template<class Element>
class TMatrixTSym< Element >

Template class of a symmetric matrix in the linear algebra package

Note that in this implementation both matrix element m[i][j] and m[j][i] are updated and stored in memory . However, when making the object persistent only the upper right triangle is stored .

Definition at line 22 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	{ kIsOnHeap = 0x01000000, kNotDeleted = 0x02000000, kZombie = 0x04000000, kInconsistent = 0x08000000, kBitMask = 0x00ffffff }

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

enum	EDeprecatedStatusBits { kObjInCanvas = BIT(3) }

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

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= 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 ()

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...

template<>
TClass *	Class ()

virtual void	Clear (Option_t *="")

virtual Double_t	Determinant () const

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

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

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 > &	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...

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

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

void	Mult (const TMatrixTSym< Element > &a)

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

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

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

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

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

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

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

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...

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

TMatrixTRow< Element >	operator[] (Int_t rown)

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

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...

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 elements 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 TMatrixTBase< Element > &	SetColIndexArray (Int_t *)

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

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *)

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 > &	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...

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...

TMatrixTSym< Element > &	T ()

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...

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

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...

template<>
TClass *	Class ()

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

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

Element	SetTol (Element tol)

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...

ULong_t	CheckedHash ()
	Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. 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 selected pad for instance with: `gROOT->SetSelectedPad(gPad)`. More...

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

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

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

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

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

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

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

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

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

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

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

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

virtual Option_t *	GetOption () const

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

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

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

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

Bool_t	HasInconsistentHash () const
	Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. 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...

R__ALWAYS_INLINE Bool_t	IsOnHeap () const

virtual Bool_t	IsSortable () const

R__ALWAYS_INLINE 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...

R__ALWAYS_INLINE 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 <TMatrixDSymfwd.h>

Inheritance diagram for TMatrixTSym< Element >:

[legend]

Member Enumeration Documentation

◆ anonymous enum

template<class Element>

anonymous enum

Enumerator
kWorkMax

Definition at line 50 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp1

template<class Element>

enum TMatrixTSym::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kInverted
kAtA

Definition at line 51 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp2

template<class Element>

enum TMatrixTSym::EMatrixCreatorsOp2

Enumerator
kPlus
kMinus

Definition at line 52 of file TMatrixTSym.h.

Constructor & Destructor Documentation

◆ TMatrixTSym() [1/11]

template<class Element>

TMatrixTSym< Element >::TMatrixTSym ( )

inline

Definition at line 54 of file TMatrixTSym.h.

◆ TMatrixTSym() [2/11]

template<class Element >

TMatrixTSym< Element >::TMatrixTSym ( Int_t nrows )

explicit

Definition at line 40 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [3/11]

template<class Element >

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

Definition at line 48 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [4/11]

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 64 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [5/11]

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 77 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [6/11]

template<class Element>

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

Definition at line 90 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [7/11]

template<class Element>

template<class Element2 >

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

inline

Definition at line 60 of file TMatrixTSym.h.

◆ TMatrixTSym() [8/11]

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 103 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [9/11]

template<class Element>

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

Definition at line 152 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [10/11]

template<class Element>

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

Definition at line 171 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [11/11]

template<class Element>

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

Definition at line 199 of file TMatrixTSym.cxx.

◆ ~TMatrixTSym()

template<class Element>

virtual TMatrixTSym< Element >::~TMatrixTSym ( )

inlinevirtual

Definition at line 72 of file TMatrixTSym.h.

Member Function Documentation

◆ Allocate()

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 273 of file TMatrixTSym.cxx.

◆ Apply() [1/2]

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 1552 of file TMatrixTSym.cxx.

◆ Apply() [2/2]

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 1579 of file TMatrixTSym.cxx.

◆ Class()

template<>

TClass * TMatrixTSym< double >::Class ( )

◆ Clear()

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 92 of file TMatrixTSym.h.

◆ Delete_m()

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 214 of file TMatrixTSym.cxx.

◆ Determinant() [1/2]

template<class Element >

Double_t TMatrixTSym< Element >::Determinant ( ) const

virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 934 of file TMatrixTSym.cxx.

