Logo ROOT  
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 39 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 Member Functions

 TMatrixT ()
 
 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 TMatrixT< Element > &another)
 Copy constructor. More...
 
template<class Element2 >
 TMatrixT (const TMatrixT< Element2 > &another)
 
 TMatrixT (const TMatrixTLazy< Element > &lazy_constructor)
 Constructor using the TMatrixTLazy class. More...
 
 TMatrixT (const TMatrixTSparse< Element > &another)
 Copy constructor of a sparse matrix. 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 TMatrixTSym< Element > &another)
 Copy constructor of a symmetric matrix. More...
 
 TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype)
 Constructor of matrix applying a specific operation to the prototype. More...
 
 TMatrixT (Int_t nrows, Int_t ncols)
 Constructor for (nrows x ncols) 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)
 Constructor for ([row_lwb..row_upb] x [col_lwb..col_upb]) matrix. 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...
 
virtual ~TMatrixT ()
 
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 Int_tGetColIndexArray ()
 
virtual const Int_tGetColIndexArray () const
 
virtual Element * GetMatrixArray ()
 
virtual const Element * GetMatrixArray () const
 
virtual Int_tGetRowIndexArray ()
 
virtual const Int_tGetRowIndexArray () const
 
TMatrixT< Element > GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const
 
virtual TMatrixTBase< Element > & GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, TMatrixTBase< Element > &target, Option_t *option="S") const
 Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More...
 
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)
 
Element operator() (Int_t rown, Int_t coln) const
 
TMatrixT< Element > & operator*= (const TMatrixT< Element > &source)
 Compute target = target * source inplace. 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*= (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 TMatrixTSym< Element > &source)
 Compute target = target * source inplace. More...
 
TMatrixT< Element > & operator*= (Element val)
 Multiply every element of the matrix with val. 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)
 Add val to 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-= (Element val)
 Subtract val from every element of the matrix. 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 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 TMatrixT< Element > &source)
 Assignment operator. More...
 
template<class Element2 >
TMatrixT< Element > & operator= (const TMatrixT< Element2 > &source)
 
TMatrixT< Element > & operator= (const TMatrixTLazy< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (const TMatrixTSparse< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (const TMatrixTSym< Element > &source)
 Assignment operator. More...
 
TMatrixT< Element > & operator= (Element val)
 Assign val to every element of the matrix. More...
 
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. 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...
 
TMatrixTBase< Element > & ResizeTo (const TMatrixT< Element > &m)
 
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...
 
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...
 
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]) More...
 
TMatrixT< Element > & Use (TMatrixT< Element > &a)
 

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 Attributes

Element fDataStack [TMatrixTBase< Element >::kSizeMax]
 
Element * fElements
 data container More...
 

#include <TMatrixT.h>

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 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 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 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)

Definition at line 170 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)

Definition at line 284 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 341 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 396 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 467 of file TMatrixT.cxx.

◆ Class()

TClass * TMatrixT< double >::Class ( )

◆ Clear()

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

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 408 of file TMatrixT.cxx.

◆ Determinant() [1/2]

template<class Element >
Double_t TMatrixT< Element >::Determinant
virtual

Return the matrix determinant.

Definition at line 1362 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)

Definition at line 1375 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 2308 of file TMatrixT.cxx.

◆ GetColIndexArray() [1/2]

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

Definition at line 115 of file TMatrixT.h.

◆ GetColIndexArray() [2/2]

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

Definition at line 114 of file TMatrixT.h.

◆ GetMatrixArray() [1/2]

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

Definition at line 223 of file TMatrixT.h.

◆ GetMatrixArray() [2/2]

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

Definition at line 222 of file TMatrixT.h.

◆ GetRowIndexArray() [1/2]

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

Definition at line 113 of file TMatrixT.h.

◆ GetRowIndexArray() [2/2]

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

Definition at line 112 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 242 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
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]

Definition at line 1090 of file TMatrixT.cxx.

◆ Invert()

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

Invert the matrix and calculate its determinant.

Definition at line 1397 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 1411 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 440 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 581 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 615 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 649 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 750 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 698 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 802 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 952 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 1004 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 422 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 1643 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 1690 of file TMatrixT.cxx.

◆ operator()() [1/2]

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

Definition at line 267 of file TMatrixT.h.

◆ operator()() [2/2]

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

Definition at line 250 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 1973 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 2163 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 2098 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 2235 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 2036 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 1875 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 1891 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 1911 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 1843 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 1931 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 1951 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 1859 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 2196 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 2128 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 2269 of file TMatrixT.cxx.

◆ operator=() [1/6]

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

Assignment operator.

Definition at line 1733 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 170 of file TMatrixT.h.

◆ operator=() [3/6]

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

Assignment operator.

Definition at line 1806 of file TMatrixT.cxx.

◆ operator=() [4/6]

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

Assignment operator.

Definition at line 1771 of file TMatrixT.cxx.

◆ operator=() [5/6]

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

Assignment operator.

Definition at line 1752 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 1827 of file TMatrixT.cxx.

◆ operator[]() [1/2]

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

Definition at line 164 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 163 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 513 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 547 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 1540 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 1568 of file TMatrixT.cxx.

◆ ResizeTo() [1/3]

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

Definition at line 140 of file TMatrixT.h.

◆ ResizeTo() [2/3]

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.

Definition at line 1211 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 
)
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.

Definition at line 1276 of file TMatrixT.cxx.

◆ SetColIndexArray()

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

Definition at line 118 of file TMatrixT.h.

◆ SetRowIndexArray()

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

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];.

Definition at line 1157 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 1602 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 853 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 903 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 1470 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 235 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 227 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  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() [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 1054 of file TMatrixT.cxx.

◆ Use() [6/6]

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

Definition at line 229 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: