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Reference Guide
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 ROOT Matrix Linear Algebra classes. for the documentation of the linear algebra package

Definition at line 22 of file TMatrixDfwd.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 = 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

 TMatrixT ()
 
 TMatrixT (Int_t nrows, Int_t ncols)
 Constructor for (nrows x ncols) matrix. More...
 
 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. More...
 
 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] More...
 
 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 More...
 
 TMatrixT (const TMatrixT< Element > &another)
 Copy constructor. More...
 
 TMatrixT (const TMatrixTSym< Element > &another)
 Copy constructor of a symmetric matrix. More...
 
 TMatrixT (const TMatrixTSparse< Element > &another)
 Copy constructor of a sparse matrix. More...
 
template<class Element2 >
 TMatrixT (const TMatrixT< Element2 > &another)
 
 TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype)
 Constructor of matrix applying a specific operation to the prototype. More...
 
 TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b)
 Constructor of matrix applying a specific operation to two prototypes. More...
 
 TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b)
 Constructor of matrix applying a specific operation to two prototypes. More...
 
 TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b)
 Constructor of matrix applying a specific operation to two prototypes. More...
 
 TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b)
 Constructor of matrix applying a specific operation to two prototypes. More...
 
 TMatrixT (const TMatrixTLazy< Element > &lazy_constructor)
 Constructor using the TMatrixTLazy class. More...
 
virtual ~TMatrixT ()
 
template<>
TClassClass ()
 
virtual void Clear (Option_t *="")
 
virtual Double_t Determinant () const
 Return the matrix determinant. More...
 
virtual void Determinant (Double_t &d1, Double_t &d2) const
 Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2) More...
 
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 . More...
 
virtual const Int_tGetColIndexArray () const
 
virtual Int_tGetColIndexArray ()
 
virtual const Element * GetMatrixArray () const
 
virtual Element * GetMatrixArray ()
 
virtual const Int_tGetRowIndexArray () const
 
virtual Int_tGetRowIndexArray ()
 
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] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More...
 
TMatrixT< Element > GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const
 
TMatrixT< Element > & Invert (Double_t *det=0)
 Invert the matrix and calculate its determinant. More...
 
TMatrixT< Element > & InvertFast (Double_t *det=0)
 Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used . More...
 
void Minus (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
 General matrix summation. Create a matrix C such that C = A - B. More...
 
void Minus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
 General matrix summation. Create a matrix C such that C = A - B. More...
 
void Minus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)
 
void Mult (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
 General matrix multiplication. Create a matrix C such that C = A * B. More...
 
void Mult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
 Matrix multiplication, with A general and B symmetric. More...
 
void Mult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b)
 Matrix multiplication, with A symmetric and B general. More...
 
void Mult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
 Matrix multiplication, with A symmetric and B symmetric. More...
 
void MultT (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
 General matrix multiplication. Create a matrix C such that C = A * B^T. More...
 
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. More...
 
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) More...
 
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) More...
 
Element operator() (Int_t rown, Int_t coln) const
 
Element & operator() (Int_t rown, Int_t coln)
 
TMatrixT< Element > & operator*= (Element val)
 Multiply every element of the matrix with val. More...
 
TMatrixT< Element > & operator*= (const TMatrixT< Element > &source)
 Compute target = target * source inplace. More...
 
TMatrixT< Element > & operator*= (const TMatrixTSym< Element > &source)
 Compute target = target * source inplace. More...
 
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. More...
 
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. More...
 
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. More...
 
TMatrixT< Element > & operator+= (Element val)
 Add val to every element of the matrix. More...
 
TMatrixT< Element > & operator+= (const TMatrixT< Element > &source)
 Add the source matrix. More...
 
TMatrixT< Element > & operator+= (const TMatrixTSym< Element > &source)
 Add the source matrix. More...
 
TMatrixT< Element > & operator-= (Element val)
 Subtract val from every element of the matrix. More...
 
TMatrixT< Element > & operator-= (const TMatrixT< Element > &source)
 Subtract the source matrix. More...
 
TMatrixT< Element > & operator-= (const TMatrixTSym< Element > &source)
 Subtract the source matrix. More...
 
TMatrixT< Element > & operator/= (const TMatrixTDiag_const< Element > &diag)
 Divide a matrix row by the diagonal of another matrix matrix(i,j) /= diag(j) More...
 
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. More...
 
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. More...
 
