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TMatrix Class Reference

#include <TMatrix.h>

Inheritance diagram for TMatrix:

[legend]Collaboration diagram for TMatrix:

[legend]List of all members.

Public Types
enum	EMatrixCreatorsOp1 { kZero, kUnit, kTransposed, kInverted, kInvertedPosDef }
enum	EMatrixCreatorsOp2 { kMult, kTransposeMult, kInvMult, kInvPosDefMult, kAtBA }
Public Methods
	TMatrix ()
	TMatrix (Int_t nrows, Int_t ncols)
	TMatrix (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb)
	TMatrix (Int_t nrows, Int_t ncols, const Real_t elements, Option_t option="")
	TMatrix (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Real_t elements, Option_t option="")
	TMatrix (const TMatrix &another)
	TMatrix (EMatrixCreatorsOp1 op, const TMatrix &prototype)
	TMatrix (const TMatrix &a, EMatrixCreatorsOp2 op, const TMatrix &b)
	TMatrix (const TLazyMatrix &lazy_constructor)
virtual	~TMatrix ()
void	Draw (Option_t *option="")
void	ResizeTo (Int_t nrows, Int_t ncols)
void	ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb)
void	ResizeTo (const TMatrix &m)
Bool_t	IsValid () const
Bool_t	IsSymmetric () const
Int_t	GetRowLwb () const
Int_t	GetRowUpb () const
Int_t	GetNrows () const
Int_t	GetColLwb () const
Int_t	GetColUpb () const
Int_t	GetNcols () const
Int_t	GetNoElements () const
const Real_t *	GetElements () const
Real_t *	GetElements ()
void	GetElements (Real_t elements, Option_t option="") const
void	SetElements (const Real_t elements, Option_t option="")
const Real_t &	operator() (Int_t rown, Int_t coln) const
Real_t &	operator() (Int_t rown, Int_t coln)
const TMatrixRow	operator[] (Int_t rown) const
TMatrixRow	operator[] (Int_t rown)
TMatrix &	operator= (const TMatrix &source)
TMatrix &	operator= (const TLazyMatrix &source)
TMatrix &	operator= (Real_t val)
TMatrix &	operator-= (Double_t val)
TMatrix &	operator+= (Double_t val)
TMatrix &	operator *= (Double_t val)
Bool_t	operator== (Real_t val) const
Bool_t	operator!= (Real_t val) const
Bool_t	operator< (Real_t val) const
Bool_t	operator<= (Real_t val) const
Bool_t	operator> (Real_t val) const
Bool_t	operator>= (Real_t val) const
TMatrix &	Zero ()
TMatrix &	Abs ()
TMatrix &	Sqr ()
TMatrix &	Sqrt ()
TMatrix &	Apply (const TElementAction &action)
TMatrix &	Apply (const TElementPosAction &action)
TMatrix &	Invert (Double_t *determ_ptr=0)
TMatrix &	InvertPosDef ()
const TMatrix	EigenVectors (TVector &eigenValues) const
TMatrix &	MakeSymmetric ()
TMatrix &	UnitMatrix ()
TMatrix &	operator *= (const TMatrix &source)
TMatrix &	operator *= (const TMatrixDiag &diag)
TMatrix &	operator/= (const TMatrixDiag &diag)
TMatrix &	operator *= (const TMatrixRow &row)
TMatrix &	operator/= (const TMatrixRow &row)
TMatrix &	operator *= (const TMatrixColumn &col)
TMatrix &	operator/= (const TMatrixColumn &col)
void	Mult (const TMatrix &a, const TMatrix &b)
Double_t	RowNorm () const
Double_t	NormInf () const
Double_t	ColNorm () const
Double_t	Norm1 () const
Double_t	E2Norm () const
TMatrix &	NormByDiag (const TVector &v, Option_t *option="D")
TMatrix &	NormByColumn (const TVector &v, Option_t *option="D")
TMatrix &	NormByRow (const TVector &v, Option_t *option="D")
Double_t	Determinant () const
void	Print (Option_t *option="") const
Protected Methods
void	Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0)
	index[i] = &matrix(0,i) (col index)
void	Invalidate ()
void	Transpose (const TMatrix &m)
void	Invert (const TMatrix &m)
void	InvertPosDef (const TMatrix &m)
void	AMultB (const TMatrix &a, const TMatrix &b)
void	AtMultB (const TMatrix &a, const TMatrix &b)
Static Protected Methods
Int_t	Pdcholesky (const Real_t a, Real_t u, const Int_t n)
void	MakeTridiagonal (TMatrix &a, TVector &d, TVector &e)
void	MakeEigenVectors (TVector &d, TVector &e, TMatrix &z)
void	EigenSort (TMatrix &eigenVectors, TVector &eigenValues)
Protected Attributes
Int_t	fNrows
Int_t	fNcols
Int_t	fNelems
Int_t	fRowLwb
Int_t	fColLwb
Real_t *	fElements
Real_t **	fIndex
Friends
class	TVector
class	TMatrixRow
class	TMatrixColumn
class	TMatrixDiag
class	TMatrixFlat
class	TMatrixPivoting
void	MakeHaarMatrix (TMatrix &m)
void	MakeHilbertMatrix (TMatrix &m)
TMatrix &	operator+= (TMatrix &target, const TMatrix &source)
TMatrix &	operator-= (TMatrix &target, const TMatrix &source)
TMatrix &	Add (TMatrix &target, Double_t scalar, const TMatrix &source)
TMatrix &	ElementMult (TMatrix &target, const TMatrix &source)
TMatrix &	ElementDiv (TMatrix &target, const TMatrix &source)
TMatrix	operator+ (const TMatrix &source1, const TMatrix &source2)
TMatrix	operator- (const TMatrix &source1, const TMatrix &source2)
TMatrix	operator * (const TMatrix &source1, const TMatrix &source2)
Bool_t	operator== (const TMatrix &im1, const TMatrix &im2)
void	Compare (const TMatrix &im1, const TMatrix &im2)
Bool_t	AreCompatible (const TMatrix &im1, const TMatrix &im2)
Double_t	E2Norm (const TMatrix &m1, const TMatrix &m2)

