template<class Element>
class TMatrixTSparse< Element >

Template class of a general sparse matrix in the Harwell-Boeing format

Besides the usual shape/size decsriptors of a matrix like fNrows, fRowLwb,fNcols and fColLwb, we also store a row index, fRowIndex and column index, fColIndex only for those elements unequal zero:

fRowIndex[0,..,fNrows]:    Stores for each row the index range of
                           the elements in the data and column array
fColIndex[0,..,fNelems-1]: Stores the column number for each data
                           element != 0

As an example how to access all sparse data elements:

for (Int_t irow = 0; irow < this->fNrows; irow++) {
  const Int_t sIndex = fRowIndex[irow];
  const Int_t eIndex = fRowIndex[irow+1];
  for (Int_t index = sIndex; index < eIndex; index++) {
    const Int_t icol = fColIndex[index];
    const Element data = fElements[index];
    printf("data(%d,%d) = %.4e\n",irow+this->fRowLwb,icol+
                                              this->fColLwb,data);
  }
}

When checking whether sparse matrices are compatible (like in an assigment !), not only the shape parameters are compared but also the sparse structure through fRowIndex and fColIndex .

Several methods exist to fill a sparse matrix with data entries. Most are the same like for dense matrices but some care has to be taken with regard to performance. In the constructor, always the shape of the matrix has to be specified in some form . Data can be entered through the following methods :

constructor
TMatrixTSparse(Int_t row_lwb,Int_t row_upb,Int_t dol_lwb,

Int_t col_upb,Int_t nr_nonzeros,

Int_t *row, Int_t *col,Element *data);

TMatrixTSparse::TMatrixTSparse
TMatrixTSparse()
Definition: TMatrixTSparse.h:72

It uses SetMatrixArray(..), see below
copy constructors
SetMatrixArray(Int_t nr,Int_t *irow,Int_t *icol,Element *data) where it is expected that the irow,icol and data array contain nr entries . Only the entries with non-zero data[i] value are inserted. Be aware that the input data array will be modified inside the routine for doing the necessary sorting of indices !
TMatrixTSparse a(n,m); for(....) { a(i,j) = .... This is a very flexible method but expensive :
- if no entry for slot (i,j) is found in the sparse index table it will be entered, which involves some memory management !
- before invoking this method in a loop it is smart to first set the index table through a call to SetSparseIndex(..)
SetSub(Int_t row_lwb,Int_t col_lwb,const TMatrixTBase &source) the matrix to be inserted at position (row_lwb,col_lwb) can be both dense or sparse .

Definition at line 35 of file TMatrixTSparse.h.

Public Types
enum	EMatrixCreatorsOp1 { kZero , kUnit , kTransposed , kAtA }

enum	EMatrixCreatorsOp2 { kMult , kMultTranspose , 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
	TMatrixTSparse ()

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

	TMatrixTSparse (const TMatrixT< Element > &another)

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

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

	TMatrixTSparse (const TMatrixTSparse< Element > &another)

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

	TMatrixTSparse (Int_t nrows, Int_t ncols)
	Space is allocated for row/column indices and data, but the sparse structure information has still to be set ! More...

	TMatrixTSparse (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb)
	Space is allocated for row/column indices and data, but the sparse structure information has still to be set ! More...

	TMatrixTSparse (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros, Int_t row, Int_t col, Element *data)
	Space is allocated for row/column indices and data. More...

virtual	~TMatrixTSparse ()

TClass *	Class ()

virtual void	Clear (Option_t *="")

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

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

virtual Int_t *	GetColIndexArray ()

virtual const Int_t *	GetColIndexArray () const

virtual void	GetMatrix2Array (Element data, Option_t ="") const
	Copy matrix data to array . It is assumed that array is of size >= fNelems. More...

virtual Element *	GetMatrixArray ()

virtual const Element *	GetMatrixArray () const

virtual Int_t *	GetRowIndexArray ()

virtual const Int_t *	GetRowIndexArray () const

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

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...

