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 Member Functions
	TMatrixT ()

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

template<class Element >
	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)

template<class Element >
	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)

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

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

	TMatrixT (const TMatrixTLazy< Element > &lazy_constructor)

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

	TMatrixT (const TMatrixTSparse< Element > &another)

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

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

template<class Element >
	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)

template<class Element >
	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)

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

	TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype)

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

template<class 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_rowsj], else it is supposed that array elements are stored row-wise a[i,j] = elements[ino_cols+j] More...

template<class Element >
	TMatrixT (Int_t nrows, Int_t ncols)
	Constructor for (nrows x ncols) matrix. More...

	TMatrixT (Int_t nrows, Int_t ncols)

	TMatrixT (Int_t nrows, Int_t ncols, const Element data, Option_t option="")

template<class 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. More...

	TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb)

	TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element data, Option_t option="")

template<class Element >
	TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element elements, Option_t option)
	array elements are copied More...

virtual	~TMatrixT ()

TClass *	Class ()

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_t *	GetColIndexArray ()

virtual const Int_t *	GetColIndexArray () const

virtual Element *	GetMatrixArray ()

virtual const Element *	GetMatrixArray () const

virtual Int_t *	GetRowIndexArray ()

virtual const Int_t *	GetRowIndexArray () 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

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)

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

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

template<class Element >
TMatrixT< Element > &	operator= (const TMatrixTLazy< Element > &lazy_constructor)
	Assignment operator. More...

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

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

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

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

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

TMatrixT< Element > &	operator= (Element val)

template<class Element >
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)

TMatrixT< Element > &	Rank1Update (const TVectorT< Element > &v1, const TVectorT< Element > &v2, Element alpha=1.0)

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

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

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

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 <TMatrixDfwd.h>

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
kWorkMax

Definition at line 57 of file TMatrixT.h.

◆ EMatrixCreatorsOp1

enum TMatrixT::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kInverted
kAtA

Definition at line 58 of file TMatrixT.h.

◆ EMatrixCreatorsOp2

enum TMatrixT::EMatrixCreatorsOp2

Enumerator
kMult
kTransposeMult
kInvMult
kMultTranspose
kPlus
kMinus

Definition at line 59 of file TMatrixT.h.

Constructor & Destructor Documentation

◆ TMatrixT() [1/28]

TMatrixT::TMatrixT ( )

inline

Definition at line 61 of file TMatrixT.h.

◆ TMatrixT() [2/28]

TMatrixT::TMatrixT	(	Int_t	nrows,
		Int_t	ncols
	)

◆ TMatrixT() [3/28]

TMatrixT::TMatrixT	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb
	)

◆ TMatrixT() [4/28]

TMatrixT::TMatrixT	(	Int_t	nrows,
		Int_t	ncols,
		const Element *	data,
		Option_t *	option = `""`
	)

◆ TMatrixT() [5/28]

TMatrixT::TMatrixT	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		const Element *	data,
		Option_t *	option = `""`
	)

◆ TMatrixT() [6/28]

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

◆ TMatrixT() [7/28]

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

◆ TMatrixT() [8/28]

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

◆ TMatrixT() [9/28]

template<class Element2 >

TMatrixT::TMatrixT ( const TMatrixT< Element2 > & another )

inline

Definition at line 69 of file TMatrixT.h.

◆ TMatrixT() [10/28]

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

◆ TMatrixT() [11/28]

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

◆ TMatrixT() [12/28]

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

◆ TMatrixT() [13/28]

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

◆ TMatrixT() [14/28]

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

◆ TMatrixT() [15/28]

TMatrixT::TMatrixT ( const TMatrixTLazy< Element > & lazy_constructor )

◆ ~TMatrixT()

virtual TMatrixT::~TMatrixT ( )

inlinevirtual

Definition at line 83 of file TMatrixT.h.