TMatrixT< Element > & operator= (const TMatrixT< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (const TMatrixTSym< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (const TMatrixTSparse< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (const TMatrixTLazy< Element > &source)
 Assignment operator. More...
 
template<class Element2 >
TMatrixT< Element > & operator= (const TMatrixT< Element2 > &source)
 
TMatrixT< Element > & operator= (Element val)
 Assign val to every element of the matrix. More...
 
const TMatrixTRow_const< Element > operator[] (Int_t rown) const
 
TMatrixTRow< Element > operator[] (Int_t rown)
 
void Plus (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
 General matrix summation. Create a matrix C such that C = A + B. More...
 
void Plus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
 General matrix summation. Create a matrix C such that C = A + B. More...
 
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. More...
 
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. More...
 
virtual TMatrixTBase< Element > & ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1)
 Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...
 
virtual TMatrixTBase< Element > & ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1)
 Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More...
 
TMatrixTBase< Element > & ResizeTo (const TMatrixT< Element > &m)
 
virtual TMatrixTBase< Element > & SetColIndexArray (Int_t *)
 
virtual TMatrixTBase< Element > & SetRowIndexArray (Int_t *)
 
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][col_lwb..col_lwb+ncols_source];. More...
 
Element Similarity (const TVectorT< Element > &v) const
 Calculate scalar v * (*this) * v^T. More...
 
TMatrixT< Element > & T ()
 
void TMult (const TMatrixT< Element > &a, const TMatrixT< Element > &b)
 Create a matrix C such that C = A' * B. More...
 
void TMult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b)
 Create a matrix C such that C = A' * B. More...
 
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. More...
 
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]) More...
 
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 nrows, Int_t ncols, Element *data)
 
const TMatrixT< Element > & Use (Int_t nrows, Int_t ncols, const Element *data) const
 
TMatrixT< Element > & Use (TMatrixT< Element > &a)
 
const TMatrixT< Element > & Use (const TMatrixT< Element > &a) const
 
- Public Member Functions inherited from TMatrixTBase< Element >
 TMatrixTBase ()
 
virtual ~TMatrixTBase ()
 
virtual TMatrixTBase< Element > & Abs ()
 Take an absolute value of a matrix, i.e. apply Abs() to each element. More...
 
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...
 
template<>
TClassClass ()
 
virtual Element ColNorm () const
 Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}. More...
 
void Draw (Option_t *option="")
 Draw this matrix The histogram is named "TMatrixT" by default and no title. More...
 
virtual Element E2Norm () const
 Square of the Euclidian norm, SUM{ m(i,j)^2 }. More...
 
virtual void ExtractRow (Int_t row, Int_t col, Element *v, Int_t n=-1) const
 Store in array v, n matrix elements of row rown starting at column coln. More...
 
Int_t GetColLwb () const
 
Int_t GetColUpb () const
 
virtual void GetMatrix2Array (Element *data, Option_t *option="") const
 Copy matrix data to array . More...
 
Int_t GetNcols () const
 
Int_t GetNoElements () const
 
Int_t GetNrows () const
 
Int_t GetRowLwb () const
 
Int_t GetRowUpb () const
 
Element GetTol () const
 
virtual TMatrixTBase< Element > & InsertRow (Int_t row, Int_t col, const Element *v, Int_t n=-1)
 Copy n elements from array v to row rown starting at column coln. More...
 
void Invalidate ()
 
Bool_t IsOwner () const
 
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...
 
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 Element RowNorm () const
 Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}. More...
 
virtual TMatrixTBase< Element > & SetMatrixArray (const Element *data, Option_t *option="")
 Copy array data to matrix . More...
 
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 TObjectClone (const char *newname="") const
 Make a clone of an object using the Streamer facility. More...
 
virtual Int_t Compare (const TObject *obj) const
 Compare abstract method. More...
 
virtual void Copy (TObject &object) const
 Copy this to obj. More...
 
virtual void Delete (Option_t *option="")
 Delete this object. More...
 
virtual Int_t DistancetoPrimitive (Int_t px, Int_t py)
 Computes distance from point (px,py) to the object. More...
 
virtual void DrawClass () const
 Draw class inheritance tree of the class to which this object belongs. More...
 
virtual TObjectDrawClone (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 TObjectFindObject (const char *name) const
 Must be redefined in derived classes. More...
 
virtual TObjectFindObject (const TObject *obj) const
 Must be redefined in derived classes. More...
 
virtual Option_tGetDrawOption () 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_tGetOption () 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...
 
voidoperator new (size_t sz)
 
voidoperator new (size_t sz, void *vp)
 
voidoperator new[] (size_t sz)
 
voidoperator new[] (size_t sz, void *vp)
 
TObjectoperator= (const TObject &rhs)
 TObject assignment operator. More...
 
virtual void Paint (Option_t *option="")
 This method must be overridden if a class wants to paint itself. More...
 
