template<class Element>
class TMatrixT< Element >

Template class of a general matrix in the linear algebra package

See the Matrix Linear Algebra page for the documentation of the linear algebra package

Definition at line 40 of file TMatrixT.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 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff }

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

enum	EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) }

enum	EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) }

Public Member Functions
	TMatrixT ()

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

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

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

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

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

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

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

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

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

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

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

	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]

	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.

	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

	~TMatrixT () override

TClass *	Class ()

void	Clear (Option_t *="") override

Double_t	Determinant () const override
	Return the matrix determinant.

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

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 .

const Int_t *	GetColIndexArray () const override

Int_t *	GetColIndexArray () override

const Element *	GetMatrixArray () const override

Element *	GetMatrixArray () override

const Int_t *	GetRowIndexArray () const override

Int_t *	GetRowIndexArray () override

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

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

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

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

TClass *	IsA () const override

void	Minus (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
	General matrix subtraction. Replace this matrix with C such that C = A - B.

void	Minus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
	General matrix subtraction. Replace this matrix with C such that C = A - B.

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

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

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

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

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

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

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.

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)

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)

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

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

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

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.

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.

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.

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

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

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

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

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

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

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

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

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.

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

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.

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

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

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

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

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

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

TMatrixTRow< Element >	operator[] (Int_t rown)

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

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

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

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.

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.

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

TMatrixTBase< Element > &	ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1) override
	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.

TMatrixTBase< Element > &	ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1) override
	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.

TMatrixTBase< Element > &	SetColIndexArray (Int_t *) override

void	SetElement (Int_t rown, Int_t coln, Element val)
	Efficiently sets element (rown,coln) equal to val Index bound checks can be deactivated by defining NDEBUG.

TMatrixTBase< Element > &	SetRowIndexArray (Int_t *) override

TMatrixTBase< Element > &	SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source) override
	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];.

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

void	Streamer (TBuffer &) override
	Stream an object of class TMatrixT.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

TMatrixT< Element > &	T ()

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

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

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.

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

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

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

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 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])

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

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

	~TMatrixTBase () override

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

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

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

TClass *	Class ()

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

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

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

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.

Int_t	GetColLwb () const

Int_t	GetColUpb () const

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

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.

void	Invalidate ()

TClass *	IsA () const override

Bool_t	IsOwner () const

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

Bool_t	IsValid () const

void	MakeValid ()

virtual Element	Max () const
	return maximum vector element value

virtual Element	Min () const
	return minimum matrix element value

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

Element	Norm1 () const

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

Element	NormInf () const

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

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

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

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

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

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

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

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

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

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

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.

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

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

void	Streamer (TBuffer &) override
	Stream an object of class TMatrixTBase<Element>.

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

virtual Element	Sum () const
	Compute sum of elements.

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

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

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

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

virtual	~TObject ()
	TObject destructor.

void	AbstractMethod (const char *method) const
	Call this function within a function that you don't want to define as purely virtual, in order not to force all users deriving from that class to implement that maybe (on their side) unused function; but at the same time, emit a run-time warning if they try to call it, telling that it is not implemented in the derived class: action must thus be taken on the user side to override it.

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

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

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.

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

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

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

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

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

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

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

virtual TObject *	DrawClone (Option_t *option="") const
	Draw a clone of this object in the current selected pad with: `gROOT->SetSelectedPad(c1)`.

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

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

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

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

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

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

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

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

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

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

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

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

virtual Option_t *	GetOption () const

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

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

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

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

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.

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

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

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

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

void	InvertBit (UInt_t f)

Bool_t	IsDestructed () const
	IsDestructed.

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

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

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.

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).

virtual Bool_t	Notify ()
	This method must be overridden to handle object notification (the base implementation is no-op).

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

void	operator delete (void *, size_t)
	Operator delete for sized deallocation.

void	operator delete (void *ptr)
	Operator delete.

void	operator delete (void ptr, void vp)
	Only called by placement new when throwing an exception.

void	operator delete[] (void *, size_t)
	Operator delete [] for sized deallocation.