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

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

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

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

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

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

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

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

TMatrixTSparse< Element > &	operator*= (const TMatrixTSparse< Element > &source)

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

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

TMatrixTSparse< Element > &	operator+= (const TMatrixTSparse< Element > &source)

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

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

TMatrixTSparse< Element > &	operator-= (const TMatrixTSparse< Element > &source)

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

TMatrixTSparse< Element > &	operator= (const TMatrixT< Element > &source)
	Notice that the sparsity of the matrix is NOT changed : its fRowIndex/fColIndex are used ! More...

TMatrixTSparse< Element > &	operator= (const TMatrixTSparse< Element > &source)
	Notice that the sparsity of the matrix is NOT changed : its fRowIndex/fColIndex are used ! More...

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

TMatrixTSparseRow< Element >	operator[] (Int_t rown)

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

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

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

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

virtual TMatrixTBase< Element > &	ResizeTo (Int_t nrows, Int_t ncols, Int_t nr_nonzeros=-1)
	Set size of the matrix to nrows x ncols with nr_nonzeros non-zero entries if nr_nonzeros > 0 . More...

virtual TMatrixTBase< Element > &	ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros=-1)
	Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] with nr_nonzeros non-zero entries if nr_nonzeros > 0 . More...

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

virtual TMatrixTBase< Element > &	SetColIndexArray (Int_t *data)

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

virtual TMatrixTBase< Element > &	SetMatrixArray (Int_t nr_nonzeros, Int_t irow, Int_t icol, Element *data)
	Copy nr elements from row/col index and data array to matrix . More...

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *data)

TMatrixTSparse< Element > &	SetSparseIndex (const TMatrixTBase< Element > &another)
	Use non-zero data of matrix source to set the sparse structure. More...

TMatrixTSparse< Element > &	SetSparseIndex (Int_t nelem_new)
	Increase/decrease the number of non-zero elements to nelems_new. More...

TMatrixTSparse< Element > &	SetSparseIndexAB (const TMatrixT< Element > &a, const TMatrixTSparse< Element > &b)
	Set the row/column indices to the "sum" of matrices a and b It is checked that enough space has been allocated. More...

TMatrixTSparse< Element > &	SetSparseIndexAB (const TMatrixTSparse< Element > &a, const TMatrixT< Element > &b)

TMatrixTSparse< Element > &	SetSparseIndexAB (const TMatrixTSparse< Element > &a, const TMatrixTSparse< Element > &b)
	Set the row/column indices to the "sum" of matrices a and b It is checked that enough space has been allocated. 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], thereby overwriting the part [row_lwb..row_lwb+nrows_source-1][col_lwb..col_lwb+ncols_source-1];. More...

TMatrixTSparse< Element > &	T ()

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

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

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

const TMatrixTSparse< Element > &	Use (Int_t nrows, Int_t ncols, Int_t nr_nonzeros, const Int_t pRowIndex, const Int_t pColIndex, const Element *pData) const

TMatrixTSparse< Element > &	Use (Int_t nrows, Int_t ncols, Int_t nr_nonzeros, Int_t pRowIndex, Int_t pColIndex, Element *pData)

const TMatrixTSparse< Element > &	Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros, const Int_t pRowIndex, const Int_t pColIndex, const Element *pData) const

TMatrixTSparse< Element > &	Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros, Int_t pRowIndex, Int_t pColIndex, Element *pData)

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

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

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

virtual	~TMatrixTBase ()

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

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

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

TClass *	Class ()

virtual void	Clear (Option_t *option="")=0

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

virtual Double_t	Determinant () const

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

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...

virtual const Int_t *	GetColIndexArray () const =0

virtual Int_t *	GetColIndexArray ()=0

Int_t	GetColLwb () const

Int_t	GetColUpb () const

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

virtual const Element *	GetMatrixArray () const =0

virtual Element *	GetMatrixArray ()=0

Int_t	GetNcols () const

Int_t	GetNoElements () const

Int_t	GetNrows () const

virtual const Int_t *	GetRowIndexArray () const =0

virtual Int_t *	GetRowIndexArray ()=0

Int_t	GetRowLwb () const

Int_t	GetRowUpb () const

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 =0

Element	GetTol () const

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

void	Invalidate ()

Bool_t	IsOwner () const

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

Bool_t	IsValid () const

void	MakeValid ()

