Template class of a symmetric matrix in the linear algebra package.

See The ROOT Matrix Linear Algebra classes. for the documentation of the linear algebra package.

Note that in this implementation both matrix element m[i][j] and m[j][i] are updated and stored in memory . However, when making the object persistent only the upper right triangle is stored .

Definition at line 22 of file TMatrixDSymfwd.h.

Public Types
enum	{ kWorkMax = 100 }

enum	EMatrixCreatorsOp1 { kZero, kUnit, kTransposed, kInverted, kAtA }

enum	EMatrixCreatorsOp2 { kPlus, kMinus }

Public Member Functions
	TMatrixTSym ()

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

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

	TMatrixTSym (const TMatrixTSym< Element > &another)

template<class Element >
	TMatrixTSym (const TMatrixTSym< Element > &another)

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

	TMatrixTSym (const TMatrixTSymLazy< Element > &lazy_constructor)

template<class Element >
	TMatrixTSym (const TMatrixTSymLazy< Element > &lazy_constructor)

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

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

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

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

template<class Element >
	TMatrixTSym (Int_t no_rows)

template<class Element >
	TMatrixTSym (Int_t no_rows, const Element elements, Option_t option)
	option= More...

	TMatrixTSym (Int_t nrows)

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

template<class Element >
	TMatrixTSym (Int_t row_lwb, Int_t row_upb)

	TMatrixTSym (Int_t row_lwb, Int_t row_upb)

	TMatrixTSym (Int_t row_lwb, Int_t row_upb, const Element data, Option_t option="")

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

virtual	~TMatrixTSym ()

TMatrixTBase< Element > &	Apply (const TElementActionT< Element > &action)

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

TClass *	Class ()

virtual void	Clear (Option_t *="")

virtual Double_t	Determinant () const

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

const TMatrixT< Element >	EigenVectors (TVectorT< Element > &eigenValues) const
	Return a matrix containing the eigen-vectors ordered by descending 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

TMatrixTSym< 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

TMatrixTSym< Element > &	GetSub (Int_t row_lwb, Int_t row_upb, TMatrixTSym< Element > &target, Option_t *option="S") const

TMatrixTSym< Element > &	Invert (Double_t *det=0)
	Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU . More...

TMatrixTSym< Element > &	InvertFast (Double_t *det=0)
	Invert the matrix and calculate its determinant. More...

virtual Bool_t	IsSymmetric () const

void	Minus (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
	Symmetric matrix summation. Create a matrix C such that C = A + B. More...

void	Mult (const TMatrixTSym< Element > &a)

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

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

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

TMatrixTSym &	operator+= (const TMatrixTSym &source)

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

TMatrixTSym &	operator-= (const TMatrixTSym &source)

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

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

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

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

template<class Element >
TMatrixTSym< Element > &	operator= (const TMatrixTSymLazy< Element > &lazy_constructor)

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

TMatrixTSym< Element > &	operator= (Element val)

template<class Element >
TMatrixTSym< 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 TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b)
	Symmetric matrix summation. Create a matrix C such that C = A + B. More...

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

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

TMatrixTSym< Element > &	Rank1Update (const TVectorT< Element > &v, Element alpha=1.0)
	Perform a rank 1 operation on the matrix: A += alpha * v * v^T. More...

TMatrixTBase< Element > &	ResizeTo (const TMatrixTSym< 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 > &	SetMatrixArray (const Element data, Option_t option="")

virtual TMatrixTBase< Element > &	SetRowIndexArray (Int_t *)

TMatrixTSym< Element > &	SetSub (Int_t row_lwb, const TMatrixTBase< Element > &source)
	Insert matrix source starting at [row_lwb][row_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];. More...

virtual TMatrixTBase< Element > &	SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source)
	Insert matrix source starting at [row_lwb][col_lwb] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];. More...

virtual TMatrixTBase< Element > &	Shift (Int_t row_shift, Int_t col_shift)

TMatrixTSym< Element > &	Similarity (const TMatrixT< Element > &n)

TMatrixTSym< Element > &	Similarity (const TMatrixTSym< Element > &n)

Element	Similarity (const TVectorT< Element > &v) const
	Calculate scalar v * (this) v^T. More...

TMatrixTSym< Element > &	SimilarityT (const TMatrixT< Element > &n)
	Calculate B^T * (this) B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric . More...

