template<class Element>
class TMatrixTSym< Element >

Definition at line 24 of file TMatrixDSymfwd.h.

Public Types
enum	{ kWorkMax = 100 }

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

enum	EMatrixCreatorsOp2 { kPlus, kMinus }

Public Types inherited from TObject
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) }

enum	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kBitMask = 0x00ffffff }

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

Public Member Functions
	TMatrixTSym ()

	TMatrixTSym (Int_t nrows)

	TMatrixTSym (Int_t row_lwb, Int_t row_upb)

	TMatrixTSym (Int_t nrows, 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...

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

	TMatrixTSym (const TMatrixTSym< Element > &another)

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

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

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

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

	TMatrixTSym (const TMatrixTSymLazy< Element > &lazy_constructor)

virtual	~TMatrixTSym ()

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

void	TMult (const TMatrixTSym< Element > &a)
	Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'. More...

void	Mult (const TMatrixTSym< Element > &a)

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

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

virtual const Element *	GetMatrixArray () const

virtual Element *	GetMatrixArray ()

virtual const Int_t *	GetRowIndexArray () const

virtual Int_t *	GetRowIndexArray ()

virtual const Int_t *	GetColIndexArray () const

virtual Int_t *	GetColIndexArray ()

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *)

virtual TMatrixTBase< Element > &	SetColIndexArray (Int_t *)

virtual void	Clear (Option_t *="")

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

TMatrixTSym< Element > &	Use (Int_t row_lwb, Int_t row_upb, Element *data)

const TMatrixTSym< Element > &	Use (Int_t row_lwb, Int_t row_upb, const Element *data) const

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

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

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

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

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

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][col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More...

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

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

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] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];. More...

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

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 > &	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 TMatrixTSym< Element > &m)

virtual Double_t	Determinant () const

virtual void	Determinant (Double_t &d1, Double_t &d2) const

TMatrixTSym< Element > &	Invert (Double_t *det=0)
	Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU . More...

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

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

TMatrixTSym< Element > &	T ()

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

TMatrixTSym< Element > &	Similarity (const TMatrixT< Element > &n)
	Calculate B * (this) B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal . More...

TMatrixTSym< Element > &	Similarity (const TMatrixTSym< Element > &n)
	Calculate B * (this) B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal . More...

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

TMatrixTSym< Element > &	SimilarityT (const TMatrixT< Element > &n)
	Calculate B^T * (this) B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric . More...

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

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

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

TMatrixTRow< Element >	operator[] (Int_t rown)

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

TMatrixTSym< Element > &	operator= (const TMatrixTSymLazy< Element > &source)

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

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

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

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

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

TMatrixTSym &	operator+= (const TMatrixTSym &source)
	Add the source matrix. More...

TMatrixTSym &	operator-= (const TMatrixTSym &source)
	Subtract the source matrix. More...

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

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

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

virtual TMatrixTSym< Element > &	RandomizePD (Element alpha, Element beta, Double_t &seed)
	randomize matrix element values but keep matrix symmetric positive definite More...

const TMatrixT< Element >	EigenVectors (TVectorT< Element > &eigenValues) const
	Return a matrix containing the eigen-vectors ordered by descending eigen-values. More...

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

virtual	~TMatrixTBase ()

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

Element	GetTol () const

Element	SetTol (Element tol)

void	Invalidate ()

void	MakeValid ()

Bool_t	IsValid () const

Bool_t	IsOwner () const

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

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...

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...

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

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

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

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

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

virtual TMatrixTBase< Element > &	NormByDiag (const TVectorT< Element > &v, Option_t *option="D")
	option: "D" : b(i,j) = a(i,j)/sqrt(abs(v(i)v(j))) (default) else : b(i,j) = a(i,j)sqrt(abs(v(i)*v(j))) (default) More...

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

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

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

Element	NormInf () const

Element	Norm1 () const

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

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

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

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

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

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

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

Public Member Functions inherited from TObject
	TObject ()

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

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

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

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

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

virtual Option_t *	GetOption () const

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

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

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

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	IsSortable () const

Bool_t	IsOnHeap () const

Bool_t	IsZombie () const

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

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

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...

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

void *	operator new (size_t sz)

void *	operator new[] (size_t sz)

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

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

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

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

void	ResetBit (UInt_t f)

Bool_t	TestBit (UInt_t f) const

Int_t	TestBits (UInt_t f) const

void	InvertBit (UInt_t f)

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

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

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

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

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

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...

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

Protected Member Functions
Element *	New_m (Int_t size)
	return data pointer . 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...

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...

Protected Member Functions inherited from TObject
void	MakeZombie ()

virtual void	DoError (int level, const char location, const char fmt, va_list va) const
	Interface to ErrorHandler (protected). More...