◆ TMatrixT() [16/28]

template<class Element >

TMatrixT::TMatrixT	(	Int_t	nrows,
		Int_t	ncols
	)

Constructor for (nrows x ncols) matrix.

Definition at line 40 of file TMatrixT.cxx.

◆ TMatrixT() [17/28]

template<class Element >

TMatrixT::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() [18/28]

template<class Element >

TMatrixT::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() [19/28]

template<class Element >

TMatrixT::TMatrixT	(	Int_t	row_lwb,
		Int_t	row_upb,
		Int_t	col_lwb,
		Int_t	col_upb,
		const Element *	elements,
		Option_t *	option
	)

array elements are copied

Definition at line 73 of file TMatrixT.cxx.

◆ TMatrixT() [20/28]

template<class Element >

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

Copy constructor.

Definition at line 84 of file TMatrixT.cxx.

◆ TMatrixT() [21/28]

template<class Element >

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

Copy constructor of a symmetric matrix.

Definition at line 95 of file TMatrixT.cxx.

◆ TMatrixT() [22/28]

template<class Element >

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

Copy constructor of a sparse matrix.

Definition at line 106 of file TMatrixT.cxx.

◆ TMatrixT() [23/28]

template<class Element >

TMatrixT::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() [24/28]

template<class Element >

TMatrixT::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() [25/28]

template<class Element >

TMatrixT::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() [26/28]

template<class Element >

TMatrixT::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() [27/28]

template<class Element >

TMatrixT::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() [28/28]

template<class Element >

TMatrixT::TMatrixT ( const TMatrixTLazy< Element > & lazy_constructor )

Constructor using the TMatrixTLazy class.

Definition at line 396 of file TMatrixT.cxx.

Member Function Documentation

◆ Allocate()

void TMatrixT::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()

virtual void TMatrixT::Clear ( Option_t * = "" )

inlinevirtual

Definition at line 120 of file TMatrixT.h.

◆ Delete_m()

void TMatrixT::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]

Double_t TMatrixT::Determinant ( ) const

virtual

Return the matrix determinant.

Definition at line 1362 of file TMatrixT.cxx.

◆ Determinant() [2/2]

void TMatrixT::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()

const TMatrixT< Element > TMatrixT::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]

virtual Int_t* TMatrixT::GetColIndexArray ( )

inlinevirtual

Definition at line 115 of file TMatrixT.h.

◆ GetColIndexArray() [2/2]

virtual const Int_t* TMatrixT::GetColIndexArray ( ) const

inlinevirtual

Definition at line 114 of file TMatrixT.h.

◆ GetMatrixArray() [1/2]

Element * TMatrixT::GetMatrixArray ( )

inlinevirtual

Definition at line 223 of file TMatrixT.h.

◆ GetMatrixArray() [2/2]

const Element * TMatrixT::GetMatrixArray ( ) const

inlinevirtual

Definition at line 222 of file TMatrixT.h.

◆ GetRowIndexArray() [1/2]

virtual Int_t* TMatrixT::GetRowIndexArray ( )

inlinevirtual

Definition at line 113 of file TMatrixT.h.

◆ GetRowIndexArray() [2/2]

virtual const Int_t* TMatrixT::GetRowIndexArray ( ) const

inlinevirtual

Definition at line 112 of file TMatrixT.h.

◆ GetSub() [1/2]

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

◆ GetSub() [2/2]

virtual TMatrixTBase<Element>& TMatrixT::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

◆ Invert()

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

Invert the matrix and calculate its determinant.

Definition at line 1397 of file TMatrixT.cxx.

◆ InvertFast()

TMatrixT< Element > & TMatrixT::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()

Int_t TMatrixT::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]

void TMatrixT::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]

void TMatrixT::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]

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

inline

Definition at line 93 of file TMatrixT.h.

◆ Mult() [1/4]

void TMatrixT::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]

void TMatrixT::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]

void TMatrixT::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]

void TMatrixT::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]

void TMatrixT::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]

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

inline

Definition at line 106 of file TMatrixT.h.