TMatrixTSym< Element > &	T ()

void	TMult (const TMatrixT< Element > &a)
	Create a matrix C such that C = A' * A. More...

void	TMult (const TMatrixTSym< Element > &a)
	Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'. More...

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

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

const TMatrixTSym< Element > &	Use (Int_t nrows, const Element *data) const

TMatrixTSym< Element > &	Use (Int_t nrows, Element *data)

const TMatrixTSym< Element > &	Use (Int_t row_lwb, Int_t row_upb, const Element *data) const

TMatrixTSym< Element > &	Use (Int_t row_lwb, Int_t row_upb, Element *data)

TMatrixTSym< Element > &	Use (TMatrixTSym< 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 <TMatrixDSymfwd.h>

Member Enumeration Documentation

◆ anonymous enum

anonymous enum

Enumerator
kWorkMax

Definition at line 50 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp1

enum TMatrixTSym::EMatrixCreatorsOp1

Enumerator
kZero
kUnit
kTransposed
kInverted
kAtA

Definition at line 51 of file TMatrixTSym.h.

◆ EMatrixCreatorsOp2

enum TMatrixTSym::EMatrixCreatorsOp2

Enumerator
kPlus
kMinus

Definition at line 52 of file TMatrixTSym.h.

Constructor & Destructor Documentation

◆ TMatrixTSym() [1/20]

TMatrixTSym::TMatrixTSym ( )

inline

Definition at line 54 of file TMatrixTSym.h.

◆ TMatrixTSym() [2/20]

TMatrixTSym::TMatrixTSym ( Int_t nrows )

explicit

◆ TMatrixTSym() [3/20]

TMatrixTSym::TMatrixTSym	(	Int_t	row_lwb,
		Int_t	row_upb
	)

◆ TMatrixTSym() [4/20]

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

◆ TMatrixTSym() [5/20]

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

◆ TMatrixTSym() [6/20]

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

◆ TMatrixTSym() [7/20]

template<class Element2 >

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

inline

Definition at line 60 of file TMatrixTSym.h.

◆ TMatrixTSym() [8/20]

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

◆ TMatrixTSym() [9/20]

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

◆ TMatrixTSym() [10/20]

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

◆ TMatrixTSym() [11/20]

TMatrixTSym::TMatrixTSym ( const TMatrixTSymLazy< Element > & lazy_constructor )

◆ ~TMatrixTSym()

virtual TMatrixTSym::~TMatrixTSym ( )

inlinevirtual

Definition at line 72 of file TMatrixTSym.h.

◆ TMatrixTSym() [12/20]

template<class Element >

TMatrixTSym::TMatrixTSym ( Int_t no_rows )

Definition at line 41 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [13/20]

template<class Element >

TMatrixTSym::TMatrixTSym	(	Int_t	row_lwb,
		Int_t	row_upb
	)

Definition at line 49 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [14/20]

template<class Element >

TMatrixTSym::TMatrixTSym	(	Int_t	no_rows,
		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 TMatrixTSym.cxx.

◆ TMatrixTSym() [15/20]

template<class Element >

TMatrixTSym::TMatrixTSym	(	Int_t	row_lwb,
		Int_t	row_upb,
		const Element *	elements,
		Option_t *	option
	)

array elements are copied

Definition at line 78 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [16/20]

template<class Element >

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

Definition at line 91 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [17/20]

template<class Element >

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

Create a matrix applying a specific operation to the prototype.

Example: TMatrixTSym<Element> a(10,12); ...; TMatrixTSym<Element> b(TMatrixT::kTransposed, a); Supported operations are: kZero, kUnit, kTransposed, kInverted and kAtA.

Definition at line 104 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [18/20]

template<class Element >

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

Definition at line 153 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [19/20]

template<class Element >

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

Definition at line 172 of file TMatrixTSym.cxx.

◆ TMatrixTSym() [20/20]

template<class Element >

TMatrixTSym::TMatrixTSym ( const TMatrixTSymLazy< Element > & lazy_constructor )

Definition at line 200 of file TMatrixTSym.cxx.

Member Function Documentation

◆ Allocate()

void TMatrixTSym::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 274 of file TMatrixTSym.cxx.

◆ Apply() [1/2]

TMatrixTBase< Element > & TMatrixTSym::Apply ( const TElementActionT< Element > & action )

Definition at line 1553 of file TMatrixTSym.cxx.