Member Enumeration Documentation

enum TMatrix::EMatrixCreatorsOp1

Enumeration values:

kZero

kUnit

kTransposed

kInverted

kInvertedPosDef

Definition at line 111 of file TMatrix.h.

enum TMatrix::EMatrixCreatorsOp2

Enumeration values:

kMult

kTransposeMult

kInvMult

kInvPosDefMult

kAtBA

Definition at line 112 of file TMatrix.h.

Constructor & Destructor Documentation

TMatrix::TMatrix ( )

Definition at line 114 of file TMatrix.h.
References Invalidate().

TMatrix::TMatrix ( Int_t nrows,

Int_t ncols

)

Definition at line 243 of file TMatrix.h.
References Allocate().

TMatrix::TMatrix ( Int_t row_lwb,

Int_t row_upb,

Int_t col_lwb,

Int_t col_upb

)

Definition at line 248 of file TMatrix.h.
References Allocate().

TMatrix::TMatrix ( Int_t nrows,

Int_t ncols,

const Real_t * elements,

Option_t * option = ""

)

Definition at line 275 of file TMatrix.h.
References Allocate(), and SetElements().

TMatrix::TMatrix ( Int_t row_lwb,

Int_t row_upb,

Int_t col_lwb,

Int_t col_upb,

const Real_t * elements,

Option_t * option = ""

)

Definition at line 287 of file TMatrix.h.
References Allocate(), and SetElements().

TMatrix::TMatrix ( const TMatrix & another )

Definition at line 372 of file TMatrix.h.
References Allocate(), and TObject::Error().

TMatrix::TMatrix ( EMatrixCreatorsOp1 op,

const TMatrix & prototype

)

TMatrix::TMatrix ( const TMatrix & a,

EMatrixCreatorsOp2 op,

const TMatrix & b

)

TMatrix::TMatrix ( const TLazyMatrix & lazy_constructor )

Definition at line 316 of file TMatrix.h.
References Allocate(), TLazyMatrix::fColLwb, TLazyMatrix::fColUpb, TLazyMatrix::FillIn(), TLazyMatrix::fRowLwb, and TLazyMatrix::fRowUpb.

virtual TMatrix::~TMatrix ( ) [virtual]

Member Function Documentation

void TMatrix::Allocate ( Int_t nrows,

Int_t ncols,

Int_t row_lwb = 0,

Int_t col_lwb = 0

) [protected]

index[i] = &matrix(0,i) (col index)

Referenced by TMatrix().

void TMatrix::Invalidate ( ) [protected]

Definition at line 93 of file TMatrix.h.
References fElements, fIndex, fNcols, fNelems, and fNrows.
Referenced by TMatrix().