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

void	operator delete[] (void ptr, void vp)
	Only called by placement new[] when throwing an exception.

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) noexcept
	TObject assignment operator.

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

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

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

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

void	ResetBit (UInt_t f)

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

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

void	SetBit (UInt_t f)

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

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

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

void	StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b)

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

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.

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

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

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

Static Public Member Functions
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

Static Public Member Functions inherited from TMatrixTBase< Element >
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Element &	NaNValue ()

Static Public Member Functions inherited from TObject
static TClass *	Class ()

static const char *	Class_Name ()

static constexpr Version_t	Class_Version ()

static const char *	DeclFileName ()

static Longptr_t	GetDtorOnly ()
	Return destructor only flag.

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

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

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

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.

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

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 .

Element *	New_m (Int_t size)
	Return data pointer .

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).

void	MakeZombie ()

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

Element *	fElements
	data container

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
Protected Types inherited from TMatrixTBase< Element >
enum	{ kSizeMax = 25 }

enum	{ kWorkMax = 100 }

enum	EMatrixStatusBits { kStatus = (1ULL << ( 14 )) }

Protected Types inherited from TObject
enum	{ kOnlyPrepStep = (1ULL << ( 3 )) }

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

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.

Static Protected Member Functions inherited from TObject
static void	SavePrimitiveConstructor (std::ostream &out, TClass cl, const char variable_name, const char *constructor_agrs="", Bool_t empty_line=kTRUE)
	Save object constructor in the output stream "out".

static void	SavePrimitiveDraw (std::ostream &out, const char variable_name, Option_t option=nullptr)
	Save invocation of primitive Draw() method Skipped if option contains "nodraw" string.

static TString	SavePrimitiveVector (std::ostream &out, const char prefix, Int_t len, Double_t arr, Bool_t empty_line=kFALSE)
	Save array in the output stream "out" as vector.

#include <TMatrixT.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 40 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 49 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 63 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 73 of file TMatrixT.cxx.

◆ TMatrixT() [6/15]

template<class Element >

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

Copy constructor.

Definition at line 84 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 95 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 106 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 119 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); Whenever kInvMult is invoked and b is not squared, additional memory is allocated for a^(-1)

Definition at line 165 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 227 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) Whenever kInvMult is invoked and b is not squared, additional memory is allocated for a^(-1)

Definition at line 281 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 343 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 394 of file TMatrixT.cxx.

◆ ~TMatrixT()

template<class Element >

TMatrixT< Element >::~TMatrixT ( )

inlineoverride

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 464 of file TMatrixT.cxx.

◆ Class() [1/2]

template<class Element >

static TClass * TMatrixT< Element >::Class ( )

static

Returns: TClass describing this class

◆ Class() [2/2]

TClass * TMatrixT< double >::Class ( )

◆ Class_Name()

template<class Element >

static const char * TMatrixT< Element >::Class_Name ( )

static

Returns: Name of this class

◆ Class_Version()

template<class Element >

static constexpr Version_t TMatrixT< Element >::Class_Version ( )

inlinestaticconstexpr

Returns: Version of this class

Definition at line 215 of file TMatrixT.h.

◆ Clear()

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 123 of file TMatrixT.h.

◆ DeclFileName()

template<class Element >

static const char * TMatrixT< Element >::DeclFileName ( )

inlinestatic

Returns: Name of the file containing the class declaration

Definition at line 215 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 406 of file TMatrixT.cxx.

◆ Determinant() [1/2]

template<class Element >

Double_t TMatrixT< Element >::Determinant ( ) const

overridevirtual

Return the matrix determinant.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1355 of file TMatrixT.cxx.

◆ Determinant() [2/2]

template<class Element >

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

overridevirtual

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

Reimplemented from TMatrixTBase< Element >.

Definition at line 1368 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 2289 of file TMatrixT.cxx.

◆ GetColIndexArray() [1/2]

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 117 of file TMatrixT.h.