◆ Determinant() [2/2]

template<class Element >

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

virtual

Reimplemented from TMatrixTBase< Element >.

Definition at line 946 of file TMatrixTSym.cxx.

◆ EigenVectors()

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 1680 of file TMatrixTSym.cxx.

◆ GetColIndexArray() [1/2]

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 86 of file TMatrixTSym.h.

◆ GetColIndexArray() [2/2]

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 87 of file TMatrixTSym.h.

◆ GetMatrixArray() [1/2]

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 189 of file TMatrixTSym.h.

◆ GetMatrixArray() [2/2]

template<class Element >

Element * TMatrixTSym< Element >::GetMatrixArray ( )

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 190 of file TMatrixTSym.h.

◆ GetRowIndexArray() [1/2]

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 84 of file TMatrixTSym.h.

◆ GetRowIndexArray() [2/2]

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 85 of file TMatrixTSym.h.

◆ GetSub() [1/3]

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 502 of file TMatrixTSym.cxx.

◆ GetSub() [2/3]

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 568 of file TMatrixTSym.cxx.

◆ GetSub() [3/3]

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 200 of file TMatrixTSym.h.

◆ Invert()

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 960 of file TMatrixTSym.cxx.

◆ InvertFast()

template<class Element >

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

Invert the matrix and calculate its determinant.

Definition at line 978 of file TMatrixTSym.cxx.

◆ IsSymmetric()

template<class Element>

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

inlinevirtual

Check whether matrix is symmetric.

Reimplemented from TMatrixTBase< Element >.

Definition at line 95 of file TMatrixTSym.h.

◆ Memcpy_m()

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 246 of file TMatrixTSym.cxx.

◆ Minus()

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 345 of file TMatrixTSym.cxx.

◆ Mult()

template<class Element>

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

inline

Definition at line 77 of file TMatrixTSym.h.

◆ New_m()

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 228 of file TMatrixTSym.cxx.

◆ operator()() [1/2]

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 208 of file TMatrixTSym.h.

◆ operator()() [2/2]

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 224 of file TMatrixTSym.h.

◆ operator*=()

template<class Element>

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

Multiply every element of the matrix with val.

Definition at line 1497 of file TMatrixTSym.cxx.

◆ operator+=() [1/2]

template<class Element>

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

Add val to every element of the matrix.

Definition at line 1465 of file TMatrixTSym.cxx.

◆ operator+=() [2/2]

template<class Element>

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

Add the source matrix.

Definition at line 1513 of file TMatrixTSym.cxx.

◆ operator-=() [1/2]

template<class Element>

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

Subtract val from every element of the matrix.

Definition at line 1481 of file TMatrixTSym.cxx.

◆ operator-=() [2/2]

template<class Element>

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

Subtract the source matrix.

Definition at line 1533 of file TMatrixTSym.cxx.

◆ operator=() [1/4]

template<class Element>

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

Definition at line 1413 of file TMatrixTSym.cxx.

◆ operator=() [2/4]

template<class Element>

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

Definition at line 1430 of file TMatrixTSym.cxx.

◆ operator=() [3/4]

template<class Element>

template<class Element2 >

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

inline

Definition at line 144 of file TMatrixTSym.h.

◆ operator=() [4/4]

template<class Element>

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

Assign val to every element of the matrix.

Definition at line 1449 of file TMatrixTSym.cxx.

◆ operator[]() [1/2]

template<class Element>

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

inline

Definition at line 139 of file TMatrixTSym.h.

◆ operator[]() [2/2]

template<class Element>

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

inline

Definition at line 140 of file TMatrixTSym.h.

◆ Plus()

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 311 of file TMatrixTSym.cxx.

◆ Randomize()

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 1607 of file TMatrixTSym.cxx.

◆ RandomizePD()

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 1638 of file TMatrixTSym.cxx.

◆ Rank1Update()

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 1062 of file TMatrixTSym.cxx.

◆ ResizeTo() [1/3]

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 770 of file TMatrixTSym.cxx.

◆ ResizeTo() [2/3]

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 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 840 of file TMatrixTSym.cxx.