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

Element *	fElements
	data container More...

Protected Attributes inherited from TMatrixTBase< Element >
Int_t	fNrows

Int_t	fNcols

Int_t	fRowLwb

Int_t	fColLwb

Int_t	fNelems

Int_t	fNrowIndex

Element	fTol

Bool_t	fIsOwner

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

static Bool_t	GetObjectStat ()
	Get status of object stat 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 <TMatrixDSymfwd.h>

Inheritance diagram for TMatrixTSym< Element >:

Collaboration diagram for TMatrixTSym< Element >:

Member Enumeration Documentation

template<class Element>

anonymous enum

Enumerator
kWorkMax

Definition at line 54 of file TMatrixTSym.h.

template<class Element>

enum TMatrixTSym::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kInverted
kAtA

Definition at line 55 of file TMatrixTSym.h.

template<class Element>

enum TMatrixTSym::EMatrixCreatorsOp2

Enumerator
kPlus
kMinus

Definition at line 56 of file TMatrixTSym.h.

Constructor & Destructor Documentation

template<class Element>

TMatrixTSym< Element >::TMatrixTSym ( )

inline

Definition at line 58 of file TMatrixTSym.h.

template<class Element>

TMatrixTSym< Element >::TMatrixTSym ( Int_t nrows )

explicit

template<class Element >

TMatrixTSym< Element >::TMatrixTSym	(	Int_t	row_lwb,
		Int_t	row_upb
	)

Definition at line 46 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element >::TMatrixTSym	(	Int_t	no_rows,
		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 61 of file TMatrixTSym.cxx.

template<class Element>

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

array elements are copied

Definition at line 74 of file TMatrixTSym.cxx.

template<class Element>

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

Definition at line 87 of file TMatrixTSym.cxx.

template<class Element>

template<class Element2 >

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

inline

Definition at line 64 of file TMatrixTSym.h.

template<class Element>

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

Create a matrix applying a specific operation to the prototype.

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

Definition at line 100 of file TMatrixTSym.cxx.

template<class Element>

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

Definition at line 149 of file TMatrixTSym.cxx.

template<class Element>

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

Definition at line 168 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element >::TMatrixTSym ( const TMatrixTSymLazy< Element > & lazy_constructor )

Definition at line 196 of file TMatrixTSym.cxx.

template<class Element>

virtual TMatrixTSym< Element >::~TMatrixTSym ( )

inlinevirtual

Definition at line 76 of file TMatrixTSym.h.

Member Function Documentation

template<class Element >

void TMatrixTSym< 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 270 of file TMatrixTSym.cxx.

Referenced by TMatrixTSym< Element >::TMatrixTSym(), and TMatrixTSym< Double_t >::TMatrixTSym().

template<class Element>

TMatrixTBase< Element > & TMatrixTSym< Element >::Apply ( const TElementActionT< Element > & action )

virtual

Apply action to each matrix element.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1549 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTBase< Element > & TMatrixTSym< Element >::Apply ( const TElementPosActionT< Element > & action )

virtual

Apply action to each element of the matrix.

To action the location of the current element is passed.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1576 of file TMatrixTSym.cxx.

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 96 of file TMatrixTSym.h.

Referenced by TLinearFitter::Clear(), and TMatrixTSym< Double_t >::~TMatrixTSym().

template<class Element>

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

protected

delete data pointer m, if it was assigned on the heap

Definition at line 211 of file TMatrixTSym.cxx.

Referenced by TMatrixTSym< Double_t >::Clear().

template<class Element >

Double_t TMatrixTSym< Element >::Determinant ( ) const

virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 931 of file TMatrixTSym.cxx.

Referenced by RooMultiVarGaussian::anaIntData(), RooFitResult::conditionalCovarianceMatrix(), RooFitResult::createHessePdf(), TRobustEstimator::CreateSubset(), TRobustEstimator::CStep(), RooJeffreysPrior::evaluate(), TRobustEstimator::Evaluate(), TMVA::MethodBDT::PreProcessNegativeEventWeights(), and RooMultiVarGaussian::RooMultiVarGaussian().

template<class Element >

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

virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 943 of file TMatrixTSym.cxx.

template<class Element>

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

Return a matrix containing the eigen-vectors ordered by descending eigen-values.

For full functionality use TMatrixDSymEigen .

Definition at line 1677 of file TMatrixTSym.cxx.

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 90 of file TMatrixTSym.h.

Referenced by TMatrixTSym< Element >::GetSub().

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 91 of file TMatrixTSym.h.

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 183 of file TMatrixTSym.h.

template<class Element >

Element * TMatrixTSym< Element >::GetMatrixArray ( )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 184 of file TMatrixTSym.h.

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 88 of file TMatrixTSym.h.