◆ GetColIndexArray() [2/2]

template<class Element >

Int_t * TMatrixT< Element >::GetColIndexArray ( )

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 118 of file TMatrixT.h.

◆ GetMatrixArray() [1/2]

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 228 of file TMatrixT.h.

◆ GetMatrixArray() [2/2]

template<class Element >

Element * TMatrixT< Element >::GetMatrixArray ( )

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 229 of file TMatrixT.h.

◆ GetRowIndexArray() [1/2]

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 115 of file TMatrixT.h.

◆ GetRowIndexArray() [2/2]

template<class Element >

Int_t * TMatrixT< Element >::GetRowIndexArray ( )

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 116 of file TMatrixT.h.

◆ GetSub() [1/2]

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 248 of file TMatrixT.h.

◆ GetSub() [2/2]

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

overridevirtual

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 1082 of file TMatrixT.cxx.

◆ Invert()

template<class Element >

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

Invert the matrix and calculate its determinant.

Definition at line 1390 of file TMatrixT.cxx.

◆ InvertFast()

template<class Element >

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

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

Definition at line 1404 of file TMatrixT.cxx.

◆ IsA()

template<class Element >

TClass * TMatrixT< Element >::IsA ( ) const

inlineoverridevirtual

Returns: TClass describing current object

Reimplemented from TObject.

Definition at line 215 of file TMatrixT.h.

◆ 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 subtraction. Replace this matrix with C such that C = A - B.

Definition at line 576 of file TMatrixT.cxx.

◆ Minus() [2/3]

template<class Element >

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

General matrix subtraction. Replace this matrix with C such that C = A - B.

Definition at line 610 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. Replace this matrix with C such that C = A * B.

Definition at line 644 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.

Replace this matrix with C such that C = A * B.

Definition at line 745 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.

Replace this matrix with C such that C = A * B.

Definition at line 693 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) Replace this matrix with C such that C = A * B.

Definition at line 797 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. Replace this matrix with C such that C = A * B^T.

Definition at line 947 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.

Replace this matrix with C such that C = A * B^T.

Definition at line 999 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 420 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 1630 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 1676 of file TMatrixT.cxx.

◆ operator()() [1/2]

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 256 of file TMatrixT.h.

◆ operator()() [2/2]

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 273 of file TMatrixT.h.

◆ operator*=() [1/6]

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 1956 of file TMatrixT.cxx.

◆ operator*=() [2/6]

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 2144 of file TMatrixT.cxx.

◆ operator*=() [3/6]

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 2079 of file TMatrixT.cxx.

◆ operator*=() [4/6]

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 2216 of file TMatrixT.cxx.

◆ operator*=() [5/6]

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 2018 of file TMatrixT.cxx.

◆ operator*=() [6/6]

template<class Element >

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

Multiply every element of the matrix with val.

Definition at line 1858 of file TMatrixT.cxx.

◆ operator+=() [1/3]

template<class Element >

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

Add the source matrix.

Definition at line 1874 of file TMatrixT.cxx.

◆ operator+=() [2/3]

template<class Element >

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

Add the source matrix.

Definition at line 1894 of file TMatrixT.cxx.

◆ operator+=() [3/3]

template<class Element >

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

Add val to every element of the matrix.

Definition at line 1826 of file TMatrixT.cxx.

◆ operator-=() [1/3]

template<class Element >

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

Subtract the source matrix.

Definition at line 1914 of file TMatrixT.cxx.

◆ operator-=() [2/3]

template<class Element >

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

Subtract the source matrix.

Definition at line 1934 of file TMatrixT.cxx.

◆ operator-=() [3/3]

template<class Element >

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

Subtract val from every element of the matrix.

Definition at line 1842 of file TMatrixT.cxx.

◆ operator/=() [1/3]

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 2177 of file TMatrixT.cxx.

◆ operator/=() [2/3]

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 2109 of file TMatrixT.cxx.

◆ operator/=() [3/3]

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 2250 of file TMatrixT.cxx.