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

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

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

Element	Norm1 () const

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

Element	NormInf () const

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

virtual Element	operator() (Int_t rown, Int_t coln) const =0

virtual Element &	operator() (Int_t rown, Int_t coln)=0

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

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

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

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

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

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

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

virtual TMatrixTBase< Element > &	ResizeTo (Int_t nrows, Int_t ncols, Int_t nr_nonzeros=-1)=0

virtual TMatrixTBase< Element > &	ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros=-1)=0

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

virtual TMatrixTBase< Element > &	SetColIndexArray (Int_t *data)=0

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

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *data)=0

virtual TMatrixTBase< Element > &	SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source)=0

Element	SetTol (Element tol)

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

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

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

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

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

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

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

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

virtual	~TObject ()
	TObject destructor. More...

void	AbstractMethod (const char *method) const
	Use this method to implement an "abstract" method that you don't want to leave purely abstract. More...

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

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

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 void	Clear (Option_t *="")

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	Draw (Option_t *option="")
	Default Draw method for all objects. 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 void	Print (Option_t *option="") const
	This method must be overridden when a class wants to print itself. 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)

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

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

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

virtual void	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 nr_nonzeros=0)
	Allocate new matrix. More...

void	AMinusB (const TMatrixT< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)
	General matrix subtraction. More...

void	AMinusB (const TMatrixTSparse< Element > &a, const TMatrixT< Element > &b, Int_t constr=0)
	General matrix subtraction. More...

void	AMinusB (const TMatrixTSparse< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)
	General matrix subtraction. More...

void	AMultB (const TMatrixT< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)

void	AMultB (const TMatrixTSparse< Element > &a, const TMatrixT< Element > &b, Int_t constr=0)

void	AMultB (const TMatrixTSparse< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)

void	AMultBt (const TMatrixT< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)
	General matrix multiplication. More...

void	AMultBt (const TMatrixTSparse< Element > &a, const TMatrixT< Element > &b, Int_t constr=0)
	General matrix multiplication. More...

void	AMultBt (const TMatrixTSparse< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)
	General matrix multiplication. More...

void	APlusB (const TMatrixT< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)

void	APlusB (const TMatrixTSparse< Element > &a, const TMatrixT< Element > &b, Int_t constr=0)
	General matrix addition. More...

void	APlusB (const TMatrixTSparse< Element > &a, const TMatrixTSparse< Element > &b, Int_t constr=0)
	General matrix addition. 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
Int_t *	fColIndex

Element *	fElements

Int_t *	fRowIndex

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 <TMatrixTSparse.h>

Inheritance diagram for TMatrixTSparse< Element >:

[legend]

Member Enumeration Documentation

◆ EMatrixCreatorsOp1

template<class Element >

enum TMatrixTSparse::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kAtA

Definition at line 69 of file TMatrixTSparse.h.

◆ EMatrixCreatorsOp2

template<class Element >

enum TMatrixTSparse::EMatrixCreatorsOp2

Enumerator
kMult
kMultTranspose
kPlus
kMinus

Definition at line 70 of file TMatrixTSparse.h.

Constructor & Destructor Documentation

◆ TMatrixTSparse() [1/10]

template<class Element >

TMatrixTSparse< Element >::TMatrixTSparse ( )

inline

Definition at line 72 of file TMatrixTSparse.h.

◆ TMatrixTSparse() [2/10]

template<class Element >

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

Space is allocated for row/column indices and data, but the sparse structure information has still to be set !

Definition at line 93 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [3/10]

template<class Element >

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

Space is allocated for row/column indices and data, but the sparse structure information has still to be set !

Definition at line 103 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [4/10]

template<class Element >

TMatrixTSparse< Element >::TMatrixTSparse	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Int_t	nr,
		Int_t *	row,
		Int_t *	col,
		Element *	data
	)

Space is allocated for row/column indices and data.

Sparse row/column index structure together with data is coming from the arrays, row, col and data, resp .

Definition at line 113 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [5/10]

template<class Element >

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

Definition at line 152 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [6/10]

template<class Element >

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

Definition at line 165 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [7/10]

template<class Element >

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

Create a matrix applying a specific operation to the prototype.