Int_t TMatrix::Pdcholesky ( const Real_t * a,

Real_t * u,

const Int_t n

) [static, protected]

void TMatrix::MakeTridiagonal ( TMatrix & a,

TVector & d,

TVector & e

) [static, protected]

void TMatrix::MakeEigenVectors ( TVector & d,

TVector & e,

TMatrix & z

) [static, protected]

void TMatrix::EigenSort ( TMatrix & eigenVectors,

TVector & eigenValues

) [static, protected]

void TMatrix::Transpose ( const TMatrix & m ) [protected]

void TMatrix::Invert ( const TMatrix & m ) [protected]

void TMatrix::InvertPosDef ( const TMatrix & m ) [protected]

void TMatrix::AMultB ( const TMatrix & a,

const TMatrix & b

) [protected]

void TMatrix::AtMultB ( const TMatrix & a,

const TMatrix & b

) [protected]

void TMatrix::Draw ( Option_t * option = "" ) [virtual]

Reimplemented from TObject.

void TMatrix::ResizeTo ( Int_t nrows,

Int_t ncols

)

Referenced by ResizeTo().

void TMatrix::ResizeTo ( Int_t row_lwb,

Int_t row_upb,

Int_t col_lwb,

Int_t col_upb

)

void TMatrix::ResizeTo ( const TMatrix & m )

Definition at line 381 of file TMatrix.h.
References GetColLwb(), GetColUpb(), GetRowLwb(), GetRowUpb(), and ResizeTo().

Bool_t TMatrix::IsValid ( ) const

Definition at line 230 of file TMatrix.h.
References fNrows.
Referenced by Apply(), AreCompatible(), GetElements(), operator=(), SetElements(), TMatrixColumn::TMatrixColumn(), TMatrixRow::TMatrixRow(), and Zero().

Bool_t TMatrix::IsSymmetric ( ) const

Int_t TMatrix::GetRowLwb ( ) const

Definition at line 135 of file TMatrix.h.
References fRowLwb.
Referenced by operator=(), and ResizeTo().

Int_t TMatrix::GetRowUpb ( ) const

Definition at line 136 of file TMatrix.h.
References fNrows, and fRowLwb.
Referenced by operator=(), and ResizeTo().

Int_t TMatrix::GetNrows ( ) const

Definition at line 137 of file TMatrix.h.
References fNrows.

Int_t TMatrix::GetColLwb ( ) const

Definition at line 138 of file TMatrix.h.
References fColLwb.
Referenced by operator=(), and ResizeTo().

Int_t TMatrix::GetColUpb ( ) const

Definition at line 139 of file TMatrix.h.
References fColLwb, and fNcols.
Referenced by operator=(), and ResizeTo().

Int_t TMatrix::GetNcols ( ) const

Definition at line 140 of file TMatrix.h.
References fNcols.

Int_t TMatrix::GetNoElements ( ) const

Definition at line 141 of file TMatrix.h.
References fNelems.

const Real_t* TMatrix::GetElements ( ) const

Definition at line 142 of file TMatrix.h.
References fElements.

Real_t* TMatrix::GetElements ( )

Definition at line 143 of file TMatrix.h.
References fElements.

void TMatrix::GetElements ( Real_t * elements,

Option_t * option = ""

) const

Definition at line 294 of file TMatrix.h.
References TString::Contains(), TObject::Error(), fElements, fNcols, fNelems, fNrows, IsValid(), and TString::ToUpper().

void TMatrix::SetElements ( const Real_t * elements,

Option_t * option = ""

)

Definition at line 253 of file TMatrix.h.
References TString::Contains(), TObject::Error(), fElements, fNcols, fNelems, fNrows, IsValid(), and TString::ToUpper().
Referenced by TMatrix().

const Real_t& TMatrix::operator() ( Int_t rown,

Int_t coln

) const

Real_t & TMatrix::operator() ( Int_t rown,

Int_t coln

)

Definition at line 386 of file TMatrix.h.

const TMatrixRow TMatrix::operator[] ( Int_t rown ) const

TMatrixRow TMatrix::operator[] ( Int_t rown )

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

Definition at line 363 of file TMatrix.h.
References AreCompatible, fElements, fNelems, and TObject::operator=().