◆ Apply() [2/2]

TMatrixTBase< Element > & TMatrixTSym::Apply ( const TElementPosActionT< Element > & action )

Apply action to each element of the matrix.

To action the location of the current element is passed.

Definition at line 1580 of file TMatrixTSym.cxx.

◆ Class()

TClass * TMatrixTSym< double >::Class ( )

◆ Clear()

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

inlinevirtual

Definition at line 92 of file TMatrixTSym.h.

◆ Delete_m()

void TMatrixTSym::Delete_m	(	Int_t	size,
		Element *&	m
	)

protected

delete data pointer m, if it was assigned on the heap

Definition at line 215 of file TMatrixTSym.cxx.

◆ Determinant() [1/2]

Double_t TMatrixTSym::Determinant ( ) const

virtual

Definition at line 935 of file TMatrixTSym.cxx.

◆ Determinant() [2/2]

void TMatrixTSym::Determinant	(	Double_t &	d1,
		Double_t &	d2
	)		const

virtual

Definition at line 947 of file TMatrixTSym.cxx.

◆ EigenVectors()

const TMatrixT< Element > TMatrixTSym::EigenVectors ( TVectorT< Element > & eigenValues ) const

Return a matrix containing the eigen-vectors ordered by descending eigen-values.

For full functionality use TMatrixDSymEigen .

Definition at line 1681 of file TMatrixTSym.cxx.

◆ GetColIndexArray() [1/2]

virtual Int_t* TMatrixTSym::GetColIndexArray ( )

inlinevirtual

Definition at line 87 of file TMatrixTSym.h.

◆ GetColIndexArray() [2/2]

virtual const Int_t* TMatrixTSym::GetColIndexArray ( ) const

inlinevirtual

Definition at line 86 of file TMatrixTSym.h.

◆ GetMatrixArray() [1/2]

Element * TMatrixTSym::GetMatrixArray ( )

inlinevirtual

Definition at line 190 of file TMatrixTSym.h.

◆ GetMatrixArray() [2/2]

const Element * TMatrixTSym::GetMatrixArray ( ) const

inlinevirtual

Definition at line 189 of file TMatrixTSym.h.

◆ GetRowIndexArray() [1/2]

virtual Int_t* TMatrixTSym::GetRowIndexArray ( )

inlinevirtual

Definition at line 85 of file TMatrixTSym.h.

◆ GetRowIndexArray() [2/2]

virtual const Int_t* TMatrixTSym::GetRowIndexArray ( ) const

inlinevirtual

Definition at line 84 of file TMatrixTSym.h.

◆ GetSub() [1/3]

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

◆ GetSub() [2/3]

virtual TMatrixTBase<Element>& TMatrixTSym::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

◆ GetSub() [3/3]

TMatrixTSym<Element>& TMatrixTSym::GetSub	(	Int_t	row_lwb,
		Int_t	row_upb,
		TMatrixTSym< Element > &	target,
		Option_t *	option = `"S"`
	)		const

◆ Invert()

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

Invert the matrix and calculate its determinant Notice that the LU decomposition is used instead of Bunch-Kaufman Bunch-Kaufman guarantees a symmetric inverted matrix but is slower than LU .

The user can access Bunch-Kaufman through the TDecompBK class .

Definition at line 961 of file TMatrixTSym.cxx.

◆ InvertFast()

TMatrixTSym< Element > & TMatrixTSym::InvertFast ( Double_t * det = 0 )

Invert the matrix and calculate its determinant.

Definition at line 979 of file TMatrixTSym.cxx.

◆ IsSymmetric()

virtual Bool_t TMatrixTSym::IsSymmetric ( ) const

inlinevirtual

Definition at line 95 of file TMatrixTSym.h.

◆ Memcpy_m()

Int_t TMatrixTSym::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 247 of file TMatrixTSym.cxx.

◆ Minus()

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

Symmetric matrix summation. Create a matrix C such that C = A + B.

Definition at line 346 of file TMatrixTSym.cxx.

◆ Mult()

void TMatrixTSym::Mult ( const TMatrixTSym< Element > & a )

inline

Definition at line 77 of file TMatrixTSym.h.

◆ New_m()

Element * TMatrixTSym::New_m ( Int_t size )

protected

return data pointer .

if requested size <= kSizeMax, assign pointer to the stack space

Definition at line 229 of file TMatrixTSym.cxx.