Supported operations are: kZero, kUnit, kTransposed and kAtA

Definition at line 178 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [8/10]

template<class Element >

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

Create a matrix applying a specific operation to two prototypes.

Supported operations are: kMult (a*b), kMultTranspose (a*b'), kPlus (a+b), kMinus (a-b)

Definition at line 228 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [9/10]

template<class Element >

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

Create a matrix applying a specific operation to two prototypes.

Supported operations are: kMult (a*b), kMultTranspose (a*b'), kPlus (a+b), kMinus (a-b)

Definition at line 260 of file TMatrixTSparse.cxx.

◆ TMatrixTSparse() [10/10]

template<class Element >

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

Create a matrix applying a specific operation to two prototypes.

Supported operations are: kMult (a*b), kMultTranspose (a*b'), kPlus (a+b), kMinus (a-b)

Definition at line 292 of file TMatrixTSparse.cxx.

◆ ~TMatrixTSparse()

template<class Element >

virtual TMatrixTSparse< Element >::~TMatrixTSparse ( )

inlinevirtual

Definition at line 85 of file TMatrixTSparse.h.

Member Function Documentation

◆ Allocate()

template<class Element >

void TMatrixTSparse< 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	nr_nonzeros = `0`
	)

protected

Allocate new matrix.

Arguments are number of rows, columns, row lowerbound (0 default) and column lowerbound (0 default), 0 initialization flag and number of non-zero elements (only relevant for sparse format).

Definition at line 325 of file TMatrixTSparse.cxx.

◆ AMinusB() [1/3]

template<class Element >

void TMatrixTSparse< Element >::AMinusB	(	const TMatrixT< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix subtraction.

Create a matrix C such that C = A - B. Note, matrix C is allocated for constr=1.

Definition at line 1088 of file TMatrixTSparse.cxx.

◆ AMinusB() [2/3]

template<class Element >

void TMatrixTSparse< Element >::AMinusB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixT< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix subtraction.

Create a matrix C such that C = A - B. Note, matrix C is allocated for constr=1.

Definition at line 1017 of file TMatrixTSparse.cxx.

◆ AMinusB() [3/3]

template<class Element >

void TMatrixTSparse< Element >::AMinusB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix subtraction.

Create a matrix C such that C = A - B. Note, matrix C is allocated for constr=1.

Definition at line 935 of file TMatrixTSparse.cxx.

◆ AMultB() [1/3]

template<class Element >

void TMatrixTSparse< Element >::AMultB	(	const TMatrixT< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

inlineprotected

Definition at line 52 of file TMatrixTSparse.h.

◆ AMultB() [2/3]

template<class Element >

void TMatrixTSparse< Element >::AMultB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixT< Element > &	b,
		Int_t	constr = `0`
	)

inlineprotected

Definition at line 49 of file TMatrixTSparse.h.

◆ AMultB() [3/3]

template<class Element >

void TMatrixTSparse< Element >::AMultB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

inlineprotected

Definition at line 47 of file TMatrixTSparse.h.

◆ AMultBt() [1/3]

template<class Element >

void TMatrixTSparse< Element >::AMultBt	(	const TMatrixT< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix multiplication.

Create a matrix C such that C = A * B'. Note, matrix C is allocated for constr=1.

Definition at line 690 of file TMatrixTSparse.cxx.

◆ AMultBt() [2/3]

template<class Element >

void TMatrixTSparse< Element >::AMultBt	(	const TMatrixTSparse< Element > &	a,
		const TMatrixT< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix multiplication.

Create a matrix C such that C = A * B'. Note, matrix C is allocated for constr=1.

Definition at line 599 of file TMatrixTSparse.cxx.

◆ AMultBt() [3/3]

template<class Element >

void TMatrixTSparse< Element >::AMultBt	(	const TMatrixTSparse< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix multiplication.

Create a matrix C such that C = A * B'. Note, matrix C is allocated for constr=1.

Definition at line 491 of file TMatrixTSparse.cxx.

◆ APlusB() [1/3]

template<class Element >

void TMatrixTSparse< Element >::APlusB	(	const TMatrixT< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

inlineprotected

Definition at line 61 of file TMatrixTSparse.h.

