template<class Element>
class TMatrixT< Element >

Template class of a general matrix in the linear algebra package

Definition at line 24 of file TMatrixDfwd.h.

Public Types
enum	{ kWorkMax = 100 }

enum	EMatrixCreatorsOp1 { kZero, kUnit, kTransposed, kInverted, kAtA }

enum	EMatrixCreatorsOp2 { kMult, kTransposeMult, kInvMult, kMultTranspose, kPlus, kMinus }

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) }

Public Member Functions
	TMatrixT ()

	TMatrixT (Int_t nrows, Int_t ncols)
	Constructor for (nrows x ncols) matrix. More...

	TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb)
	Constructor for ([row_lwb..row_upb] x [col_lwb..col_upb]) matrix. More...

	TMatrixT (Int_t nrows, Int_t ncols, const Element data, Option_t option="")
	option="F": array elements contains the matrix stored column-wise like in Fortran, so a[i,j] = elements[i+no_rowsj], else it is supposed that array elements are stored row-wise a[i,j] = elements[ino_cols+j] More...

	TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element data, Option_t option="")
	array elements are copied More...

	TMatrixT (const TMatrixT< Element > &another)
	Copy constructor. More...

	TMatrixT (const TMatrixTSym< Element > &another)
	Copy constructor of a symmetric matrix. More...

	TMatrixT (const TMatrixTSparse< Element > &another)
	Copy constructor of a sparse matrix. More...

template<class Element2 >
	TMatrixT (const TMatrixT< Element2 > &another)

	TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype)
	Constructor of matrix applying a specific operation to the prototype. More...

	TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b)
	Constructor of matrix applying a specific operation to two prototypes. More...

	TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b)
	Constructor of matrix applying a specific operation to two prototypes. More...

	TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b)
	Constructor of matrix applying a specific operation to two prototypes. More...

	TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b)
	Constructor of matrix applying a specific operation to two prototypes. More...

	TMatrixT (const TMatrixTLazy< Element > &lazy_constructor)
	Constructor using the TMatrixTLazy class. More...

virtual	~TMatrixT ()

virtual void	Clear (Option_t *="")

virtual Double_t	Determinant () const
	Return the matrix determinant. More...

virtual void	Determinant (Double_t &d1, Double_t &d2) const
	Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2) More...

const TMatrixT< Element >	EigenVectors (TVectorT< Element > &eigenValues) const
	Return a matrix containing the eigen-vectors ordered by descending values of Re^2+Im^2 of the complex eigen-values . More...

virtual const Int_t *	GetColIndexArray () const

virtual Int_t *	GetColIndexArray ()

virtual const Element *	GetMatrixArray () const

virtual Element *	GetMatrixArray ()

virtual const Int_t *	GetRowIndexArray () const

virtual Int_t *	GetRowIndexArray ()

virtual TMatrixTBase< Element > &	GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, TMatrixTBase< Element > &target, Option_t *option="S") const
	Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More...

TMatrixT< Element >	GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const

TMatrixT< Element > &	Invert (Double_t *det=0)
	Invert the matrix and calculate its determinant. More...

TMatrixT< Element > &	InvertFast (Double_t *det=0)
	Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used . More...

void	Minus (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	General matrix summation. Create a matrix C such that C = A - B. More...

void	Minus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
	General matrix summation. Create a matrix C such that C = A - B. More...

void	Minus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)

void	Mult (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	General matrix multiplication. Create a matrix C such that C = A * B. More...

void	Mult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
	Matrix multiplication, with A general and B symmetric. More...

void	Mult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)
	Matrix multiplication, with A symmetric and B general. More...

void	Mult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
	Matrix multiplication, with A symmetric and B symmetric. More...

void	MultT (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	General matrix multiplication. Create a matrix C such that C = A * B^T. More...

void	MultT (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)

void	MultT (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)
	Matrix multiplication, with A symmetric and B general. More...

void	MultT (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)

TMatrixT< Element > &	NormByColumn (const TVectorT< Element > &v, Option_t *option="D")
	Multiply/divide matrix columns by a vector: option: "D" : b(i,j) = a(i,j)/v(i) i = 0,fNrows-1 (default) else : b(i,j) = a(i,j)*v(i) More...

TMatrixT< Element > &	NormByRow (const TVectorT< Element > &v, Option_t *option="D")
	Multiply/divide matrix rows with a vector: option: "D" : b(i,j) = a(i,j)/v(j) i = 0,fNcols-1 (default) else : b(i,j) = a(i,j)*v(j) More...

Element	operator() (Int_t rown, Int_t coln) const

Element &	operator() (Int_t rown, Int_t coln)

TMatrixT< Element > &	operator*= (Element val)
	Multiply every element of the matrix with val. More...

TMatrixT< Element > &	operator*= (const TMatrixT< Element > &source)
	Compute target = target * source inplace. More...

TMatrixT< Element > &	operator*= (const TMatrixTSym< Element > &source)
	Compute target = target * source inplace. More...

TMatrixT< Element > &	operator*= (const TMatrixTDiag_const< Element > &diag)
	Multiply a matrix row by the diagonal of another matrix matrix(i,j) *= diag(j), j=0,fNcols-1. More...

TMatrixT< Element > &	operator*= (const TMatrixTRow_const< Element > &row)
	Multiply a matrix by the row of another matrix matrix(i,j) *= another(k,j) for fixed k. More...

