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TMatrixT< Element > Class Template Reference

template<class Element>
class TMatrixT< Element >

TMatrixT.

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_rows*j], else it is supposed that array elements are stored row-wise a[i,j] = elements[i*no_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
 
TClassClass ()
 
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_tGetColIndexArray () const override
 
Int_tGetColIndexArray () override
 
const Element * GetMatrixArray () const override
 
Element * GetMatrixArray () override
 
const Int_tGetRowIndexArray () const override
 
Int_tGetRowIndexArray () 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 .
 
TClassIsA () 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.
 
TClassClass ()
 
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 ()
 
TClassIsA () 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)
 TObject copy ctor.
 
virtual ~TObject ()
 TObject destructor.
 
void AbstractMethod (const char *method) const
 Use this method to implement an "abstract" method that you don't want to leave purely abstract.
 
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 TObjectClone (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 TObjectDrawClone (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 TObjectFindObject (const char *name) const
 Must be redefined in derived classes.
 
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes.
 
virtual Option_tGetDrawOption () 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_tGetOption () 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 *ptr)
 Operator delete.
 
void operator delete (void *ptr, void *vp)
 Only called by placement new when throwing an exception.
 
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)
 
TObjectoperator= (const TObject &rhs)
 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 TClassClass ()
 
static const char * Class_Name ()
 
static constexpr Version_t Class_Version ()
 
static const char * DeclFileName ()
 
- Static Public Member Functions inherited from TMatrixTBase< Element >
static TClassClass ()
 
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 TClassClass ()
 
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.
 

#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
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
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