◆ APlusB() [2/3]

template<class Element >

void TMatrixTSparse< Element >::APlusB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixT< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix addition.

Create a matrix C such that C = A + B. Note, matrix C is allocated for constr=1.

Definition at line 864 of file TMatrixTSparse.cxx.

◆ APlusB() [3/3]

template<class Element >

void TMatrixTSparse< Element >::APlusB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixTSparse< Element > &	b,
		Int_t	constr = `0`
	)

protected

General matrix addition.

Create a matrix C such that C = A + B. Note, matrix C is allocated for constr=1.

Definition at line 782 of file TMatrixTSparse.cxx.

◆ Class()

TClass * TMatrixTSparse< double >::Class ( )

◆ Clear()

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 116 of file TMatrixTSparse.h.

◆ ColNorm()

template<class Element >

Element TMatrixTSparse< Element >::ColNorm

virtual

Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}.

The norm is induced by the 1 vector norm.

Reimplemented from TMatrixTBase< Element >.

Definition at line 2129 of file TMatrixTSparse.cxx.

◆ ExtractRow()

template<class Element >

void TMatrixTSparse< Element >::ExtractRow	(	Int_t	row,
		Int_t	col,
		Element *	v,
		Int_t	n = `-1`
	)		const

virtual

Store in array v, n matrix elements of row rown starting at column coln.

Reimplemented from TMatrixTBase< Element >.

Definition at line 450 of file TMatrixTSparse.cxx.

◆ GetColIndexArray() [1/2]

template<class Element >

Int_t * TMatrixTSparse< Element >::GetColIndexArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 220 of file TMatrixTSparse.h.

◆ GetColIndexArray() [2/2]

template<class Element >

const Int_t * TMatrixTSparse< Element >::GetColIndexArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 219 of file TMatrixTSparse.h.

◆ GetMatrix2Array()

template<class Element >

void TMatrixTSparse< Element >::GetMatrix2Array	(	Element *	data,
		Option_t *	= `""`
	)		const

virtual

Copy matrix data to array . It is assumed that array is of size >= fNelems.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1158 of file TMatrixTSparse.cxx.

◆ GetMatrixArray() [1/2]

template<class Element >

Element * TMatrixTSparse< Element >::GetMatrixArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 216 of file TMatrixTSparse.h.

◆ GetMatrixArray() [2/2]

template<class Element >

const Element * TMatrixTSparse< Element >::GetMatrixArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 215 of file TMatrixTSparse.h.

◆ GetRowIndexArray() [1/2]

template<class Element >

Int_t * TMatrixTSparse< Element >::GetRowIndexArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 218 of file TMatrixTSparse.h.

◆ GetRowIndexArray() [2/2]

template<class Element >

const Int_t * TMatrixTSparse< Element >::GetRowIndexArray

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 217 of file TMatrixTSparse.h.

◆ GetSub() [1/2]

template<class Element >

TMatrixTSparse< Element > TMatrixTSparse< 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 244 of file TMatrixTSparse.h.

◆ GetSub() [2/2]

template<class Element >

TMatrixTBase< Element > & TMatrixTSparse< 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 1751 of file TMatrixTSparse.cxx.

◆ InsertRow()

template<class Element >

TMatrixTBase< Element > & TMatrixTSparse< Element >::InsertRow	(	Int_t	row,
		Int_t	col,
		const Element *	v,
		Int_t	n = `-1`
	)

virtual

Insert in row rown, n elements of array v at column coln.

Reimplemented from TMatrixTBase< Element >.

Definition at line 367 of file TMatrixTSparse.cxx.

◆ IsSymmetric()

template<class Element >

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

inlinevirtual

Check whether matrix is symmetric.

Reimplemented from TMatrixTBase< Element >.

Definition at line 146 of file TMatrixTSparse.h.

◆ Mult()

template<class Element >

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

inline

Definition at line 150 of file TMatrixTSparse.h.

◆ NonZeros()

template<class Element >

virtual Int_t TMatrixTSparse< Element >::NonZeros ( ) const

inlinevirtual

Compute the number of elements != 0.0.