TMatrixT< Element > &	operator*= (const TMatrixTColumn_const< Element > &col)
	Multiply a matrix by the column of another matrix matrix(i,j) *= another(i,k) for fixed k. More...

TMatrixT< Element > &	operator+= (Element val)
	Add val to every element of the matrix. More...

TMatrixT< Element > &	operator+= (const TMatrixT< Element > &source)
	Add the source matrix. More...

TMatrixT< Element > &	operator+= (const TMatrixTSym< Element > &source)
	Add the source matrix. More...

TMatrixT< Element > &	operator-= (Element val)
	Subtract val from every element of the matrix. More...

TMatrixT< Element > &	operator-= (const TMatrixT< Element > &source)
	Subtract the source matrix. More...

TMatrixT< Element > &	operator-= (const TMatrixTSym< Element > &source)
	Subtract the source matrix. More...

TMatrixT< Element > &	operator/= (const TMatrixTDiag_const< Element > &diag)
	Divide a matrix row by the diagonal of another matrix matrix(i,j) /= diag(j) More...

TMatrixT< Element > &	operator/= (const TMatrixTRow_const< Element > &row)
	Divide a matrix by the row of another matrix matrix(i,j) /= another(k,j) for fixed k. More...

TMatrixT< Element > &	operator/= (const TMatrixTColumn_const< Element > &col)
	Divide a matrix by the column of another matrix matrix(i,j) /= another(i,k) for fixed k. More...

TMatrixT< Element > &	operator= (const TMatrixT< Element > &source)
	Assignment operator. More...

TMatrixT< Element > &	operator= (const TMatrixTSym< Element > &source)
	Assignment operator. More...

TMatrixT< Element > &	operator= (const TMatrixTSparse< Element > &source)
	Assignment operator. More...

TMatrixT< Element > &	operator= (const TMatrixTLazy< Element > &source)
	Assignment operator. More...

template<class Element2 >
TMatrixT< Element > &	operator= (const TMatrixT< Element2 > &source)

TMatrixT< Element > &	operator= (Element val)
	Assign val to every element of the matrix. More...

const TMatrixTRow_const< Element >	operator[] (Int_t rown) const

TMatrixTRow< Element >	operator[] (Int_t rown)

void	Plus (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	General matrix summation. Create a matrix C such that C = A + B. More...

void	Plus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
	General matrix summation. Create a matrix C such that C = A + B. More...

void	Plus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)

TMatrixT< Element > &	Rank1Update (const TVectorT< Element > &v, Element alpha=1.0)
	Perform a rank 1 operation on matrix A: A += alpha * v * v^T. More...

TMatrixT< Element > &	Rank1Update (const TVectorT< Element > &v1, const TVectorT< Element > &v2, Element alpha=1.0)
	Perform a rank 1 operation on matrix A: A += alpha * v1 * v2^T. More...

virtual TMatrixTBase< Element > &	ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1)
	Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...

virtual TMatrixTBase< Element > &	ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1)
	Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...

TMatrixTBase< Element > &	ResizeTo (const TMatrixT< Element > &m)

virtual TMatrixTBase< Element > &	SetColIndexArray (Int_t *)

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *)

virtual TMatrixTBase< Element > &	SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source)
	Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];. More...

Element	Similarity (const TVectorT< Element > &v) const
	Calculate scalar v * (this) v^T. More...

TMatrixT< Element > &	T ()

void	TMult (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	Create a matrix C such that C = A' * B. More...

void	TMult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
	Create a matrix C such that C = A' * B. More...

void	TMult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)

void	TMult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)

TMatrixT< Element > &	Transpose (const TMatrixT< Element > &source)
	Transpose matrix source. More...

TMatrixT< Element > &	Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Element *data)
	Use the array data to fill the matrix ([row_lwb..row_upb] x [col_lwb..col_upb]) More...

const TMatrixT< Element > &	Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element *data) const

TMatrixT< Element > &	Use (Int_t nrows, Int_t ncols, Element *data)

const TMatrixT< Element > &	Use (Int_t nrows, Int_t ncols, const Element *data) const

TMatrixT< Element > &	Use (TMatrixT< Element > &a)

const TMatrixT< Element > &	Use (const TMatrixT< Element > &a) const

Public Member Functions inherited from TMatrixTBase< Element >
	TMatrixTBase ()

virtual	~TMatrixTBase ()

virtual TMatrixTBase< Element > &	Abs ()
	Take an absolute value of a matrix, i.e. apply Abs() to each element. More...

virtual TMatrixTBase< Element > &	Apply (const TElementActionT< Element > &action)
	Apply action to each matrix element. More...

virtual TMatrixTBase< Element > &	Apply (const TElementPosActionT< Element > &action)
	Apply action to each element of the matrix. More...

virtual Element	ColNorm () const
	Column matrix norm, MAX{ SUM{ \|M(i,j)\|, over i}, over j}. More...

void	Draw (Option_t *option="")
	Draw this matrix The histogram is named "TMatrixT" by default and no title. More...

virtual Element	E2Norm () const
	Square of the Euclidian norm, SUM{ m(i,j)^2 }. More...

virtual void	ExtractRow (Int_t row, Int_t col, Element *v, Int_t n=-1) const
	Store in array v, n matrix elements of row rown starting at column coln. More...

Int_t	GetColLwb () const

Int_t	GetColUpb () const

virtual void	GetMatrix2Array (Element data, Option_t option="") const
	Copy matrix data to array . More...