Referenced by TMatrixTSym< Element >::GetSub().

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 89 of file TMatrixTSym.h.

template<class Element>

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

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

option == "S" : return [0..row_upb-row_lwb+1][0..row_upb-row_lwb+1] (default) else : return [row_lwb..row_upb][row_lwb..row_upb]

Definition at line 499 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTBase< Element > & TMatrixTSym< 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][col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option:

option == "S" : return [0..row_upb-row_lwb+1][0..col_upb-col_lwb+1] (default) else : return [row_lwb..row_upb][col_lwb..col_upb]

Implements TMatrixTBase< Element >.

Definition at line 565 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element > TMatrixTSym< 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 194 of file TMatrixTSym.h.

template<class Element >

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

Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU .

The user can access Bunch-Kaufman through the TDecompBK class .

Definition at line 957 of file TMatrixTSym.cxx.

Referenced by RooJeffreysPrior::evaluate(), TMinuitMinimizer::GetHessianMatrix(), TMVA::MethodBDT::PreProcessNegativeEventWeights(), TSVDUnfold::RegularisedSymMatInvert(), and RooMultiVarGaussian::RooMultiVarGaussian().

template<class Element >

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

Invert the matrix and calculate its determinant.

Definition at line 975 of file TMatrixTSym.cxx.

Referenced by test_tmatrix_kalman().

template<class Element>

virtual Bool_t TMatrixTSym< Element >::IsSymmetric ( ) const

inlinevirtual

Check whether matrix is symmetric.

Reimplemented from TMatrixTBase< Element >.

Definition at line 99 of file TMatrixTSym.h.

template<class Element>

Int_t TMatrixTSym< 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 243 of file TMatrixTSym.cxx.

template<class Element>

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

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

Definition at line 342 of file TMatrixTSym.cxx.

template<class Element>

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

inline

Definition at line 81 of file TMatrixTSym.h.

template<class Element >

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

protected

return data pointer .

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

Definition at line 225 of file TMatrixTSym.cxx.

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 202 of file TMatrixTSym.h.

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 218 of file TMatrixTSym.h.

template<class Element>

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

Multiply every element of the matrix with val.

Definition at line 1494 of file TMatrixTSym.cxx.

template<class Element>

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

Add val to every element of the matrix.

Definition at line 1462 of file TMatrixTSym.cxx.

template<class Element>

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

Add the source matrix.

Definition at line 1510 of file TMatrixTSym.cxx.

template<class Element>

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

Subtract val from every element of the matrix.

Definition at line 1478 of file TMatrixTSym.cxx.

template<class Element>

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

Subtract the source matrix.

Definition at line 1530 of file TMatrixTSym.cxx.

template<class Element>

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

Definition at line 1410 of file TMatrixTSym.cxx.

template<class Element>

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

Definition at line 1427 of file TMatrixTSym.cxx.

template<class Element>

template<class Element2 >

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

inline

Definition at line 148 of file TMatrixTSym.h.

template<class Element>

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

Assign val to every element of the matrix.

Definition at line 1446 of file TMatrixTSym.cxx.

template<class Element>

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

inline

Definition at line 143 of file TMatrixTSym.h.

template<class Element>

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

inline

Definition at line 144 of file TMatrixTSym.h.

template<class Element>

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

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

Definition at line 308 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTBase< Element > & TMatrixTSym< Element >::Randomize	(	Element	alpha,
		Element	beta,
		Double_t &	seed
	)

virtual

randomize matrix element values but keep matrix symmetric

Reimplemented from TMatrixTBase< Element >.

Definition at line 1604 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element > & TMatrixTSym< Element >::RandomizePD	(	Element	alpha,
		Element	beta,
		Double_t &	seed
	)

virtual

randomize matrix element values but keep matrix symmetric positive definite

Definition at line 1635 of file TMatrixTSym.cxx.

Referenced by TQpDataDens::DataRandom().

template<class Element>

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

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

Definition at line 1059 of file TMatrixTSym.cxx.

template<class Element >

TMatrixTBase< Element > & TMatrixTSym< 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 767 of file TMatrixTSym.cxx.

Referenced by TRobustEstimator::AddColumn(), RooMultiVarGaussian::blockDecompose(), TLinearFitter::Eval(), TLinearFitter::EvalRobust(), TRobustEstimator::GetCorrelation(), TRobustEstimator::GetCovariance(), TMatrixTSym< Element >::GetSub(), operator&&(), TMatrixTSub< Element >::operator*=(), operator<(), operator<=(), TQpLinSolverDens::operator=(), TQpDataDens::operator=(), TLinearFitter::operator=(), operator>(), operator>=(), operator||(), TMatrixTSym< Double_t >::ResizeTo(), TLinearFitter::SetBasisFunctions(), and TLinearFitter::SetFormula().

template<class Element >

TMatrixTBase< Element > & TMatrixTSym< 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 837 of file TMatrixTSym.cxx.

template<class Element>

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

inline

Definition at line 122 of file TMatrixTSym.h.