Reimplemented from TMatrixTBase< Element >.

Definition at line 157 of file TMatrixTSparse.h.

◆ NormByDiag()

template<class Element >

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

inlinevirtual

option:

"D" : b(i,j) = a(i,j)/sqrt(abs*(v(i)*v(j))) (default)
else : b(i,j) = a(i,j)*sqrt(abs*(v(i)*v(j))) (default)

Reimplemented from TMatrixTBase< Element >.

Definition at line 159 of file TMatrixTSparse.h.

◆ operator()() [1/2]

template<class Element >

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

virtual

Implements TMatrixTBase< Element >.

Definition at line 2157 of file TMatrixTSparse.cxx.

◆ operator()() [2/2]

template<class Element >

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

virtual

Implements TMatrixTBase< Element >.

Definition at line 2201 of file TMatrixTSparse.cxx.

◆ operator*=() [1/3]

template<class Element >

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

inline

Definition at line 194 of file TMatrixTSparse.h.

◆ operator*=() [2/3]

template<class Element >

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

inline

Definition at line 190 of file TMatrixTSparse.h.

◆ operator*=() [3/3]

template<class Element >

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

Multiply every element of the matrix with val.

Definition at line 2340 of file TMatrixTSparse.cxx.

◆ operator+=() [1/3]

template<class Element >

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

inline

Definition at line 182 of file TMatrixTSparse.h.

◆ operator+=() [2/3]

template<class Element >

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

inline

Definition at line 178 of file TMatrixTSparse.h.

◆ operator+=() [3/3]

template<class Element >

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

Add val to every element of the matrix.

Definition at line 2308 of file TMatrixTSparse.cxx.

◆ operator-=() [1/3]

template<class Element >

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

inline

Definition at line 188 of file TMatrixTSparse.h.

◆ operator-=() [2/3]

template<class Element >

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

inline

Definition at line 184 of file TMatrixTSparse.h.

◆ operator-=() [3/3]

template<class Element >

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

Subtract val from every element of the matrix.

Definition at line 2324 of file TMatrixTSparse.cxx.

◆ operator=() [1/3]

template<class Element >

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

Notice that the sparsity of the matrix is NOT changed : its fRowIndex/fColIndex are used !

Definition at line 2256 of file TMatrixTSparse.cxx.

◆ operator=() [2/3]

template<class Element >

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

Notice that the sparsity of the matrix is NOT changed : its fRowIndex/fColIndex are used !

Definition at line 2233 of file TMatrixTSparse.cxx.

◆ operator=() [3/3]

template<class Element >

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

Assign val to every element of the matrix.

Check that the row/col indices are set !

Definition at line 2287 of file TMatrixTSparse.cxx.

◆ operator[]() [1/2]

template<class Element >

TMatrixTSparseRow< Element > TMatrixTSparse< Element >::operator[] ( Int_t rown )

inline

Definition at line 168 of file TMatrixTSparse.h.

◆ operator[]() [2/2]

template<class Element >

const TMatrixTSparseRow_const< Element > TMatrixTSparse< Element >::operator[] ( Int_t rown ) const

inline

Definition at line 167 of file TMatrixTSparse.h.

◆ Randomize()

template<class Element >

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

virtual

randomize matrix element values

Reimplemented from TMatrixTBase< Element >.

Definition at line 2356 of file TMatrixTSparse.cxx.

◆ RandomizePD()

template<class Element >

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

virtual

randomize matrix element values but keep matrix symmetric positive definite

Definition at line 2403 of file TMatrixTSparse.cxx.

◆ ResizeTo() [1/3]

template<class Element >

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

inline

Definition at line 113 of file TMatrixTSparse.h.

◆ ResizeTo() [2/3]

template<class Element >

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

virtual

Set size of the matrix to nrows x ncols with nr_nonzeros non-zero entries if nr_nonzeros > 0 .

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 1518 of file TMatrixTSparse.cxx.

◆ ResizeTo() [3/3]

template<class Element >

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

virtual

Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] with nr_nonzeros non-zero entries if nr_nonzeros > 0 .

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 1612 of file TMatrixTSparse.cxx.

◆ RowNorm()

template<class Element >

Element TMatrixTSparse< Element >::RowNorm

virtual

Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}.