◆ operator()() [1/2]

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

inline

Definition at line 224 of file TMatrixTSym.h.

◆ operator()() [2/2]

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

inline

Definition at line 208 of file TMatrixTSym.h.

◆ operator*=()

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

Multiply every element of the matrix with val.

Definition at line 1498 of file TMatrixTSym.cxx.

◆ operator+=() [1/2]

TMatrixTSym& TMatrixTSym::operator+= ( const TMatrixTSym & source )

◆ operator+=() [2/2]

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

Add val to every element of the matrix.

Definition at line 1466 of file TMatrixTSym.cxx.

◆ operator-=() [1/2]

TMatrixTSym& TMatrixTSym::operator-= ( const TMatrixTSym & source )

◆ operator-=() [2/2]

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

Subtract val from every element of the matrix.

Definition at line 1482 of file TMatrixTSym.cxx.

◆ operator=() [1/7]

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

◆ operator=() [2/7]

template<class Element >

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

Definition at line 1414 of file TMatrixTSym.cxx.

◆ operator=() [3/7]

template<class Element2 >

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

inline

Definition at line 144 of file TMatrixTSym.h.

◆ operator=() [4/7]

template<class Element >

TMatrixTSym<Element>& TMatrixTSym::operator= ( const TMatrixTSymLazy< Element > & lazy_constructor )

Definition at line 1431 of file TMatrixTSym.cxx.

◆ operator=() [5/7]

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

◆ operator=() [6/7]

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

◆ operator=() [7/7]

template<class Element >

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

Assign val to every element of the matrix.

Definition at line 1450 of file TMatrixTSym.cxx.

◆ operator[]() [1/2]

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

inline

Definition at line 140 of file TMatrixTSym.h.

◆ operator[]() [2/2]

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

inline

Definition at line 139 of file TMatrixTSym.h.

◆ Plus()

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

Symmetric matrix summation. Create a matrix C such that C = A + B.

Definition at line 312 of file TMatrixTSym.cxx.

◆ Randomize()

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

virtual

randomize matrix element values but keep matrix symmetric

Definition at line 1608 of file TMatrixTSym.cxx.

◆ RandomizePD()

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

virtual

randomize matrix element values but keep matrix symmetric positive definite

Definition at line 1639 of file TMatrixTSym.cxx.

◆ Rank1Update()

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

Perform a rank 1 operation on the matrix: A += alpha * v * v^T.

Definition at line 1063 of file TMatrixTSym.cxx.

◆ ResizeTo() [1/3]

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

inline

Definition at line 118 of file TMatrixTSym.h.

◆ ResizeTo() [2/3]

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

virtual

◆ ResizeTo() [3/3]

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

inlinevirtual

Definition at line 90 of file TMatrixTSym.h.

◆ SetMatrixArray()

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

virtual

Definition at line 743 of file TMatrixTSym.cxx.

◆ SetRowIndexArray()

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

inlinevirtual

Definition at line 89 of file TMatrixTSym.h.

◆ SetSub() [1/2]

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

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

Definition at line 636 of file TMatrixTSym.cxx.

◆ SetSub() [2/2]

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

virtual

Insert matrix source starting at [row_lwb][col_lwb] in a symmetric fashion, thereby overwriting the part [row_lwb..row_lwb+nrows_source][row_lwb..row_lwb+nrows_source];.

Definition at line 686 of file TMatrixTSym.cxx.

◆ Shift()

TMatrixTBase< Element > & TMatrixTSym::Shift	(	Int_t	row_shift,
		Int_t	col_shift
	)

virtual

Definition at line 756 of file TMatrixTSym.cxx.

◆ Similarity() [1/3]

TMatrixTSym<Element>& TMatrixTSym::Similarity ( const TMatrixT< Element > & n )

◆ Similarity() [2/3]

TMatrixTSym<Element>& TMatrixTSym::Similarity ( const TMatrixTSym< Element > & n )

◆ Similarity() [3/3]

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

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

Definition at line 1292 of file TMatrixTSym.cxx.

◆ SimilarityT()

TMatrixTSym< Element > & TMatrixTSym::SimilarityT ( const TMatrixT< Element > & n )

Calculate B^T * (*this) * B , final matrix will be (ncolsb x ncolsb) It is more efficient than applying the actual multiplication because this routine realizes that the final matrix is symmetric .