◆ MultT() [3/4]

void TMatrixT::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]

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

inline

Definition at line 108 of file TMatrixT.h.

◆ New_m()

Element * TMatrixT::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()

TMatrixT< Element > & TMatrixT::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()

TMatrixT< Element > & TMatrixT::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]

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

inline

Definition at line 267 of file TMatrixT.h.

◆ operator()() [2/2]

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

inline

Definition at line 250 of file TMatrixT.h.

◆ operator*=() [1/6]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

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

Multiply every element of the matrix with val.

Definition at line 1875 of file TMatrixT.cxx.

◆ operator+=() [1/3]

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

Add the source matrix.

Definition at line 1891 of file TMatrixT.cxx.

◆ operator+=() [2/3]

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

Add the source matrix.

Definition at line 1911 of file TMatrixT.cxx.

◆ operator+=() [3/3]

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

Add val to every element of the matrix.

Definition at line 1843 of file TMatrixT.cxx.

◆ operator-=() [1/3]

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

Subtract the source matrix.

Definition at line 1931 of file TMatrixT.cxx.

◆ operator-=() [2/3]

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

Subtract the source matrix.

Definition at line 1951 of file TMatrixT.cxx.

◆ operator-=() [3/3]

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

Subtract val from every element of the matrix.

Definition at line 1859 of file TMatrixT.cxx.

◆ operator/=() [1/3]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

TMatrixT< Element > & TMatrixT::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=() [1/11]

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

◆ operator=() [2/11]

template<class Element >

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

Assignment operator.

Definition at line 1733 of file TMatrixT.cxx.

◆ operator=() [3/11]

template<class Element2 >

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

inline

Definition at line 170 of file TMatrixT.h.

◆ operator=() [4/11]

template<class Element >

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

Assignment operator.

Definition at line 1806 of file TMatrixT.cxx.

◆ operator=() [5/11]

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

◆ operator=() [6/11]

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

◆ operator=() [7/11]

template<class Element >

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

Assignment operator.

Definition at line 1771 of file TMatrixT.cxx.

◆ operator=() [8/11]

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

◆ operator=() [9/11]

template<class Element >

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

Assignment operator.

Definition at line 1752 of file TMatrixT.cxx.

◆ operator=() [10/11]

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

◆ operator=() [11/11]

template<class Element >

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

Assign val to every element of the matrix.

Definition at line 1827 of file TMatrixT.cxx.

◆ operator[]() [1/2]

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

inline

Definition at line 164 of file TMatrixT.h.

◆ operator[]() [2/2]

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

inline

Definition at line 163 of file TMatrixT.h.

◆ Plus() [1/3]

void TMatrixT::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]

void TMatrixT::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]

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

inline

Definition at line 89 of file TMatrixT.h.

◆ Rank1Update() [1/2]

TMatrixT<Element>& TMatrixT::Rank1Update	(	const TVectorT< Element > &	v,
		Element	alpha = `1.0`
	)

◆ Rank1Update() [2/2]

TMatrixT<Element>& TMatrixT::Rank1Update	(	const TVectorT< Element > &	v1,
		const TVectorT< Element > &	v2,
		Element	alpha = `1.0`
	)

◆ ResizeTo() [1/3]

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

inline

Definition at line 140 of file TMatrixT.h.

◆ ResizeTo() [2/3]

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

virtual

◆ ResizeTo() [3/3]

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

virtual

◆ SetColIndexArray()

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

inlinevirtual

Definition at line 118 of file TMatrixT.h.

◆ SetRowIndexArray()

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

inlinevirtual

Definition at line 117 of file TMatrixT.h.

◆ SetSub()

TMatrixTBase< Element > & TMatrixT::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()

Element TMatrixT::Similarity ( const TVectorT< Element > & v ) const

Calculate scalar v * (*this) * v^T.

Definition at line 1602 of file TMatrixT.cxx.