Int_t	GetNcols () const

Int_t	GetNoElements () const

Int_t	GetNrows () const

Int_t	GetRowLwb () const

Int_t	GetRowUpb () const

Element	GetTol () const

virtual TMatrixTBase< Element > &	InsertRow (Int_t row, Int_t col, const Element *v, Int_t n=-1)
	Copy n elements from array v to row rown starting at column coln. More...

void	Invalidate ()

Bool_t	IsOwner () const

virtual Bool_t	IsSymmetric () const
	Check whether matrix is symmetric. More...

Bool_t	IsValid () const

void	MakeValid ()

virtual Element	Max () const
	return maximum vector element value More...

virtual Element	Min () const
	return minimum matrix element value More...

virtual Int_t	NonZeros () const
	Compute the number of elements != 0.0. More...

Element	Norm1 () const

virtual TMatrixTBase< Element > &	NormByDiag (const TVectorT< Element > &v, Option_t *option="D")
	option: More...

Element	NormInf () const

Bool_t	operator!= (Element val) const
	Are all matrix elements not equal to val? More...

Bool_t	operator< (Element val) const
	Are all matrix elements < val? More...

Bool_t	operator<= (Element val) const
	Are all matrix elements <= val? More...

Bool_t	operator== (Element val) const
	Are all matrix elements equal to val? More...

Bool_t	operator> (Element val) const
	Are all matrix elements > val? More...

Bool_t	operator>= (Element val) const
	Are all matrix elements >= val? More...

void	Print (Option_t *name="") const
	Print the matrix as a table of elements. More...

virtual TMatrixTBase< Element > &	Randomize (Element alpha, Element beta, Double_t &seed)
	Randomize matrix element values. More...

virtual Element	RowNorm () const
	Row matrix norm, MAX{ SUM{ \|M(i,j)\|, over j}, over i}. More...

virtual TMatrixTBase< Element > &	SetMatrixArray (const Element data, Option_t option="")
	Copy array data to matrix . More...

Element	SetTol (Element tol)

virtual TMatrixTBase< Element > &	Shift (Int_t row_shift, Int_t col_shift)
	Shift the row index by adding row_shift and the column index by adding col_shift, respectively. More...

virtual TMatrixTBase< Element > &	Sqr ()
	Square each element of the matrix. More...

virtual TMatrixTBase< Element > &	Sqrt ()
	Take square root of all elements. More...

virtual Element	Sum () const
	Compute sum of elements. More...

virtual TMatrixTBase< Element > &	UnitMatrix ()
	Make a unit matrix (matrix need not be a square one). More...

virtual TMatrixTBase< Element > &	Zero ()
	Set matrix elements to zero. More...

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 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	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 pad. 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
void	Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0, Int_t init=0, Int_t=-1)
	Allocate new matrix. More...

void	Delete_m (Int_t size, Element *&)
	Delete data pointer m, if it was assigned on the heap. More...

Int_t	Memcpy_m (Element newp, const Element oldp, Int_t copySize, Int_t newSize, Int_t oldSize)
	Copy copySize doubles from oldp to newp . More...

Element *	New_m (Int_t size)
	Return data pointer . More...

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 ()

Protected Attributes
Element	fDataStack [TMatrixTBase< Element >::kSizeMax]

Element *	fElements
	data container More...

Protected Attributes inherited from TMatrixTBase< Element >
Int_t	fColLwb

Bool_t	fIsOwner

Int_t	fNcols

Int_t	fNelems

Int_t	fNrowIndex

Int_t	fNrows

Int_t	fRowLwb

Element	fTol

Additional Inherited Members
Static Public Member Functions inherited from TMatrixTBase< Element >
static Element &	NaNValue ()

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 TMatrixTBase< Element >
enum	{ kSizeMax = 25 }

enum	{ kWorkMax = 100 }

enum	EMatrixStatusBits { kStatus = BIT(14) }

Static Protected Member Functions inherited from TMatrixTBase< Element >
static void	DoubleLexSort (Int_t n, Int_t first, Int_t second, Element *data)
	default kTRUE, when Use array kFALSE More...

static void	IndexedLexSort (Int_t n, Int_t first, Int_t swapFirst, Int_t second, Int_t swapSecond, Int_t *index)
	Lexical sort on array data using indices first and second. More...

#include <TMatrixDfwd.h>

Inheritance diagram for TMatrixT< Element >:

[legend]

Member Enumeration Documentation

◆ anonymous enum

template<class Element>

anonymous enum

Enumerator
kWorkMax

Definition at line 58 of file TMatrixT.h.

◆ EMatrixCreatorsOp1

template<class Element>

enum TMatrixT::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kInverted
kAtA

Definition at line 59 of file TMatrixT.h.

◆ EMatrixCreatorsOp2

template<class Element>

enum TMatrixT::EMatrixCreatorsOp2

Enumerator
kMult
kTransposeMult
kInvMult
kMultTranspose
kPlus
kMinus

Definition at line 60 of file TMatrixT.h.

Constructor & Destructor Documentation

◆ TMatrixT() [1/15]

template<class Element>

TMatrixT< Element >::TMatrixT ( )

inline

Definition at line 62 of file TMatrixT.h.

◆ TMatrixT() [2/15]

template<class Element >

TMatrixT< Element >::TMatrixT	(	Int_t	nrows,
		Int_t	ncols
	)

Constructor for (nrows x ncols) matrix.

Definition at line 39 of file TMatrixT.cxx.

◆ TMatrixT() [3/15]

template<class Element >

TMatrixT< Element >::TMatrixT	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb
	)

Constructor for ([row_lwb..row_upb] x [col_lwb..col_upb]) matrix.

