

Definition at line 581 of file TDecompSparse.cxx.

◆ Factor_sub1()

void TDecompSparse::Factor_sub1	(	const Int_t	n,
		const Int_t	nz,
		Int_t &	nz1,
		Double_t *	a,
		const Int_t	la,
		Int_t *	irn,
		Int_t *	icn,
		Int_t *	iw,
		const Int_t	liw,
		Int_t *	perm,
		Int_t *	iw2,
		Int_t *	icntl,
		Int_t *	info
	)

staticprotected

Help routine for factorization.

Definition at line 1741 of file TDecompSparse.cxx.

◆ Factor_sub2()

void TDecompSparse::Factor_sub2	(	const Int_t	n,
		const Int_t	nz,
		Double_t *	a,
		const Int_t	la,
		Int_t *	iw,
		const Int_t	liw,
		Int_t *	perm,
		Int_t *	nstk,
		const Int_t	nsteps,
		Int_t &	maxfrt,
		Int_t *	nelim,
		Int_t *	iw2,
		Int_t *	icntl,
		Double_t *	cntl,
		Int_t *	info
	)

staticprotected

Help routine for factorization.

Definition at line 1883 of file TDecompSparse.cxx.

◆ Factor_sub3()

void TDecompSparse::Factor_sub3	(	Double_t *	a,
		Int_t *	iw,
		Int_t &	j1,
		Int_t &	j2,
		const Int_t	itop,
		const Int_t	ireal,
		Int_t &	ncmpbr,
		Int_t &	ncmpbi
	)

staticprotected

Help routine for factorization.

Definition at line 2389 of file TDecompSparse.cxx.

◆ GetDecompMatrix()

virtual const TMatrixDBase& TDecompSparse::GetDecompMatrix ( ) const

inlineprotectedvirtual

Implements TDecompBase.

Definition at line 139 of file TDecompSparse.h.

◆ GetNcols()

virtual Int_t TDecompSparse::GetNcols ( ) const

inlinevirtual

Implements TDecompBase.

Definition at line 155 of file TDecompSparse.h.

◆ GetNrows()

virtual Int_t TDecompSparse::GetNrows ( ) const

inlinevirtual

Implements TDecompBase.

Definition at line 154 of file TDecompSparse.h.

◆ GetThresholdPivoting()

Double_t TDecompSparse::GetThresholdPivoting ( )

inlineprotected

Definition at line 130 of file TDecompSparse.h.

◆ GetTreatAsZero()

Double_t TDecompSparse::GetTreatAsZero ( )

inlineprotected

Definition at line 131 of file TDecompSparse.h.

◆ IDiag()

static Int_t TDecompSparse::IDiag	(	Int_t	ix,
		Int_t	iy
	)

inlinestaticprotected

Definition at line 119 of file TDecompSparse.h.

◆ IError()

Int_t TDecompSparse::IError ( )

inlineprotected

Definition at line 121 of file TDecompSparse.h.

◆ InitParam()

void TDecompSparse::InitParam ( )

protected

initializing control parameters

Definition at line 413 of file TDecompSparse.cxx.

◆ InitPivot()

void TDecompSparse::InitPivot	(	const Int_t	n,
		const Int_t	nz,
		TArrayI &	Airn,
		TArrayI &	Aicn,
		TArrayI &	Aiw,
		TArrayI &	Aikeep,
		TArrayI &	Aiw1,
		Int_t &	nsteps,
		const Int_t	iflag,
		Int_t *	icntl,
		Double_t *	cntl,
		Int_t *	info,
		Double_t &	ops
	)

staticprotected

Setup Pivoting variables.

Definition at line 470 of file TDecompSparse.cxx.

◆ InitPivot_sub1()

void TDecompSparse::InitPivot_sub1	(	const Int_t	n,
		const Int_t	nz,
		Int_t *	irn,
		Int_t *	icn,
		Int_t *	iw,
		Int_t *	ipe,
		Int_t *	iq,
		Int_t *	flag,
		Int_t &	iwfr,
		Int_t *	icntl,
		Int_t *	info
	)

staticprotected

Help routine for pivoting setup.