TMatrix & TMatrix::operator= ( const TLazyMatrix & source )

Definition at line 324 of file TMatrix.h.
References TObject::Error(), TLazyMatrix::fColLwb, TLazyMatrix::fColUpb, TLazyMatrix::FillIn(), TLazyMatrix::fRowLwb, TLazyMatrix::fRowUpb, GetColLwb(), GetColUpb(), GetRowLwb(), GetRowUpb(), and IsValid().

TMatrix& TMatrix::operator= ( Real_t val )

TMatrix& TMatrix::operator-= ( Double_t val )

TMatrix& TMatrix::operator+= ( Double_t val )

TMatrix& TMatrix::operator *= ( Double_t val )

Bool_t TMatrix::operator== ( Real_t val ) const

Bool_t TMatrix::operator!= ( Real_t val ) const

Bool_t TMatrix::operator< ( Real_t val ) const

Bool_t TMatrix::operator<= ( Real_t val ) const

Bool_t TMatrix::operator> ( Real_t val ) const

Bool_t TMatrix::operator>= ( Real_t val ) const

TMatrix & TMatrix::Zero ( )

Definition at line 401 of file TMatrix.h.
References TObject::Error(), fElements, fNelems, and IsValid().

TMatrix& TMatrix::Abs ( )

TMatrix& TMatrix::Sqr ( )

TMatrix& TMatrix::Sqrt ( )

TMatrix & TMatrix::Apply ( const TElementAction & action )

Definition at line 410 of file TMatrix.h.
References TObject::Error(), fElements, fNelems, IsValid(), and TElementAction::Operation().

TMatrix & TMatrix::Apply ( const TElementPosAction & action )

Definition at line 420 of file TMatrix.h.
References Assert, TObject::Error(), fColLwb, fElements, TElementPosAction::fI, TElementPosAction::fJ, fNcols, fNelems, fNrows, fRowLwb, IsValid(), and TElementPosAction::Operation().

TMatrix& TMatrix::Invert ( Double_t * determ_ptr = 0 )

TMatrix& TMatrix::InvertPosDef ( )

const TMatrix TMatrix::EigenVectors ( TVector & eigenValues ) const

TMatrix& TMatrix::MakeSymmetric ( )

TMatrix& TMatrix::UnitMatrix ( )

TMatrix& TMatrix::operator *= ( const TMatrix & source )

TMatrix& TMatrix::operator *= ( const TMatrixDiag & diag )

TMatrix& TMatrix::operator/= ( const TMatrixDiag & diag )

TMatrix& TMatrix::operator *= ( const TMatrixRow & row )

TMatrix& TMatrix::operator/= ( const TMatrixRow & row )

TMatrix& TMatrix::operator *= ( const TMatrixColumn & col )

TMatrix& TMatrix::operator/= ( const TMatrixColumn & col )

void TMatrix::Mult ( const TMatrix & a,

const TMatrix & b

)

Double_t TMatrix::RowNorm ( ) const

Referenced by NormInf().

Double_t TMatrix::NormInf ( ) const

Definition at line 193 of file TMatrix.h.
References RowNorm().

Double_t TMatrix::ColNorm ( ) const

Referenced by Norm1().

Double_t TMatrix::Norm1 ( ) const

Definition at line 195 of file TMatrix.h.
References ColNorm().

Double_t TMatrix::E2Norm ( ) const

TMatrix& TMatrix::NormByDiag ( const TVector & v,

Option_t * option = "D"

)

TMatrix& TMatrix::NormByColumn ( const TVector & v,

Option_t * option = "D"

)

TMatrix& TMatrix::NormByRow ( const TVector & v,

Option_t * option = "D"

)

Double_t TMatrix::Determinant ( ) const

void TMatrix::Print ( Option_t * option = "" ) const [virtual]

Reimplemented from TObject.