◆ ResizeTo() [3/3]

template<class Element>

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

inline

Definition at line 118 of file TMatrixTSym.h.

◆ SetColIndexArray()

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 90 of file TMatrixTSym.h.

◆ SetMatrixArray()

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 742 of file TMatrixTSym.cxx.

◆ SetRowIndexArray()

template<class Element>

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 89 of file TMatrixTSym.h.

◆ SetSub() [1/2]

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 635 of file TMatrixTSym.cxx.

◆ SetSub() [2/2]

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 685 of file TMatrixTSym.cxx.

◆ Shift()

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 755 of file TMatrixTSym.cxx.

◆ Similarity() [1/3]

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 1098 of file TMatrixTSym.cxx.

◆ Similarity() [2/3]

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 1189 of file TMatrixTSym.cxx.

◆ Similarity() [3/3]

template<class Element>

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

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

Definition at line 1291 of file TMatrixTSym.cxx.

◆ SimilarityT()

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 1326 of file TMatrixTSym.cxx.

◆ T()

template<class Element>

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

inline

Definition at line 127 of file TMatrixTSym.h.

◆ TMult() [1/2]

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 380 of file TMatrixTSym.cxx.

◆ TMult() [2/2]

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 428 of file TMatrixTSym.cxx.

◆ Transpose()

template<class Element>

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

Transpose a matrix.

Definition at line 1040 of file TMatrixTSym.cxx.

◆ Use() [1/6]

template<class Element>

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

Definition at line 474 of file TMatrixTSym.cxx.

◆ Use() [2/6]

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 98 of file TMatrixTSym.h.

◆ Use() [3/6]

template<class Element>

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

inline

Definition at line 192 of file TMatrixTSym.h.

◆ Use() [4/6]

template<class Element>

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

inline

Definition at line 193 of file TMatrixTSym.h.

◆ Use() [5/6]

template<class Element>

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

inline

Definition at line 195 of file TMatrixTSym.h.

◆ Use() [6/6]

template<class Element>

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

inline

Definition at line 197 of file TMatrixTSym.h.

Member Data Documentation

◆ fDataStack

template<class Element>

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

protected

Definition at line 38 of file TMatrixTSym.h.

◆ fElements

template<class Element>

Element* TMatrixTSym< Element >::fElements

protected

data container

Definition at line 39 of file TMatrixTSym.h.

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

◆ anonymous enum

◆ EMatrixCreatorsOp1

◆ EMatrixCreatorsOp2

Constructor & Destructor Documentation

◆ TMatrixTSym() [1/11]

◆ TMatrixTSym() [2/11]

◆ TMatrixTSym() [3/11]

◆ TMatrixTSym() [4/11]

◆ TMatrixTSym() [5/11]

◆ TMatrixTSym() [6/11]

◆ TMatrixTSym() [7/11]

◆ TMatrixTSym() [8/11]

◆ TMatrixTSym() [9/11]

◆ TMatrixTSym() [10/11]

◆ TMatrixTSym() [11/11]

◆ ~TMatrixTSym()

Member Function Documentation

◆ Allocate()

◆ Apply() [1/2]

◆ Apply() [2/2]

◆ Class()

◆ 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() [1/3]

◆ GetSub() [2/3]

◆ GetSub() [3/3]

◆ Invert()

◆ InvertFast()

◆ IsSymmetric()

◆ Memcpy_m()

◆ Minus()

◆ Mult()

◆ New_m()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=()

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator=() [1/4]

◆ operator=() [2/4]

◆ operator=() [3/4]

◆ operator=() [4/4]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Plus()

◆ Randomize()

◆ RandomizePD()

◆ Rank1Update()

◆ ResizeTo() [1/3]

◆ ResizeTo() [2/3]

◆ ResizeTo() [3/3]

◆ SetColIndexArray()

◆ SetMatrixArray()

◆ SetRowIndexArray()

◆ SetSub() [1/2]

◆ SetSub() [2/2]

◆ Shift()

◆ Similarity() [1/3]

◆ Similarity() [2/3]

◆ Similarity() [3/3]

◆ SimilarityT()

◆ T()

template<class Element>
class TMatrixTSym< Element >