Definition at line 836 of file TDecompSparse.cxx.

◆ InitPivot_sub2()

void TDecompSparse::InitPivot_sub2	(	const Int_t	n,
		Int_t *	ipe,
		Int_t *	iw,
		const Int_t	lw,
		Int_t &	iwfr,
		Int_t *	nv,
		Int_t *	nxt,
		Int_t *	lst,
		Int_t *	ipd,
		Int_t *	flag,
		const Int_t	iovflo,
		Int_t &	ncmpa,
		const Double_t	fratio
	)

staticprotected

Help routine for pivoting setup.

Definition at line 975 of file TDecompSparse.cxx.

◆ InitPivot_sub2a()

void TDecompSparse::InitPivot_sub2a	(	const Int_t	n,
		Int_t *	ipe,
		Int_t *	iw,
		const Int_t	lw,
		Int_t &	iwfr,
		Int_t &	ncmpa
	)

staticprotected

Help routine for pivoting setup.

Definition at line 1305 of file TDecompSparse.cxx.

◆ InitPivot_sub3()

void TDecompSparse::InitPivot_sub3	(	const Int_t	n,
		const Int_t	nz,
		Int_t *	irn,
		Int_t *	icn,
		Int_t *	perm,
		Int_t *	iw,
		Int_t *	ipe,
		Int_t *	iq,
		Int_t *	flag,
		Int_t &	iwfr,
		Int_t *	icntl,
		Int_t *	info
	)

staticprotected

Help routine for pivoting setup.

Definition at line 1349 of file TDecompSparse.cxx.

◆ InitPivot_sub4()

void TDecompSparse::InitPivot_sub4	(	const Int_t	n,
		Int_t *	ipe,
		Int_t *	iw,
		const Int_t	lw,
		Int_t &	iwfr,
		Int_t *	ips,
		Int_t *	ipv,
		Int_t *	nv,
		Int_t *	flag,
		Int_t &	ncmpa
	)

staticprotected

Help routine for pivoting setup.

Definition at line 1471 of file TDecompSparse.cxx.

◆ InitPivot_sub5()

void TDecompSparse::InitPivot_sub5	(	const Int_t	n,
		Int_t *	ipe,
		Int_t *	nv,
		Int_t *	ips,
		Int_t *	ne,
		Int_t *	na,
		Int_t *	nd,
		Int_t &	nsteps,
		const Int_t	nemin
	)

staticprotected

Help routine for pivoting setup.

Definition at line 1548 of file TDecompSparse.cxx.

◆ InitPivot_sub6()

void TDecompSparse::InitPivot_sub6	(	const Int_t	n,
		const Int_t	nz,
		Int_t *	irn,
		Int_t *	icn,
		Int_t *	perm,
		Int_t *	na,
		Int_t *	ne,
		Int_t *	nd,
		const Int_t	nsteps,
		Int_t *	lstki,
		Int_t *	lstkr,
		Int_t *	iw,
		Int_t *	info,
		Double_t &	ops
	)

staticprotected

Help routine for pivoting setup.

Definition at line 1637 of file TDecompSparse.cxx.

◆ MinIntWorkspace()

Int_t TDecompSparse::MinIntWorkspace ( )

inlineprotected

Definition at line 123 of file TDecompSparse.h.

◆ MinRealWorkspace()

Int_t TDecompSparse::MinRealWorkspace ( )

inlineprotected

Definition at line 122 of file TDecompSparse.h.

◆ NonZerosUpperTriang()

Int_t TDecompSparse::NonZerosUpperTriang ( const TMatrixDSparse & a )

staticprotected

Static function, returning the number of non-zero entries in the upper triangular matrix .

Definition at line 115 of file TDecompSparse.cxx.

◆ operator=()

TDecompSparse & TDecompSparse::operator= ( const TDecompSparse & source )

Assignment operator.

Definition at line 2702 of file TDecompSparse.cxx.

◆ Print()

void TDecompSparse::Print ( Option_t * opt = "" ) const

virtual

Print class members.

Reimplemented from TDecompBase.

Definition at line 2686 of file TDecompSparse.cxx.