Definition at line 48 of file TMatrixT.cxx.

◆ TMatrixT() [4/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	Int_t	no_rows,
		Int_t	no_cols,
		const Element *	elements,
		Option_t *	option = `""`
	)

option="F": array elements contains the matrix stored column-wise like in Fortran, so a[i,j] = elements[i+no_rows*j], else it is supposed that array elements are stored row-wise a[i,j] = elements[i*no_cols+j]

array elements are copied

Definition at line 62 of file TMatrixT.cxx.

◆ TMatrixT() [5/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		const Element *	data,
		Option_t *	option = `""`
	)

array elements are copied

Definition at line 72 of file TMatrixT.cxx.

◆ TMatrixT() [6/15]

template<class Element>

TMatrixT< Element >::TMatrixT ( const TMatrixT< Element > & another )

Copy constructor.

Definition at line 83 of file TMatrixT.cxx.

◆ TMatrixT() [7/15]

template<class Element>

TMatrixT< Element >::TMatrixT ( const TMatrixTSym< Element > & another )

Copy constructor of a symmetric matrix.

Definition at line 94 of file TMatrixT.cxx.

◆ TMatrixT() [8/15]

template<class Element>

TMatrixT< Element >::TMatrixT ( const TMatrixTSparse< Element > & another )

Copy constructor of a sparse matrix.

Definition at line 105 of file TMatrixT.cxx.

◆ TMatrixT() [9/15]

template<class Element>

template<class Element2 >

TMatrixT< Element >::TMatrixT ( const TMatrixT< Element2 > & another )

inline

Definition at line 70 of file TMatrixT.h.

◆ TMatrixT() [10/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	EMatrixCreatorsOp1	op,
		const TMatrixT< Element > &	prototype
	)

Constructor of matrix applying a specific operation to the prototype.

Example: TMatrixT<Element> a(10,12); ...; TMatrixT<Element> b(TMatrixT::kTransposed, a); Supported operations are: kZero, kUnit, kTransposed, kInverted and kAtA.

Definition at line 118 of file TMatrixT.cxx.

◆ TMatrixT() [11/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	const TMatrixT< Element > &	a,
		EMatrixCreatorsOp2	op,
		const TMatrixT< Element > &	b
	)

Constructor of matrix applying a specific operation to two prototypes.

Example: TMatrixT<Element> a(10,12), b(12,5); ...; TMatrixT<Element> c(a, TMatrixT::kMult, b); Supported operations are: kMult (a*b), kTransposeMult (a'*b), kInvMult (a^(-1)*b)

Definition at line 169 of file TMatrixT.cxx.

◆ TMatrixT() [12/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	const TMatrixT< Element > &	a,
		EMatrixCreatorsOp2	op,
		const TMatrixTSym< Element > &	b
	)

Constructor of matrix applying a specific operation to two prototypes.

Example: TMatrixT<Element> a(10,12), b(12,5); ...; TMatrixT<Element> c(a, TMatrixT::kMult, b); Supported operations are: kMult (a*b), kTransposeMult (a'*b), kInvMult (a^(-1)*b)

Definition at line 226 of file TMatrixT.cxx.

◆ TMatrixT() [13/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	const TMatrixTSym< Element > &	a,
		EMatrixCreatorsOp2	op,
		const TMatrixT< Element > &	b
	)

Constructor of matrix applying a specific operation to two prototypes.

Example: TMatrixT<Element> a(10,12), b(12,5); ...; TMatrixT<Element> c(a, TMatrixT::kMult, b); Supported operations are: kMult (a*b), kTransposeMult (a'*b), kInvMult (a^(-1)*b)

Definition at line 283 of file TMatrixT.cxx.

◆ TMatrixT() [14/15]

template<class Element>

TMatrixT< Element >::TMatrixT	(	const TMatrixTSym< Element > &	a,
		EMatrixCreatorsOp2	op,
		const TMatrixTSym< Element > &	b
	)

Constructor of matrix applying a specific operation to two prototypes.

Example: TMatrixT<Element> a(10,12), b(12,5); ...; TMatrixT<Element> c(a, TMatrixT::kMult, b); Supported operations are: kMult (a*b), kTransposeMult (a'*b), kInvMult (a^(-1)*b)

Definition at line 340 of file TMatrixT.cxx.

◆ TMatrixT() [15/15]

template<class Element>

TMatrixT< Element >::TMatrixT ( const TMatrixTLazy< Element > & lazy_constructor )

Constructor using the TMatrixTLazy class.

Definition at line 395 of file TMatrixT.cxx.

◆ ~TMatrixT()

template<class Element>

virtual TMatrixT< Element >::~TMatrixT ( )

inlinevirtual

Definition at line 84 of file TMatrixT.h.

Member Function Documentation

◆ Allocate()

template<class Element >

void TMatrixT< Element >::Allocate	(	Int_t	no_rows,
		Int_t	no_cols,
		Int_t	row_lwb = `0`,
		Int_t	col_lwb = `0`,
		Int_t	init = `0`,
		Int_t	= `-1`
	)

protected

Allocate new matrix.

Arguments are number of rows, columns, row lowerbound (0 default) and column lowerbound (0 default).

Definition at line 466 of file TMatrixT.cxx.

◆ Clear()

template<class Element>

virtual void TMatrixT< Element >::Clear ( Option_t * = "" )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 121 of file TMatrixT.h.