The norm is induced by the infinity vector norm.

Reimplemented from TMatrixTBase< Element >.

Definition at line 2100 of file TMatrixTSparse.cxx.

◆ SetColIndexArray()

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 95 of file TMatrixTSparse.h.

◆ SetMatrixArray() [1/2]

template<class Element >

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

inlinevirtual

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 105 of file TMatrixTSparse.h.

◆ SetMatrixArray() [2/2]

template<class Element >

TMatrixTBase< Element > & TMatrixTSparse< Element >::SetMatrixArray	(	Int_t	nr,
		Int_t *	row,
		Int_t *	col,
		Element *	data
	)

virtual

Copy nr elements from row/col index and data array to matrix .

It is assumed that arrays are of size >= nr Note that the input arrays are not passed as const since they will be modified !

Definition at line 1172 of file TMatrixTSparse.cxx.

◆ SetRowIndexArray()

template<class Element >

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

inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 94 of file TMatrixTSparse.h.

◆ SetSparseIndex() [1/2]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::SetSparseIndex ( const TMatrixTBase< Element > & another )

Use non-zero data of matrix source to set the sparse structure.

Definition at line 1296 of file TMatrixTSparse.cxx.

◆ SetSparseIndex() [2/2]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::SetSparseIndex ( Int_t nelem_new )

Increase/decrease the number of non-zero elements to nelems_new.

Definition at line 1262 of file TMatrixTSparse.cxx.

◆ SetSparseIndexAB() [1/3]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::SetSparseIndexAB	(	const TMatrixT< Element > &	a,
		const TMatrixTSparse< Element > &	b
	)

Set the row/column indices to the "sum" of matrices a and b It is checked that enough space has been allocated.

Definition at line 1433 of file TMatrixTSparse.cxx.

◆ SetSparseIndexAB() [2/3]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::SetSparseIndexAB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixT< Element > &	b
	)

inline

Definition at line 101 of file TMatrixTSparse.h.

◆ SetSparseIndexAB() [3/3]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::SetSparseIndexAB	(	const TMatrixTSparse< Element > &	a,
		const TMatrixTSparse< Element > &	b
	)

Set the row/column indices to the "sum" of matrices a and b It is checked that enough space has been allocated.

Definition at line 1339 of file TMatrixTSparse.cxx.

◆ SetSub()

template<class Element >

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

virtual

Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source-1][col_lwb..col_lwb+ncols_source-1];.

Implements TMatrixTBase< Element >.

Definition at line 1851 of file TMatrixTSparse.cxx.

◆ T()

template<class Element >

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

inline

Definition at line 148 of file TMatrixTSparse.h.

◆ Transpose()

template<class Element >

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

Transpose a matrix.

Definition at line 1987 of file TMatrixTSparse.cxx.

◆ UnitMatrix()

template<class Element >

TMatrixTBase< Element > & TMatrixTSparse< Element >::UnitMatrix

virtual

Make a unit matrix (matrix need not be a square one).

Reimplemented from TMatrixTBase< Element >.

Definition at line 2058 of file TMatrixTSparse.cxx.

◆ Use() [1/6]

template<class Element >

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

inline

Definition at line 237 of file TMatrixTSparse.h.

◆ Use() [2/6]

template<class Element >

const TMatrixTSparse< Element > & TMatrixTSparse< Element >::Use	(	Int_t	nrows,
		Int_t	ncols,
		Int_t	nr_nonzeros,
		const Int_t *	pRowIndex,
		const Int_t *	pColIndex,
		const Element *	pData
	)		const

inline

Definition at line 227 of file TMatrixTSparse.h.

◆ Use() [3/6]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::Use	(	Int_t	nrows,
		Int_t	ncols,
		Int_t	nr_nonzeros,
		Int_t *	pRowIndex,
		Int_t *	pColIndex,
		Element *	pData
	)

inline

Definition at line 223 of file TMatrixTSparse.h.

◆ Use() [4/6]

template<class Element >

const TMatrixTSparse< Element > & TMatrixTSparse< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Int_t	nr_nonzeros,
		const Int_t *	pRowIndex,
		const Int_t *	pColIndex,
		const Element *	pData
	)		const

inline

Definition at line 127 of file TMatrixTSparse.h.