◆ operator=() [1/6]

template<class Element >

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

Assignment operator.

Definition at line 1719 of file TMatrixT.cxx.

◆ operator=() [2/6]

template<class Element >

template<class Element2 >

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

inline

Definition at line 178 of file TMatrixT.h.

◆ operator=() [3/6]

template<class Element >

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

Assignment operator.

Definition at line 1791 of file TMatrixT.cxx.

◆ operator=() [4/6]

template<class Element >

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

Assignment operator.

Definition at line 1757 of file TMatrixT.cxx.

◆ operator=() [5/6]

template<class Element >

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

Assignment operator.

Definition at line 1738 of file TMatrixT.cxx.

◆ operator=() [6/6]

template<class Element >

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

Assign val to every element of the matrix.

Definition at line 1810 of file TMatrixT.cxx.

◆ operator[]() [1/2]

template<class Element >

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

inline

Definition at line 172 of file TMatrixT.h.

◆ operator[]() [2/2]

template<class Element >

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

inline

Definition at line 171 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. Replace this matrix with C such that C = A + B.

Definition at line 508 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. Replace this matrix with C such that C = A + B.

Definition at line 542 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 1526 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 1555 of file TMatrixT.cxx.

◆ ResizeTo() [1/3]

template<class Element >

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

inline

Definition at line 148 of file TMatrixT.h.

◆ ResizeTo() [2/3]

template<class Element >

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

overridevirtual

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 1203 of file TMatrixT.cxx.

◆ ResizeTo() [3/3]

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 )

overridevirtual

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 1268 of file TMatrixT.cxx.

◆ SetColIndexArray()

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 121 of file TMatrixT.h.

◆ SetElement()

template<class Element >

void TMatrixT< Element >::SetElement	(	Int_t	rown,
		Int_t	coln,
		Element	val )

inline

Efficiently sets element (rown,coln) equal to val Index bound checks can be deactivated by defining NDEBUG.

Definition at line 294 of file TMatrixT.h.

◆ SetRowIndexArray()

template<class Element >

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

inlineoverridevirtual

Implements TMatrixTBase< Element >.

Definition at line 120 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 )

overridevirtual

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 1149 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 1589 of file TMatrixT.cxx.

◆ Streamer()

template<class Element >

void TMatrixT< Element >::Streamer ( TBuffer & R__b )

overridevirtual

Stream an object of class TMatrixT.

Reimplemented from TObject.

Definition at line 3151 of file TMatrixT.cxx.

◆ StreamerNVirtual()

template<class Element >

void TMatrixT< Element >::StreamerNVirtual ( TBuffer & ClassDef_StreamerNVirtual_b )

inline

Definition at line 215 of file TMatrixT.h.

◆ T()

template<class Element >

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

inline

Definition at line 158 of file TMatrixT.h.

◆ TMult() [1/4]

template<class Element >

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

Replace this matrix with C such that C = A' * B.

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

Definition at line 848 of file TMatrixT.cxx.

◆ TMult() [2/4]

template<class Element >

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

Replace this matrix with C such that C = A' * B.

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

Definition at line 898 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 1455 of file TMatrixT.cxx.

◆ Use() [1/6]

template<class Element >

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

inline

Definition at line 241 of file TMatrixT.h.

◆ Use() [2/6]

template<class Element >

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

inline

Definition at line 233 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 231 of file TMatrixT.h.

◆ Use() [4/6]

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 133 of file TMatrixT.h.

◆ Use() [5/6]

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 1049 of file TMatrixT.cxx.

◆ Use() [6/6]

template<class Element >

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

inline

Definition at line 235 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.

math/matrix/inc/TMatrixDfwd.h

math/matrix/inc/TMatrixT.h

math/matrix/src/TMatrixT.cxx

Public Types

Public Member Functions

Static 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()

◆ Class() [1/2]

◆ Class() [2/2]

◆ Class_Name()

◆ Class_Version()

◆ Clear()

◆ DeclFileName()

◆ 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()

◆ IsA()

◆ 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]