◆ Delete_m()

template<class Element>

void TMatrixT< Element >::Delete_m	(	Int_t	size,
		Element *&	m
	)

protected

Delete data pointer m, if it was assigned on the heap.

Definition at line 407 of file TMatrixT.cxx.

◆ Determinant() [1/2]

template<class Element >

Double_t TMatrixT< Element >::Determinant ( ) const

virtual

Return the matrix determinant.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1361 of file TMatrixT.cxx.

◆ Determinant() [2/2]

template<class Element >

void TMatrixT< Element >::Determinant	(	Double_t &	d1,
		Double_t &	d2
	)		const

virtual

Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2)

Reimplemented from TMatrixTBase< Element >.

Definition at line 1374 of file TMatrixT.cxx.

◆ EigenVectors()

template<class Element>

const TMatrixT< Element > TMatrixT< Element >::EigenVectors ( TVectorT< Element > & eigenValues ) const

Return a matrix containing the eigen-vectors ordered by descending values of Re^2+Im^2 of the complex eigen-values .

If the matrix is asymmetric, only the real part of the eigen-values is returned . For full functionality use TMatrixDEigen .

Definition at line 2307 of file TMatrixT.cxx.

◆ GetColIndexArray() [1/2]

template<class Element>

virtual const Int_t* TMatrixT< Element >::GetColIndexArray ( ) const

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 115 of file TMatrixT.h.

◆ GetColIndexArray() [2/2]

template<class Element>

virtual Int_t* TMatrixT< Element >::GetColIndexArray ( )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 116 of file TMatrixT.h.

◆ GetMatrixArray() [1/2]

template<class Element >

const Element * TMatrixT< Element >::GetMatrixArray ( ) const

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 223 of file TMatrixT.h.

◆ GetMatrixArray() [2/2]

template<class Element >

Element * TMatrixT< Element >::GetMatrixArray ( )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 224 of file TMatrixT.h.

◆ GetRowIndexArray() [1/2]

template<class Element>

virtual const Int_t* TMatrixT< Element >::GetRowIndexArray ( ) const

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 113 of file TMatrixT.h.

◆ GetRowIndexArray() [2/2]

template<class Element>

virtual Int_t* TMatrixT< Element >::GetRowIndexArray ( )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 114 of file TMatrixT.h.

◆ GetSub() [1/2]

template<class Element>

TMatrixTBase< Element > & TMatrixT< Element >::GetSub	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		TMatrixTBase< Element > &	target,
		Option_t *	option = `"S"`
	)		const

virtual

Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option:

option == "S" : return [0..row_upb-row_lwb][0..col_upb-col_lwb] (default) else : return [row_lwb..row_upb][col_lwb..col_upb]

Implements TMatrixTBase< Element >.

Definition at line 1089 of file TMatrixT.cxx.

◆ GetSub() [2/2]

template<class Element>

TMatrixT< Element > TMatrixT< Element >::GetSub	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Option_t *	option = `"S"`
	)		const

inline

Definition at line 243 of file TMatrixT.h.

◆ Invert()

template<class Element >

TMatrixT< Element > & TMatrixT< Element >::Invert ( Double_t * det = 0 )

Invert the matrix and calculate its determinant.

Definition at line 1396 of file TMatrixT.cxx.

◆ InvertFast()

template<class Element >

TMatrixT< Element > & TMatrixT< Element >::InvertFast ( Double_t * det = 0 )

Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used .

Definition at line 1410 of file TMatrixT.cxx.

◆ Memcpy_m()

template<class Element>

Int_t TMatrixT< Element >::Memcpy_m	(	Element *	newp,
		const Element *	oldp,
		Int_t	copySize,
		Int_t	newSize,
		Int_t	oldSize
	)

protected

Copy copySize doubles from *oldp to *newp .

However take care of the situation where both pointers are assigned to the same stack space

Definition at line 439 of file TMatrixT.cxx.

◆ Minus() [1/3]

template<class Element>

void TMatrixT< Element >::Minus	(	const TMatrixT< Element > &	a,
		const TMatrixT< Element > &	b
	)

General matrix summation. Create a matrix C such that C = A - B.

Definition at line 580 of file TMatrixT.cxx.

◆ Minus() [2/3]

template<class Element>

void TMatrixT< Element >::Minus	(	const TMatrixT< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

General matrix summation. Create a matrix C such that C = A - B.

Definition at line 614 of file TMatrixT.cxx.

◆ Minus() [3/3]

template<class Element>

void TMatrixT< Element >::Minus	(	const TMatrixTSym< Element > &	a,
		const TMatrixT< Element > &	b
	)

inline

Definition at line 94 of file TMatrixT.h.

◆ Mult() [1/4]

template<class Element>

void TMatrixT< Element >::Mult	(	const TMatrixT< Element > &	a,
		const TMatrixT< Element > &	b
	)

General matrix multiplication. Create a matrix C such that C = A * B.

Definition at line 648 of file TMatrixT.cxx.

◆ Mult() [2/4]

template<class Element>

void TMatrixT< Element >::Mult	(	const TMatrixT< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

Matrix multiplication, with A general and B symmetric.

Create a matrix C such that C = A * B.

Definition at line 749 of file TMatrixT.cxx.

◆ Mult() [3/4]

template<class Element>

void TMatrixT< Element >::Mult	(	const TMatrixTSym< Element > &	a,
		const TMatrixT< Element > &	b
	)

Matrix multiplication, with A symmetric and B general.