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 94 of file TMatrixTSym.h.

template<class Element>

TMatrixTBase< Element > & TMatrixTSym< Element >::SetMatrixArray	(	const Element *	data,
		Option_t *	option = `""`
	)

virtual

Copy array data to matrix .

It is assumed that array is of size >= fNelems (=)))) fNrows*fNcols option indicates how the data is stored in the array: option = 'F' : column major (Fortran) m[i][j] = array[i+j*fNrows] else : row major (C) m[i][j] = array[i*fNcols+j] (default)

Reimplemented from TMatrixTBase< Element >.

Definition at line 739 of file TMatrixTSym.cxx.

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 93 of file TMatrixTSym.h.

template<class Element>

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

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

Definition at line 632 of file TMatrixTSym.cxx.

template<class Element>

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

virtual

Insert matrix source starting at [row_lwb][col_lwb] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];.

Implements TMatrixTBase< Element >.

Definition at line 682 of file TMatrixTSym.cxx.

template<class Element >

TMatrixTBase< Element > & TMatrixTSym< Element >::Shift	(	Int_t	row_shift,
		Int_t	col_shift
	)

virtual

Shift the row index by adding row_shift and the column index by adding col_shift, respectively.

So [rowLwb..rowUpb][colLwb..colUpb] becomes [rowLwb+row_shift..rowUpb+row_shift][colLwb+col_shift..colUpb+col_shift]

Reimplemented from TMatrixTBase< Element >.

Definition at line 752 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element > & TMatrixTSym< Element >::Similarity ( const TMatrixT< Element > & b )

Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal .

It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1095 of file TMatrixTSym.cxx.

Referenced by RooAbsPdf::fitTo(), ROOT::TF1Helper::IntegralError(), and test_tmatrix_kalman().

template<class Element>

TMatrixTSym< Element > & TMatrixTSym< Element >::Similarity ( const TMatrixTSym< Element > & b )

Calculate B * (*this) * B^T , final matrix will be (nrowsb x nrowsb) This is a similarity transform when B is orthogonal .

It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1186 of file TMatrixTSym.cxx.

template<class Element>

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

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

Definition at line 1288 of file TMatrixTSym.cxx.

template<class Element>

TMatrixTSym< Element > & TMatrixTSym< Element >::SimilarityT ( const TMatrixT< Element > & b )

Calculate B^T * (*this) * B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1323 of file TMatrixTSym.cxx.

template<class Element>

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

inline

Definition at line 131 of file TMatrixTSym.h.

template<class Element>

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

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

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

Definition at line 377 of file TMatrixTSym.cxx.

Referenced by TMatrixTSym< Double_t >::Mult().

template<class Element>

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

Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'.

Definition at line 425 of file TMatrixTSym.cxx.

template<class Element>

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

Transpose a matrix.

Definition at line 1037 of file TMatrixTSym.cxx.

Referenced by TMatrixTSym< Double_t >::T().

template<class Element>

TMatrixTSym< Element > & TMatrixTSym< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Element *	data
	)

Definition at line 471 of file TMatrixTSym.cxx.

Referenced by ROOT::TF1Helper::IntegralError(), TQpProbDens::MakeData(), TPrincipal::MakePrincipals(), test_tmatrix_kalman(), and TQpDataDens::TQpDataDens().

template<class Element>

const TMatrixTSym<Element>& TMatrixTSym< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		const Element *	data
	)		const

inline

Definition at line 102 of file TMatrixTSym.h.

template<class Element>

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

inline

Definition at line 186 of file TMatrixTSym.h.

template<class Element>

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

inline

Definition at line 187 of file TMatrixTSym.h.

template<class Element>

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

inline

Definition at line 189 of file TMatrixTSym.h.

template<class Element>

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

inline

Definition at line 191 of file TMatrixTSym.h.

Member Data Documentation

template<class Element>

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

protected

Definition at line 42 of file TMatrixTSym.h.

template<class Element>

Element* TMatrixTSym< Element >::fElements

protected

data container

Definition at line 43 of file TMatrixTSym.h.

Referenced by TMatrixTSym< Element >::operator=().

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

math/matrix/inc/TMatrixDSymfwd.h
math/matrix/inc/TMatrixTSym.h
math/matrix/src/TMatrixTSym.cxx

template<class Element> class TMatrixTSym< Element >

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Enumeration Documentation

Constructor & Destructor Documentation

Member Function Documentation

Member Data Documentation

template<class Element>
class TMatrixTSym< Element >