◆ SetMatrix()

void TDecompSparse::SetMatrix ( const TMatrixDSparse & a )

virtual

Set matrix to be decomposed .

Definition at line 161 of file TDecompSparse.cxx.

◆ SetThresholdPivoting()

void TDecompSparse::SetThresholdPivoting ( Double_t piv )

inlineprotected

Definition at line 136 of file TDecompSparse.h.

◆ SetTreatAsZero()

void TDecompSparse::SetTreatAsZero ( Double_t tol )

inlineprotected

Definition at line 137 of file TDecompSparse.h.

◆ SetVerbose()

void TDecompSparse::SetVerbose ( Int_t v )

inline

Definition at line 150 of file TDecompSparse.h.

◆ Solve() [1/4]

void TDecompSparse::Solve	(	const Int_t	n,
		TArrayD &	Aa,
		TArrayI &	Aiw,
		TArrayD &	Aw,
		const Int_t	maxfrt,
		TVectorD &	b,
		TArrayI &	Aiw1,
		const Int_t	nsteps,
		Int_t *	icntl,
		Int_t *	info
	)

staticprotected

Main routine for solving Ax=b.

Definition at line 738 of file TDecompSparse.cxx.

◆ Solve() [2/4]

Bool_t TDecompSparse::Solve ( TVectorD & b )

virtual

Solve Ax=b . Solution returned in b.

Implements TDecompBase.

Definition at line 341 of file TDecompSparse.cxx.

◆ Solve() [3/4]

virtual TVectorD TDecompSparse::Solve	(	const TVectorD &	b,
		Bool_t &	ok
	)

inlinevirtual

Implements TDecompBase.

Definition at line 161 of file TDecompSparse.h.

◆ Solve() [4/4]

virtual Bool_t TDecompSparse::Solve ( TMatrixDColumn & )

inlinevirtual

Implements TDecompBase.

Definition at line 162 of file TDecompSparse.h.

◆ Solve_sub1()

void TDecompSparse::Solve_sub1	(	const Int_t	n,
		Double_t *	a,
		Int_t *	iw,
		Double_t *	w,
		Double_t *	rhs,
		Int_t *	iw2,
		const Int_t	nblk,
		Int_t &	latop,
		Int_t *	icntl
	)

staticprotected

Help routine for solving.

Definition at line 2423 of file TDecompSparse.cxx.

◆ Solve_sub2()

void TDecompSparse::Solve_sub2	(	const Int_t	n,
		Double_t *	a,
		Int_t *	iw,
		Double_t *	w,
		Double_t *	rhs,
		Int_t *	iw2,
		const Int_t	nblk,
		const Int_t	latop,
		Int_t *	icntl
	)

staticprotected

Help routine for solving.

Definition at line 2553 of file TDecompSparse.cxx.

◆ TransSolve() [1/3]

virtual Bool_t TDecompSparse::TransSolve ( TVectorD & b )

inlinevirtual

Implements TDecompBase.

Definition at line 164 of file TDecompSparse.h.

◆ TransSolve() [2/3]

virtual TVectorD TDecompSparse::TransSolve	(	const TVectorD &	b,
		Bool_t &	ok
	)

inlinevirtual

Implements TDecompBase.

Definition at line 165 of file TDecompSparse.h.

◆ TransSolve() [3/3]

virtual Bool_t TDecompSparse::TransSolve ( TMatrixDColumn & )

inlinevirtual

Implements TDecompBase.

Definition at line 166 of file TDecompSparse.h.

Member Data Documentation

◆ fA

TMatrixDSparse TDecompSparse::fA

protected

Definition at line 69 of file TDecompSparse.h.

◆ fCntl

Double_t TDecompSparse::fCntl[6]

protected

Definition at line 50 of file TDecompSparse.h.

◆ fColFact

TArrayI TDecompSparse::fColFact

protected

Definition at line 75 of file TDecompSparse.h.

◆ fFact

TArrayD TDecompSparse::fFact

protected

Definition at line 72 of file TDecompSparse.h.

◆ fIcntl

Int_t TDecompSparse::fIcntl[31]

protected

Definition at line 49 of file TDecompSparse.h.