Create a matrix C such that C = A * B.

Definition at line 697 of file TMatrixT.cxx.

◆ Mult() [4/4]

template<class Element>

void TMatrixT< Element >::Mult	(	const TMatrixTSym< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

Matrix multiplication, with A symmetric and B symmetric.

(Actually copied for the moment routine for B general) Create a matrix C such that C = A * B.

Definition at line 801 of file TMatrixT.cxx.

◆ MultT() [1/4]

template<class Element>

void TMatrixT< Element >::MultT	(	const TMatrixT< Element > &	a,
		const TMatrixT< Element > &	b
	)

General matrix multiplication. Create a matrix C such that C = A * B^T.

Definition at line 951 of file TMatrixT.cxx.

◆ MultT() [2/4]

template<class Element>

void TMatrixT< Element >::MultT	(	const TMatrixT< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

inline

Definition at line 107 of file TMatrixT.h.

◆ MultT() [3/4]

template<class Element>

void TMatrixT< Element >::MultT	(	const TMatrixTSym< Element > &	a,
		const TMatrixT< Element > &	b
	)

Matrix multiplication, with A symmetric and B general.

Create a matrix C such that C = A * B^T.

Definition at line 1003 of file TMatrixT.cxx.

◆ MultT() [4/4]

template<class Element>

void TMatrixT< Element >::MultT	(	const TMatrixTSym< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

inline

Definition at line 109 of file TMatrixT.h.

◆ New_m()

template<class Element >

Element * TMatrixT< Element >::New_m ( Int_t size )

protected

Return data pointer .

if requested size <= kSizeMax, assign pointer to the stack space

Definition at line 421 of file TMatrixT.cxx.

◆ NormByColumn()

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::NormByColumn	(	const TVectorT< Element > &	v,
		Option_t *	option = `"D"`
	)

Multiply/divide matrix columns by a vector: option: "D" : b(i,j) = a(i,j)/v(i) i = 0,fNrows-1 (default) else : b(i,j) = a(i,j)*v(i)

Definition at line 1642 of file TMatrixT.cxx.

◆ NormByRow()

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::NormByRow	(	const TVectorT< Element > &	v,
		Option_t *	option = `"D"`
	)

Multiply/divide matrix rows with a vector: option: "D" : b(i,j) = a(i,j)/v(j) i = 0,fNcols-1 (default) else : b(i,j) = a(i,j)*v(j)

Definition at line 1689 of file TMatrixT.cxx.

◆ operator()() [1/2]

template<class Element >

Element TMatrixT< Element >::operator()	(	Int_t	rown,
		Int_t	coln
	)		const

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 251 of file TMatrixT.h.

◆ operator()() [2/2]

template<class Element >

Element & TMatrixT< Element >::operator()	(	Int_t	rown,
		Int_t	coln
	)

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 268 of file TMatrixT.h.

◆ operator*=() [1/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( Element val )

Multiply every element of the matrix with val.

Definition at line 1874 of file TMatrixT.cxx.

◆ operator*=() [2/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( const TMatrixT< Element > & source )

Compute target = target * source inplace.

Strictly speaking, it can't be done inplace, though only the row of the target matrix needs to be saved. "Inplace" multiplication is only allowed when the 'source' matrix is square.

Definition at line 1972 of file TMatrixT.cxx.

◆ operator*=() [3/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( const TMatrixTSym< Element > & source )

Compute target = target * source inplace.

Strictly speaking, it can't be done inplace, though only the row of the target matrix needs to be saved.

Definition at line 2035 of file TMatrixT.cxx.

◆ operator*=() [4/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( const TMatrixTDiag_const< Element > & diag )

Multiply a matrix row by the diagonal of another matrix matrix(i,j) *= diag(j), j=0,fNcols-1.

Definition at line 2097 of file TMatrixT.cxx.

◆ operator*=() [5/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( const TMatrixTRow_const< Element > & row )

Multiply a matrix by the row of another matrix matrix(i,j) *= another(k,j) for fixed k.

Definition at line 2234 of file TMatrixT.cxx.

◆ operator*=() [6/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator*= ( const TMatrixTColumn_const< Element > & col )

Multiply a matrix by the column of another matrix matrix(i,j) *= another(i,k) for fixed k.

Definition at line 2162 of file TMatrixT.cxx.

◆ operator+=() [1/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator+= ( Element val )

Add val to every element of the matrix.

Definition at line 1842 of file TMatrixT.cxx.

◆ operator+=() [2/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator+= ( const TMatrixT< Element > & source )

Add the source matrix.

Definition at line 1890 of file TMatrixT.cxx.

◆ operator+=() [3/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator+= ( const TMatrixTSym< Element > & source )

Add the source matrix.

Definition at line 1910 of file TMatrixT.cxx.

◆ operator-=() [1/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator-= ( Element val )

Subtract val from every element of the matrix.

Definition at line 1858 of file TMatrixT.cxx.

◆ operator-=() [2/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator-= ( const TMatrixT< Element > & source )

Subtract the source matrix.

Definition at line 1930 of file TMatrixT.cxx.

◆ operator-=() [3/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator-= ( const TMatrixTSym< Element > & source )

Subtract the source matrix.

Definition at line 1950 of file TMatrixT.cxx.

◆ operator/=() [1/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator/= ( const TMatrixTDiag_const< Element > & diag )

Divide a matrix row by the diagonal of another matrix matrix(i,j) /= diag(j)

Definition at line 2127 of file TMatrixT.cxx.