Definition at line 1327 of file TMatrixTSym.cxx.

◆ T()

TMatrixTSym<Element>& TMatrixTSym::T ( )

inline

Definition at line 127 of file TMatrixTSym.h.

◆ TMult() [1/2]

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

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

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

Definition at line 381 of file TMatrixTSym.cxx.

◆ TMult() [2/2]

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

Matrix multiplication, with A symmetric Create a matrix C such that C = A' * A = A * A = A * A'.

Definition at line 429 of file TMatrixTSym.cxx.

◆ Transpose()

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

Transpose a matrix.

Definition at line 1041 of file TMatrixTSym.cxx.

◆ Use() [1/6]

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

inline

Definition at line 197 of file TMatrixTSym.h.

◆ Use() [2/6]

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

inline

Definition at line 193 of file TMatrixTSym.h.

◆ Use() [3/6]

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

inline

Definition at line 192 of file TMatrixTSym.h.

◆ Use() [4/6]

const TMatrixTSym<Element>& TMatrixTSym::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		const Element *	data
	)		const

inline

Definition at line 98 of file TMatrixTSym.h.

◆ Use() [5/6]

TMatrixTSym< Element > & TMatrixTSym::Use	(	Int_t	row_lwb,
		Int_t	row_upb,
		Element *	data
	)

Definition at line 475 of file TMatrixTSym.cxx.

◆ Use() [6/6]

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

inline

Definition at line 195 of file TMatrixTSym.h.

Member Data Documentation

◆ fDataStack

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

protected

Definition at line 38 of file TMatrixTSym.h.

◆ fElements

Element* TMatrixTSym::fElements

protected

data container

Definition at line 39 of file TMatrixTSym.h.

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

math/matrix/inc/TMatrixDSymfwd.h
math/matrix/inc/TMatrixTSym.h
math/matrix/src/TMatrixTSym.cxx

Public Types

Public Member Functions

Protected Member Functions

Protected Attributes

Member Enumeration Documentation

◆ anonymous enum

◆ EMatrixCreatorsOp1

◆ EMatrixCreatorsOp2

Constructor & Destructor Documentation

◆ TMatrixTSym() [1/20]

◆ TMatrixTSym() [2/20]

◆ TMatrixTSym() [3/20]

◆ TMatrixTSym() [4/20]

◆ TMatrixTSym() [5/20]

◆ TMatrixTSym() [6/20]

◆ TMatrixTSym() [7/20]

◆ TMatrixTSym() [8/20]

◆ TMatrixTSym() [9/20]

◆ TMatrixTSym() [10/20]

◆ TMatrixTSym() [11/20]

◆ ~TMatrixTSym()

◆ TMatrixTSym() [12/20]

◆ TMatrixTSym() [13/20]

◆ TMatrixTSym() [14/20]

◆ TMatrixTSym() [15/20]

◆ TMatrixTSym() [16/20]

◆ TMatrixTSym() [17/20]

◆ TMatrixTSym() [18/20]

◆ TMatrixTSym() [19/20]

◆ TMatrixTSym() [20/20]

Member Function Documentation

◆ Allocate()

◆ Apply() [1/2]

◆ Apply() [2/2]

◆ 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() [1/3]

◆ GetSub() [2/3]

◆ GetSub() [3/3]

◆ Invert()

◆ InvertFast()

◆ IsSymmetric()

◆ Memcpy_m()

◆ Minus()

◆ Mult()

◆ New_m()

◆ operator()() [1/2]

◆ operator()() [2/2]

◆ operator*=()

◆ operator+=() [1/2]

◆ operator+=() [2/2]

◆ operator-=() [1/2]

◆ operator-=() [2/2]

◆ operator=() [1/7]

◆ operator=() [2/7]

◆ operator=() [3/7]

◆ operator=() [4/7]

◆ operator=() [5/7]

◆ operator=() [6/7]

◆ operator=() [7/7]

◆ operator[]() [1/2]

◆ operator[]() [2/2]

◆ Plus()

◆ Randomize()

◆ RandomizePD()

◆ Rank1Update()

◆ ResizeTo() [1/3]

◆ ResizeTo() [2/3]

◆ ResizeTo() [3/3]

◆ SetColIndexArray()