virtual void Pop ()
 Pop on object drawn in a pad to the top of the display list. More...
 
virtual Int_t Read (const char *name)
 Read contents of object with specified name from the current directory. More...
 
virtual void RecursiveRemove (TObject *obj)
 Recursively remove this object from a list. More...
 
void ResetBit (UInt_t f)
 
virtual void SaveAs (const char *filename="", Option_t *option="") const
 Save this object in the file specified by filename. More...
 
virtual void SavePrimitive (std::ostream &out, Option_t *option="")
 Save a primitive as a C++ statement(s) on output stream "out". More...
 
void SetBit (UInt_t f, Bool_t set)
 Set or unset the user status bits as specified in f. More...
 
void SetBit (UInt_t f)
 
virtual void SetDrawOption (Option_t *option="")
 Set drawing option for object. More...
 
virtual void SetUniqueID (UInt_t uid)
 Set the unique object id. More...
 
virtual void SysError (const char *method, const char *msgfmt,...) const
 Issue system error message. More...
 
R__ALWAYS_INLINE Bool_t TestBit (UInt_t f) const
 
Int_t TestBits (UInt_t f) const
 
virtual void UseCurrentStyle ()
 Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More...
 
virtual void Warning (const char *method, const char *msgfmt,...) const
 Issue warning message. More...
 
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0)
 Write this object to the current directory. More...
 
virtual Int_t Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const
 Write this object to the current directory. More...
 

Protected Member Functions

void Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0, Int_t init=0, Int_t=-1)
 Allocate new matrix. More...
 
void Delete_m (Int_t size, Element *&)
 Delete data pointer m, if it was assigned on the heap. More...
 
Int_t Memcpy_m (Element *newp, const Element *oldp, Int_t copySize, Int_t newSize, Int_t oldSize)
 Copy copySize doubles from *oldp to *newp . More...
 
Element * New_m (Int_t size)
 Return data pointer . More...
 
- Protected Member Functions inherited from TObject
virtual void DoError (int level, const char *location, const char *fmt, va_list va) const
 Interface to ErrorHandler (protected). More...
 
void MakeZombie ()
 

Protected Attributes

Element fDataStack [TMatrixTBase< Element >::kSizeMax]
 
Element * fElements
 data container More...
 
- Protected Attributes inherited from TMatrixTBase< Element >
Int_t fColLwb
 
Bool_t fIsOwner
 
Int_t fNcols
 
Int_t fNelems
 
Int_t fNrowIndex
 
Int_t fNrows
 
Int_t fRowLwb
 
Element fTol
 

Additional Inherited Members

- Static Public Member Functions inherited from TMatrixTBase< Element >
static Element & NaNValue ()
 
- Static Public Member Functions inherited from TObject
static Long_t GetDtorOnly ()
 Return destructor only flag. More...
 
static Bool_t GetObjectStat ()
 Get status of object stat flag. More...
 
static void SetDtorOnly (void *obj)
 Set destructor only flag. More...
 
static void SetObjectStat (Bool_t stat)
 Turn on/off tracking of objects in the TObjectTable. More...
 
- Protected Types inherited from TMatrixTBase< Element >
enum  { kSizeMax = 25 }
 
enum  { kWorkMax = 100 }
 
enum  EMatrixStatusBits { kStatus = BIT(14) }
 
- Static Protected Member Functions inherited from TMatrixTBase< Element >
static void DoubleLexSort (Int_t n, Int_t *first, Int_t *second, Element *data)
 default kTRUE, when Use array kFALSE More...
 
static void IndexedLexSort (Int_t n, Int_t *first, Int_t swapFirst, Int_t *second, Int_t swapSecond, Int_t *index)
 Lexical sort on array data using indices first and second. More...
 

#include <TMatrixDfwd.h>

Inheritance diagram for TMatrixT< Element >:
[legend]

Member Enumeration Documentation

◆ anonymous enum

template<class Element>
anonymous enum
Enumerator
kWorkMax 

Definition at line 57 of file TMatrixT.h.

◆ EMatrixCreatorsOp1

template<class Element>
enum TMatrixT::EMatrixCreatorsOp1
Enumerator
kZero 
kUnit 
kTransposed 
kInverted 
kAtA 

Definition at line 58 of file TMatrixT.h.

◆ EMatrixCreatorsOp2

template<class Element>
enum TMatrixT::EMatrixCreatorsOp2
Enumerator
kMult 
kTransposeMult 
kInvMult 
kMultTranspose 
kPlus 
kMinus 

Definition at line 59 of file TMatrixT.h.