◆ operator/=() [2/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator/= ( const TMatrixTRow_const< Element > & row )

Divide a matrix by the row of another matrix matrix(i,j) /= another(k,j) for fixed k.

Definition at line 2268 of file TMatrixT.cxx.

◆ operator/=() [3/3]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator/= ( const TMatrixTColumn_const< Element > & col )

Divide a matrix by the column of another matrix matrix(i,j) /= another(i,k) for fixed k.

Definition at line 2195 of file TMatrixT.cxx.

◆ operator=() [1/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator= ( const TMatrixT< Element > & source )

Assignment operator.

Definition at line 1732 of file TMatrixT.cxx.

◆ operator=() [2/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator= ( const TMatrixTSym< Element > & source )

Assignment operator.

Definition at line 1751 of file TMatrixT.cxx.

◆ operator=() [3/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator= ( const TMatrixTSparse< Element > & source )

Assignment operator.

Definition at line 1770 of file TMatrixT.cxx.

◆ operator=() [4/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator= ( const TMatrixTLazy< Element > & source )

Assignment operator.

Definition at line 1805 of file TMatrixT.cxx.

◆ operator=() [5/6]

template<class Element>

template<class Element2 >

TMatrixT<Element>& TMatrixT< Element >::operator= ( const TMatrixT< Element2 > & source )

inline

Definition at line 171 of file TMatrixT.h.

◆ operator=() [6/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::operator= ( Element val )

Assign val to every element of the matrix.

Definition at line 1826 of file TMatrixT.cxx.

◆ operator[]() [1/2]

template<class Element>

const TMatrixTRow_const<Element> TMatrixT< Element >::operator[] ( Int_t rown ) const

inline

Definition at line 164 of file TMatrixT.h.

◆ operator[]() [2/2]

template<class Element>

TMatrixTRow<Element> TMatrixT< Element >::operator[] ( Int_t rown )

inline

Definition at line 165 of file TMatrixT.h.

◆ Plus() [1/3]

template<class Element>

void TMatrixT< Element >::Plus	(	const TMatrixT< Element > &	a,
		const TMatrixT< Element > &	b
	)

General matrix summation. Create a matrix C such that C = A + B.

Definition at line 512 of file TMatrixT.cxx.

◆ Plus() [2/3]

template<class Element>

void TMatrixT< Element >::Plus	(	const TMatrixT< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

General matrix summation. Create a matrix C such that C = A + B.

Definition at line 546 of file TMatrixT.cxx.

◆ Plus() [3/3]

template<class Element>

void TMatrixT< Element >::Plus	(	const TMatrixTSym< Element > &	a,
		const TMatrixT< Element > &	b
	)

inline

Definition at line 90 of file TMatrixT.h.

◆ Rank1Update() [1/2]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Rank1Update	(	const TVectorT< Element > &	v,
		Element	alpha = `1.0`
	)

Perform a rank 1 operation on matrix A: A += alpha * v * v^T.

Definition at line 1539 of file TMatrixT.cxx.

◆ Rank1Update() [2/2]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Rank1Update	(	const TVectorT< Element > &	v1,
		const TVectorT< Element > &	v2,
		Element	alpha = `1.0`
	)

Perform a rank 1 operation on matrix A: A += alpha * v1 * v2^T.

Definition at line 1567 of file TMatrixT.cxx.

◆ ResizeTo() [1/3]

template<class Element >

TMatrixTBase< Element > & TMatrixT< Element >::ResizeTo	(	Int_t	nrows,
		Int_t	ncols,
		Int_t	= `-1`
	)

virtual

Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 1210 of file TMatrixT.cxx.

◆ ResizeTo() [2/3]

template<class Element >

TMatrixTBase< Element > & TMatrixT< Element >::ResizeTo	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Int_t	= `-1`
	)

virtual

Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 1275 of file TMatrixT.cxx.

◆ ResizeTo() [3/3]

template<class Element>

TMatrixTBase<Element>& TMatrixT< Element >::ResizeTo ( const TMatrixT< Element > & m )

inline

Definition at line 141 of file TMatrixT.h.

◆ SetColIndexArray()

template<class Element>

virtual TMatrixTBase<Element>& TMatrixT< Element >::SetColIndexArray ( Int_t * )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 119 of file TMatrixT.h.

◆ SetRowIndexArray()

template<class Element>

virtual TMatrixTBase<Element>& TMatrixT< Element >::SetRowIndexArray ( Int_t * )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 118 of file TMatrixT.h.

◆ SetSub()

template<class Element>

TMatrixTBase< Element > & TMatrixT< Element >::SetSub	(	Int_t	row_lwb,
		Int_t	col_lwb,
		const TMatrixTBase< Element > &	source
	)

virtual

Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];.

Implements TMatrixTBase< Element >.

Definition at line 1156 of file TMatrixT.cxx.

◆ Similarity()

template<class Element>

Element TMatrixT< Element >::Similarity ( const TVectorT< Element > & v ) const

Calculate scalar v * (*this) * v^T.

Definition at line 1601 of file TMatrixT.cxx.

◆ T()

template<class Element>

TMatrixT<Element>& TMatrixT< Element >::T ( )

inline

Definition at line 151 of file TMatrixT.h.

◆ TMult() [1/4]

template<class Element>

void TMatrixT< Element >::TMult	(	const TMatrixT< Element > &	a,
		const TMatrixT< Element > &	b
	)

Create a matrix C such that C = A' * B.