◆ fIkeep

TArrayI TDecompSparse::fIkeep

protected

Definition at line 57 of file TDecompSparse.h.

◆ fInfo

Int_t TDecompSparse::fInfo[21]

protected

Definition at line 51 of file TDecompSparse.h.

◆ fIPessimism

Double_t TDecompSparse::fIPessimism

protected

Definition at line 65 of file TDecompSparse.h.

◆ fIw

TArrayI TDecompSparse::fIw

protected

Definition at line 58 of file TDecompSparse.h.

◆ fIw1

TArrayI TDecompSparse::fIw1

protected

Definition at line 59 of file TDecompSparse.h.

◆ fIw2

TArrayI TDecompSparse::fIw2

protected

Definition at line 60 of file TDecompSparse.h.

◆ fMaxfrt

Int_t TDecompSparse::fMaxfrt

protected

Definition at line 62 of file TDecompSparse.h.

◆ fNnonZeros

Int_t TDecompSparse::fNnonZeros

protected

Definition at line 71 of file TDecompSparse.h.

◆ fNrows

Int_t TDecompSparse::fNrows

protected

Definition at line 70 of file TDecompSparse.h.

◆ fNsteps

Int_t TDecompSparse::fNsteps

protected

Definition at line 61 of file TDecompSparse.h.

◆ fPrecision

Double_t TDecompSparse::fPrecision

protected

Definition at line 53 of file TDecompSparse.h.

◆ fRowFact

TArrayI TDecompSparse::fRowFact

protected

Definition at line 74 of file TDecompSparse.h.

◆ fRPessimism

Double_t TDecompSparse::fRPessimism

protected

Definition at line 66 of file TDecompSparse.h.

◆ fVerbose

Int_t TDecompSparse::fVerbose

protected

Definition at line 47 of file TDecompSparse.h.

◆ fW

TArrayD TDecompSparse::fW

protected

Definition at line 63 of file TDecompSparse.h.

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

math/matrix/inc/TDecompSparse.h
math/matrix/src/TDecompSparse.cxx

Public Member Functions

Protected Member Functions

Static Protected Member Functions

Protected Attributes

Additional Inherited Members

Constructor & Destructor Documentation

◆ TDecompSparse() [1/5]

◆ TDecompSparse() [2/5]

◆ TDecompSparse() [3/5]

◆ TDecompSparse() [4/5]

◆ TDecompSparse() [5/5]

◆ ~TDecompSparse()

Member Function Documentation

◆ CopyUpperTriang()

◆ Decompose()

◆ Det()

◆ ErrorFlag()

◆ Factor()

◆ Factor_sub1()

◆ Factor_sub2()

◆ Factor_sub3()

◆ GetDecompMatrix()

◆ GetNcols()

◆ GetNrows()

◆ GetThresholdPivoting()

◆ GetTreatAsZero()

◆ IDiag()

◆ IError()

◆ InitParam()

◆ InitPivot()

◆ InitPivot_sub1()

◆ InitPivot_sub2()

◆ InitPivot_sub2a()

◆ InitPivot_sub3()

◆ InitPivot_sub4()

◆ InitPivot_sub5()

◆ InitPivot_sub6()

◆ MinIntWorkspace()

◆ MinRealWorkspace()

◆ NonZerosUpperTriang()

◆ operator=()

◆ Print()

◆ SetMatrix()

◆ SetThresholdPivoting()

◆ SetTreatAsZero()

◆ SetVerbose()

◆ Solve() [1/4]

◆ Solve() [2/4]

◆ Solve() [3/4]

◆ Solve() [4/4]

◆ Solve_sub1()

◆ Solve_sub2()

◆ TransSolve() [1/3]

◆ TransSolve() [2/3]

◆ TransSolve() [3/3]

Member Data Documentation

◆ fA

◆ fCntl

◆ fColFact

◆ fFact

◆ fIcntl

◆ fIkeep

◆ fInfo

◆ fIPessimism

◆ fIw

◆ fIw1

◆ fIw2

◆ fMaxfrt

◆ fNnonZeros

◆ fNrows

◆ fNsteps

◆ fPrecision

◆ fRowFact

◆ fRPessimism

◆ fVerbose

◆ fW