Constructor & Destructor Documentation

◆ TMatrixT() [1/15]

template<class Element>
TMatrixT< Element >::TMatrixT ( )
inline

Definition at line 61 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 42 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 51 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 65 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 75 of file TMatrixT.cxx.

◆ TMatrixT() [6/15]

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

Copy constructor.

Definition at line 86 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 97 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 108 of file TMatrixT.cxx.

◆ TMatrixT() [9/15]

template<class Element>
template<class Element2 >
TMatrixT< Element >::TMatrixT ( const TMatrixT< Element2 > &  another)
inline

Definition at line 69 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 121 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)

Definition at line 172 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 229 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)

Definition at line 286 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 398 of file TMatrixT.cxx.

◆ ~TMatrixT()

template<class Element>
virtual TMatrixT< Element >::~TMatrixT ( )
inlinevirtual

Definition at line 83 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 469 of file TMatrixT.cxx.

◆ Class()

template<>
TClass * TMatrixT< double >::Class ( )

◆ Clear()

template<class Element>
virtual void TMatrixT< Element >::Clear ( Option_t = "")
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 120 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 410 of file TMatrixT.cxx.

◆ Determinant() [1/2]

template<class Element >
Double_t TMatrixT< Element >::Determinant ( ) const
virtual

Return the matrix determinant.

Reimplemented from TMatrixTBase< Element >.

Definition at line 1364 of file TMatrixT.cxx.

◆ Determinant() [2/2]

template<class Element >
void TMatrixT< Element >::Determinant ( Double_t d1,
Double_t d2 
) const
virtual

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

Reimplemented from TMatrixTBase< Element >.

Definition at line 1377 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 2310 of file TMatrixT.cxx.

◆ GetColIndexArray() [1/2]

template<class Element>
virtual const Int_t* TMatrixT< Element >::GetColIndexArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 114 of file TMatrixT.h.

◆ GetColIndexArray() [2/2]

template<class Element>
virtual Int_t* TMatrixT< Element >::GetColIndexArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 115 of file TMatrixT.h.

◆ GetMatrixArray() [1/2]

template<class Element >
const Element * TMatrixT< Element >::GetMatrixArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 222 of file TMatrixT.h.

◆ GetMatrixArray() [2/2]

template<class Element >
Element * TMatrixT< Element >::GetMatrixArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 223 of file TMatrixT.h.

◆ GetRowIndexArray() [1/2]

template<class Element>
virtual const Int_t* TMatrixT< Element >::GetRowIndexArray ( ) const
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 112 of file TMatrixT.h.

◆ GetRowIndexArray() [2/2]

template<class Element>
virtual Int_t* TMatrixT< Element >::GetRowIndexArray ( )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 113 of file TMatrixT.h.

◆ GetSub() [1/2]

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
virtual

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 1092 of file TMatrixT.cxx.

◆ GetSub() [2/2]

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 242 of file TMatrixT.h.

◆ Invert()

template<class Element >
TMatrixT< Element > & TMatrixT< Element >::Invert ( Double_t det = 0)

Invert the matrix and calculate its determinant.

Definition at line 1399 of file TMatrixT.cxx.

◆ InvertFast()

template<class Element >
TMatrixT< Element > & TMatrixT< Element >::InvertFast ( Double_t det = 0)

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

Definition at line 1413 of file TMatrixT.cxx.

◆ 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 442 of file TMatrixT.cxx.

◆ Minus() [1/3]

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

General matrix summation. Create a matrix C such that C = A - B.

Definition at line 583 of file TMatrixT.cxx.

◆ Minus() [2/3]

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

General matrix summation. Create a matrix C such that C = A - B.

Definition at line 617 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 93 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. Create a matrix C such that C = A * B.

Definition at line 651 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.

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

Definition at line 752 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.

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

Definition at line 700 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) Create a matrix C such that C = A * B.

Definition at line 804 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. Create a matrix C such that C = A * B^T.

Definition at line 954 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 106 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.

Create a matrix C such that C = A * B^T.

Definition at line 1006 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 108 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 424 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 1645 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 1692 of file TMatrixT.cxx.

◆ operator()() [1/2]

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

Implements TMatrixTBase< Element >.

Definition at line 250 of file TMatrixT.h.

◆ operator()() [2/2]

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

Implements TMatrixTBase< Element >.

Definition at line 267 of file TMatrixT.h.

◆ operator*=() [1/6]

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

Multiply every element of the matrix with val.

Definition at line 1877 of file TMatrixT.cxx.

◆ operator*=() [2/6]

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 1975 of file TMatrixT.cxx.

◆ operator*=() [3/6]

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 2038 of file TMatrixT.cxx.