Friends And Related Function Documentation

friend class TVector [friend]

Definition at line 76 of file TMatrix.h.

friend class TMatrixRow [friend]

Definition at line 77 of file TMatrix.h.

friend class TMatrixColumn [friend]

Definition at line 78 of file TMatrix.h.

friend class TMatrixDiag [friend]

Definition at line 79 of file TMatrix.h.

friend class TMatrixFlat [friend]

Definition at line 80 of file TMatrix.h.

friend class TMatrixPivoting [friend]

Definition at line 81 of file TMatrix.h.

void MakeHaarMatrix ( TMatrix & m ) [friend]

void MakeHilbertMatrix ( TMatrix & m ) [friend]

TMatrix& operator+= ( TMatrix & target,

const TMatrix & source

) [friend]

TMatrix& operator-= ( TMatrix & target,

const TMatrix & source

) [friend]

TMatrix& Add ( TMatrix & target,

Double_t scalar,

const TMatrix & source

) [friend]

TMatrix& ElementMult ( TMatrix & target,

const TMatrix & source

) [friend]

TMatrix& ElementDiv ( TMatrix & target,

const TMatrix & source

) [friend]

TMatrix operator+ ( const TMatrix & source1,

const TMatrix & source2

) [friend]

TMatrix operator- ( const TMatrix & source1,

const TMatrix & source2

) [friend]

TMatrix operator * ( const TMatrix & source1,

const TMatrix & source2

) [friend]

Bool_t operator== ( const TMatrix & im1,

const TMatrix & im2

) [friend]

void Compare ( const TMatrix & im1,

const TMatrix & im2

) [friend]

Bool_t AreCompatible ( const TMatrix & im1,

const TMatrix & im2

) [friend]

Definition at line 343 of file TMatrix.h.
Referenced by operator=().

Double_t E2Norm ( const TMatrix & m1,

const TMatrix & m2

) [friend]

Member Data Documentation

Int_t TMatrix::fNrows [protected]

Definition at line 84 of file TMatrix.h.
Referenced by Apply(), AreCompatible(), GetElements(), GetNrows(), GetRowUpb(), Invalidate(), IsValid(), TMatrixColumn::operator=(), SetElements(), and TMatrixRow::TMatrixRow().

Int_t TMatrix::fNcols [protected]

Definition at line 85 of file TMatrix.h.
Referenced by Apply(), AreCompatible(), GetColUpb(), GetElements(), GetNcols(), Invalidate(), SetElements(), and TMatrixColumn::TMatrixColumn().

Int_t TMatrix::fNelems [protected]

Definition at line 86 of file TMatrix.h.
Referenced by Apply(), GetElements(), GetNoElements(), Invalidate(), TMatrixFlat::operator=(), TMatrixRow::operator=(), operator=(), SetElements(), and Zero().

Int_t TMatrix::fRowLwb [protected]

Definition at line 87 of file TMatrix.h.
Referenced by Apply(), AreCompatible(), GetRowLwb(), GetRowUpb(), and TMatrixRow::TMatrixRow().

Int_t TMatrix::fColLwb [protected]

Definition at line 88 of file TMatrix.h.
Referenced by Apply(), AreCompatible(), GetColLwb(), GetColUpb(), and TMatrixColumn::TMatrixColumn().

Real_t* TMatrix::fElements [protected]

Definition at line 89 of file TMatrix.h.
Referenced by Apply(), GetElements(), Invalidate(), operator=(), SetElements(), and Zero().

Real_t** TMatrix::fIndex [protected]

Definition at line 90 of file TMatrix.h.
Referenced by Invalidate(), TMatrixColumn::TMatrixColumn(), and TMatrixRow::TMatrixRow().

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

TMatrix.h

Generated on Thu Dec 18 15:04:26 2003 for ROOT by

1.2.16

TMatrix Class Reference

Public Types

Public Methods

Protected Methods

Static Protected Methods

Protected Attributes

Friends

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Friends And Related Function Documentation

Member Data Documentation