◆ T()

TMatrixT<Element>& TMatrixT::T ( )

inline

Definition at line 150 of file TMatrixT.h.

◆ TMult() [1/4]

void TMatrixT::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]

void TMatrixT::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]

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

inline

Definition at line 102 of file TMatrixT.h.

◆ TMult() [4/4]

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

inline

Definition at line 103 of file TMatrixT.h.

◆ Transpose()

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

Transpose matrix source.

Definition at line 1470 of file TMatrixT.cxx.

◆ Use() [1/6]

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

◆ Use() [2/6]

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

inline

Definition at line 227 of file TMatrixT.h.

◆ Use() [3/6]

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

inline

Definition at line 225 of file TMatrixT.h.

◆ Use() [4/6]

const TMatrixT<Element>& TMatrixT::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]

TMatrixT< Element > & TMatrixT::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]

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

Member Data Documentation

◆ fDataStack

Element TMatrixT::fDataStack[TMatrixTBase< Element >::kSizeMax]

protected

Definition at line 43 of file TMatrixT.h.

◆ fElements

Element* TMatrixT::fElements

protected

data container

Definition at line 44 of file TMatrixT.h.

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

math/matrix/inc/TMatrixDfwd.h
math/matrix/inc/TMatrixT.h
math/matrix/src/TMatrixT.cxx

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Member Enumeration Documentation

◆ anonymous enum

◆ EMatrixCreatorsOp1

◆ EMatrixCreatorsOp2

Constructor & Destructor Documentation

◆ TMatrixT() [1/28]

◆ TMatrixT() [2/28]

◆ TMatrixT() [3/28]

◆ TMatrixT() [4/28]

◆ TMatrixT() [5/28]

◆ TMatrixT() [6/28]

◆ TMatrixT() [7/28]

◆ TMatrixT() [8/28]

◆ TMatrixT() [9/28]

◆ TMatrixT() [10/28]

◆ TMatrixT() [11/28]

◆ TMatrixT() [12/28]

◆ TMatrixT() [13/28]

◆ TMatrixT() [14/28]

◆ TMatrixT() [15/28]

◆ ~TMatrixT()

◆ TMatrixT() [16/28]

◆ TMatrixT() [17/28]

◆ TMatrixT() [18/28]

◆ TMatrixT() [19/28]

◆ TMatrixT() [20/28]

◆ TMatrixT() [21/28]

◆ TMatrixT() [22/28]

◆ TMatrixT() [23/28]

◆ TMatrixT() [24/28]

◆ TMatrixT() [25/28]

◆ TMatrixT() [26/28]

◆ TMatrixT() [27/28]

◆ TMatrixT() [28/28]

Member Function Documentation

◆ Allocate()

◆ Class()

◆ Clear()

◆ Delete_m()

◆ Determinant() [1/2]

◆ Determinant() [2/2]

◆ EigenVectors()

◆ GetColIndexArray() [1/2]

◆ GetColIndexArray() [2/2]

◆ GetMatrixArray() [1/2]

◆ GetMatrixArray() [2/2]

◆ GetRowIndexArray() [1/2]

◆ GetRowIndexArray() [2/2]

◆ GetSub() [1/2]

◆ GetSub() [2/2]

◆ Invert()

◆ InvertFast()

◆ Memcpy_m()

◆ Minus() [1/3]

◆ Minus() [2/3]

◆ Minus() [3/3]

◆ Mult() [1/4]

◆ Mult() [2/4]

◆ Mult() [3/4]

◆ Mult() [4/4]

◆ MultT() [1/4]

◆ MultT() [2/4]

◆ MultT() [3/4]

◆ MultT() [4/4]

◆ New_m()

◆ NormByColumn()

◆ NormByRow()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=() [1/6]

◆ operator*=() [2/6]

◆ operator*=() [3/6]

◆ operator*=() [4/6]

◆ operator*=() [5/6]

◆ operator*=() [6/6]

◆ operator+=() [1/3]