◆ operator*=() [4/6]

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 2100 of file TMatrixT.cxx.

◆ operator*=() [5/6]

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 2237 of file TMatrixT.cxx.

◆ operator*=() [6/6]

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 2165 of file TMatrixT.cxx.

◆ operator+=() [1/3]

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

Add val to every element of the matrix.

Definition at line 1845 of file TMatrixT.cxx.

◆ operator+=() [2/3]

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

Add the source matrix.

Definition at line 1893 of file TMatrixT.cxx.

◆ operator+=() [3/3]

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

Add the source matrix.

Definition at line 1913 of file TMatrixT.cxx.

◆ operator-=() [1/3]

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

Subtract val from every element of the matrix.

Definition at line 1861 of file TMatrixT.cxx.

◆ operator-=() [2/3]

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

Subtract the source matrix.

Definition at line 1933 of file TMatrixT.cxx.

◆ operator-=() [3/3]

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

Subtract the source matrix.

Definition at line 1953 of file TMatrixT.cxx.

◆ operator/=() [1/3]

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 2130 of file TMatrixT.cxx.

◆ operator/=() [2/3]

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 2271 of file TMatrixT.cxx.

◆ operator/=() [3/3]

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 2198 of file TMatrixT.cxx.

◆ operator=() [1/6]

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

Assignment operator.

Definition at line 1735 of file TMatrixT.cxx.

◆ operator=() [2/6]

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

Assignment operator.

Definition at line 1754 of file TMatrixT.cxx.

◆ operator=() [3/6]

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

Assignment operator.

Definition at line 1773 of file TMatrixT.cxx.

◆ operator=() [4/6]

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

Assignment operator.

Definition at line 1808 of file TMatrixT.cxx.

◆ operator=() [5/6]

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

Definition at line 170 of file TMatrixT.h.

◆ operator=() [6/6]

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

Assign val to every element of the matrix.

Definition at line 1829 of file TMatrixT.cxx.

◆ operator[]() [1/2]

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

Definition at line 163 of file TMatrixT.h.

◆ operator[]() [2/2]

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

Definition at line 164 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. Create a matrix C such that C = A + B.

Definition at line 515 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. Create a matrix C such that C = A + B.

Definition at line 549 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 89 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 1542 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 1570 of file TMatrixT.cxx.

◆ ResizeTo() [1/3]

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

Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 1213 of file TMatrixT.cxx.

◆ ResizeTo() [2/3]

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 
)
virtual

Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.

Implements TMatrixTBase< Element >.

Definition at line 1278 of file TMatrixT.cxx.

◆ ResizeTo() [3/3]

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

Definition at line 140 of file TMatrixT.h.

◆ SetColIndexArray()

template<class Element>
virtual TMatrixTBase<Element>& TMatrixT< Element >::SetColIndexArray ( Int_t )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 118 of file TMatrixT.h.

◆ SetRowIndexArray()

template<class Element>
virtual TMatrixTBase<Element>& TMatrixT< Element >::SetRowIndexArray ( Int_t )
inlinevirtual

Implements TMatrixTBase< Element >.

Definition at line 117 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 
)
virtual

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 1159 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 1604 of file TMatrixT.cxx.

◆ T()

template<class Element>
TMatrixT<Element>& TMatrixT< Element >::T ( )
inline

Definition at line 150 of file TMatrixT.h.

◆ TMult() [1/4]

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

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

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

Definition at line 855 of file TMatrixT.cxx.

◆ TMult() [2/4]

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

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

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

Definition at line 905 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 102 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 103 of file TMatrixT.h.

◆ Transpose()

template<class Element>
TMatrixT< Element > & TMatrixT< Element >::Transpose ( const TMatrixT< Element > &  source)

Transpose matrix source.

Definition at line 1472 of file TMatrixT.cxx.

◆ Use() [1/6]

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 1056 of file TMatrixT.cxx.

◆ Use() [2/6]

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 125 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 225 of file TMatrixT.h.

◆ Use() [4/6]

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

Definition at line 227 of file TMatrixT.h.

◆ Use() [5/6]

template<class Element>
TMatrixT< Element > & TMatrixT< Element >::Use ( TMatrixT< Element > &  a)
inline

Definition at line 229 of file TMatrixT.h.

◆ Use() [6/6]

template<class Element>
const TMatrixT< Element > & TMatrixT< Element >::Use ( const TMatrixT< Element > &  a) const
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 43 of file TMatrixT.h.

◆ fElements

template<class Element>
Element* TMatrixT< Element >::fElements
protected

data container

Definition at line 44 of file TMatrixT.h.


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