In other words, c[i,j] = SUM{ a[k,i] * b[k,j] }.

Definition at line 852 of file TMatrixT.cxx.

◆ TMult() [2/4]

template<class Element>

void TMatrixT< Element >::TMult	(	const TMatrixT< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

Create a matrix C such that C = A' * B.

In other words, c[i,j] = SUM{ a[k,i] * b[k,j] }.

Definition at line 902 of file TMatrixT.cxx.

◆ TMult() [3/4]

template<class Element>

void TMatrixT< Element >::TMult	(	const TMatrixTSym< Element > &	a,
		const TMatrixT< Element > &	b
	)

inline

Definition at line 103 of file TMatrixT.h.

◆ TMult() [4/4]

template<class Element>

void TMatrixT< Element >::TMult	(	const TMatrixTSym< Element > &	a,
		const TMatrixTSym< Element > &	b
	)

inline

Definition at line 104 of file TMatrixT.h.

◆ Transpose()

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Transpose ( const TMatrixT< Element > & source )

Transpose matrix source.

Definition at line 1469 of file TMatrixT.cxx.

◆ Use() [1/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Element *	data
	)

Use the array data to fill the matrix ([row_lwb..row_upb] x [col_lwb..col_upb])

Definition at line 1053 of file TMatrixT.cxx.

◆ Use() [2/6]

template<class Element>

const TMatrixT<Element>& TMatrixT< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		const Element *	data
	)		const

inline

Definition at line 126 of file TMatrixT.h.

◆ Use() [3/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Use	(	Int_t	nrows,
		Int_t	ncols,
		Element *	data
	)

inline

Definition at line 226 of file TMatrixT.h.

◆ Use() [4/6]

template<class Element>

const TMatrixT< Element > & TMatrixT< Element >::Use	(	Int_t	nrows,
		Int_t	ncols,
		const Element *	data
	)		const

inline

Definition at line 228 of file TMatrixT.h.

◆ Use() [5/6]

template<class Element>

TMatrixT< Element > & TMatrixT< Element >::Use ( TMatrixT< Element > & a )

inline

Definition at line 230 of file TMatrixT.h.

◆ Use() [6/6]

template<class Element>

const TMatrixT< Element > & TMatrixT< Element >::Use ( const TMatrixT< Element > & a ) const

inline

Definition at line 236 of file TMatrixT.h.

Member Data Documentation

◆ fDataStack

template<class Element>

Element TMatrixT< Element >::fDataStack[TMatrixTBase< Element >::kSizeMax]

protected

Definition at line 44 of file TMatrixT.h.

◆ fElements

template<class Element>

Element* TMatrixT< Element >::fElements

protected

data container

Definition at line 45 of file TMatrixT.h.

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

math/matrix/inc/TMatrixDfwd.h
math/matrix/inc/TMatrixT.h
math/matrix/src/TMatrixT.cxx

template<class Element> class TMatrixT< Element >

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Enumeration Documentation

◆ anonymous enum

◆ EMatrixCreatorsOp1

◆ EMatrixCreatorsOp2

Constructor & Destructor Documentation

◆ TMatrixT() [1/15]

◆ TMatrixT() [2/15]

◆ TMatrixT() [3/15]

◆ TMatrixT() [4/15]

◆ TMatrixT() [5/15]

◆ TMatrixT() [6/15]

◆ TMatrixT() [7/15]

◆ TMatrixT() [8/15]

◆ TMatrixT() [9/15]

◆ TMatrixT() [10/15]

◆ TMatrixT() [11/15]

◆ TMatrixT() [12/15]

◆ TMatrixT() [13/15]

◆ TMatrixT() [14/15]

◆ TMatrixT() [15/15]

◆ ~TMatrixT()

Member Function Documentation

◆ Allocate()

◆ Clear()

◆ Delete_m()

◆ Determinant() [1/2]

◆ Determinant() [2/2]

◆ EigenVectors()

◆ GetColIndexArray() [1/2]

◆ GetColIndexArray() [2/2]

◆ GetMatrixArray() [1/2]

◆ GetMatrixArray() [2/2]

◆ GetRowIndexArray() [1/2]

◆ GetRowIndexArray() [2/2]

◆ GetSub() [1/2]

◆ GetSub() [2/2]

◆ Invert()

◆ InvertFast()

◆ Memcpy_m()

◆ Minus() [1/3]

◆ Minus() [2/3]

◆ Minus() [3/3]

◆ Mult() [1/4]

◆ Mult() [2/4]

◆ Mult() [3/4]

◆ Mult() [4/4]

◆ MultT() [1/4]

◆ MultT() [2/4]

◆ MultT() [3/4]

◆ MultT() [4/4]

◆ New_m()

◆ NormByColumn()

◆ NormByRow()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=() [1/6]

◆ operator*=() [2/6]

◆ operator*=() [3/6]

◆ operator*=() [4/6]

◆ operator*=() [5/6]

◆ operator*=() [6/6]

◆ operator+=() [1/3]

◆ operator+=() [2/3]

◆ operator+=() [3/3]

◆ operator-=() [1/3]

◆ operator-=() [2/3]

◆ operator-=() [3/3]

◆ operator/=() [1/3]

◆ operator/=() [2/3]

◆ operator/=() [3/3]

◆ operator=() [1/6]

◆ operator=() [2/6]

◆ operator=() [3/6]

◆ operator=() [4/6]

template<class Element>
class TMatrixT< Element >