◆ Use() [5/6]

template<class Element >

TMatrixTSparse< Element > & TMatrixTSparse< Element >::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		Int_t	nr_nonzeros,
		Int_t *	pRowIndex,
		Int_t *	pColIndex,
		Element *	pData
	)

Definition at line 1711 of file TMatrixTSparse.cxx.

◆ Use() [6/6]

template<class Element >

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

inline

Definition at line 231 of file TMatrixTSparse.h.

◆ Zero()

template<class Element >

TMatrixTBase< Element > & TMatrixTSparse< Element >::Zero

virtual

Set matrix elements to zero.

Reimplemented from TMatrixTBase< Element >.

Definition at line 2042 of file TMatrixTSparse.cxx.

Member Data Documentation

◆ fColIndex

template<class Element >

Int_t* TMatrixTSparse< Element >::fColIndex

protected

Definition at line 40 of file TMatrixTSparse.h.

◆ fElements

template<class Element >

Element* TMatrixTSparse< Element >::fElements

protected

Definition at line 41 of file TMatrixTSparse.h.

◆ fRowIndex

template<class Element >

Int_t* TMatrixTSparse< Element >::fRowIndex

protected

Definition at line 39 of file TMatrixTSparse.h.

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

math/matrix/inc/TMatrixDSparsefwd.h
math/matrix/inc/TMatrixTSparse.h
math/matrix/src/TMatrixTSparse.cxx

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Additional Inherited Members

Member Enumeration Documentation

◆ EMatrixCreatorsOp1

◆ EMatrixCreatorsOp2

Constructor & Destructor Documentation

◆ TMatrixTSparse() [1/10]

◆ TMatrixTSparse() [2/10]

◆ TMatrixTSparse() [3/10]

◆ TMatrixTSparse() [4/10]

◆ TMatrixTSparse() [5/10]

◆ TMatrixTSparse() [6/10]

◆ TMatrixTSparse() [7/10]

◆ TMatrixTSparse() [8/10]

◆ TMatrixTSparse() [9/10]

◆ TMatrixTSparse() [10/10]

◆ ~TMatrixTSparse()

Member Function Documentation

◆ Allocate()

◆ AMinusB() [1/3]

◆ AMinusB() [2/3]

◆ AMinusB() [3/3]

◆ AMultB() [1/3]

◆ AMultB() [2/3]

◆ AMultB() [3/3]

◆ AMultBt() [1/3]

◆ AMultBt() [2/3]

◆ AMultBt() [3/3]

◆ APlusB() [1/3]

◆ APlusB() [2/3]

◆ APlusB() [3/3]

◆ Class()

◆ Clear()

◆ ColNorm()

◆ ExtractRow()

◆ GetColIndexArray() [1/2]

◆ GetColIndexArray() [2/2]

◆ GetMatrix2Array()

◆ GetMatrixArray() [1/2]

◆ GetMatrixArray() [2/2]

◆ GetRowIndexArray() [1/2]

◆ GetRowIndexArray() [2/2]

◆ GetSub() [1/2]

◆ GetSub() [2/2]

◆ InsertRow()

◆ IsSymmetric()

◆ Mult()

◆ NonZeros()

◆ NormByDiag()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=() [1/3]

◆ operator*=() [2/3]

◆ operator*=() [3/3]

◆ operator+=() [1/3]

◆ operator+=() [2/3]

◆ operator+=() [3/3]

◆ operator-=() [1/3]

◆ operator-=() [2/3]

◆ operator-=() [3/3]

◆ operator=() [1/3]

◆ operator=() [2/3]

◆ operator=() [3/3]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Randomize()

◆ RandomizePD()

◆ ResizeTo() [1/3]

◆ ResizeTo() [2/3]

◆ ResizeTo() [3/3]

◆ RowNorm()

◆ SetColIndexArray()

◆ SetMatrixArray() [1/2]

◆ SetMatrixArray() [2/2]

◆ SetRowIndexArray()

◆ SetSparseIndex() [1/2]

◆ SetSparseIndex() [2/2]