Template class of a general matrix in the linear algebra package
See the Matrix Linear Algebra page for the documentation of the linear algebra package
Definition at line 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 Types inherited from TObject | |
enum | { kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff } |
enum | { kSingleKey = (1ULL << ( 0 )) , kOverwrite = (1ULL << ( 1 )) , kWriteDelete = (1ULL << ( 2 )) } |
enum | EDeprecatedStatusBits { kObjInCanvas = (1ULL << ( 3 )) } |
enum | EStatusBits { kCanDelete = (1ULL << ( 0 )) , kMustCleanup = (1ULL << ( 3 )) , kIsReferenced = (1ULL << ( 4 )) , kHasUUID = (1ULL << ( 5 )) , kCannotPick = (1ULL << ( 6 )) , kNoContextMenu = (1ULL << ( 8 )) , kInvalidObject = (1ULL << ( 13 )) } |
Public Member Functions | |
TMatrixT () | |
TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. | |
TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. | |
TMatrixT (const TMatrixT< Element > &another) | |
Copy constructor. | |
template<class Element2 > | |
TMatrixT (const TMatrixT< Element2 > &another) | |
TMatrixT (const TMatrixTLazy< Element > &lazy_constructor) | |
Constructor using the TMatrixTLazy class. | |
TMatrixT (const TMatrixTSparse< Element > &another) | |
Copy constructor of a sparse matrix. | |
TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. | |
TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. | |
TMatrixT (const TMatrixTSym< Element > &another) | |
Copy constructor of a symmetric matrix. | |
TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype) | |
Constructor of matrix applying a specific operation to the prototype. | |
TMatrixT (Int_t nrows, Int_t ncols) | |
Constructor for (nrows x ncols) matrix. | |
TMatrixT (Int_t nrows, Int_t ncols, const Element *data, Option_t *option="") | |
option="F": array elements contains the matrix stored column-wise like in Fortran, so a[i,j] = elements[i+no_rows*j], else it is supposed that array elements are stored row-wise a[i,j] = elements[i*no_cols+j] | |
TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb) | |
Constructor for ([row_lwb..row_upb] x [col_lwb..col_upb]) matrix. | |
TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element *data, Option_t *option="") | |
array elements are copied | |
~TMatrixT () override | |
TClass * | Class () |
void | Clear (Option_t *="") override |
Double_t | Determinant () const override |
Return the matrix determinant. | |
void | Determinant (Double_t &d1, Double_t &d2) const override |
Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2) | |
const TMatrixT< Element > | EigenVectors (TVectorT< Element > &eigenValues) const |
Return a matrix containing the eigen-vectors ordered by descending values of Re^2+Im^2 of the complex eigen-values . | |
const Int_t * | GetColIndexArray () const override |
Int_t * | GetColIndexArray () override |
const Element * | GetMatrixArray () const override |
Element * | GetMatrixArray () override |
const Int_t * | GetRowIndexArray () const override |
Int_t * | GetRowIndexArray () override |
TMatrixT< Element > | GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const |
TMatrixTBase< Element > & | GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, TMatrixTBase< Element > &target, Option_t *option="S") const override |
Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: | |
TMatrixT< Element > & | Invert (Double_t *det=nullptr) |
Invert the matrix and calculate its determinant. | |
TMatrixT< Element > & | InvertFast (Double_t *det=nullptr) |
Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used . | |
TClass * | IsA () const override |
void | Minus (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix summation. Create a matrix C such that C = A - B. | |
void | Minus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
General matrix summation. Create a matrix C such that C = A - B. | |
void | Minus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
void | Mult (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix multiplication. Create a matrix C such that C = A * B. | |
void | Mult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
Matrix multiplication, with A general and B symmetric. | |
void | Mult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
Matrix multiplication, with A symmetric and B general. | |
void | Mult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
Matrix multiplication, with A symmetric and B symmetric. | |
void | MultT (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix multiplication. Create a matrix C such that C = A * B^T. | |
void | MultT (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
void | MultT (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
Matrix multiplication, with A symmetric and B general. | |
void | MultT (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
TMatrixT< Element > & | NormByColumn (const TVectorT< Element > &v, Option_t *option="D") |
Multiply/divide matrix columns by a vector: option: "D" : b(i,j) = a(i,j)/v(i) i = 0,fNrows-1 (default) else : b(i,j) = a(i,j)*v(i) | |
TMatrixT< Element > & | NormByRow (const TVectorT< Element > &v, Option_t *option="D") |
Multiply/divide matrix rows with a vector: option: "D" : b(i,j) = a(i,j)/v(j) i = 0,fNcols-1 (default) else : b(i,j) = a(i,j)*v(j) | |
Element | operator() (Int_t rown, Int_t coln) const override |
Element & | operator() (Int_t rown, Int_t coln) override |
TMatrixT< Element > & | operator*= (const TMatrixT< Element > &source) |
Compute target = target * source inplace. | |
TMatrixT< Element > & | operator*= (const TMatrixTColumn_const< Element > &col) |
Multiply a matrix by the column of another matrix matrix(i,j) *= another(i,k) for fixed k. | |
TMatrixT< Element > & | operator*= (const TMatrixTDiag_const< Element > &diag) |
Multiply a matrix row by the diagonal of another matrix matrix(i,j) *= diag(j), j=0,fNcols-1. | |
TMatrixT< Element > & | operator*= (const TMatrixTRow_const< Element > &row) |
Multiply a matrix by the row of another matrix matrix(i,j) *= another(k,j) for fixed k. | |
TMatrixT< Element > & | operator*= (const TMatrixTSym< Element > &source) |
Compute target = target * source inplace. | |
TMatrixT< Element > & | operator*= (Element val) |
Multiply every element of the matrix with val. | |
TMatrixT< Element > & | operator+= (const TMatrixT< Element > &source) |
Add the source matrix. | |
TMatrixT< Element > & | operator+= (const TMatrixTSym< Element > &source) |
Add the source matrix. | |
TMatrixT< Element > & | operator+= (Element val) |
Add val to every element of the matrix. | |
TMatrixT< Element > & | operator-= (const TMatrixT< Element > &source) |
Subtract the source matrix. | |
TMatrixT< Element > & | operator-= (const TMatrixTSym< Element > &source) |
Subtract the source matrix. | |
TMatrixT< Element > & | operator-= (Element val) |
Subtract val from every element of the matrix. | |
TMatrixT< Element > & | operator/= (const TMatrixTColumn_const< Element > &col) |
Divide a matrix by the column of another matrix matrix(i,j) /= another(i,k) for fixed k. | |
TMatrixT< Element > & | operator/= (const TMatrixTDiag_const< Element > &diag) |
Divide a matrix row by the diagonal of another matrix matrix(i,j) /= diag(j) | |
TMatrixT< Element > & | operator/= (const TMatrixTRow_const< Element > &row) |
Divide a matrix by the row of another matrix matrix(i,j) /= another(k,j) for fixed k. | |
TMatrixT< Element > & | operator= (const TMatrixT< Element > &source) |
Assignment operator. | |
template<class Element2 > | |
TMatrixT< Element > & | operator= (const TMatrixT< Element2 > &source) |
TMatrixT< Element > & | operator= (const TMatrixTLazy< Element > &source) |
Assignment operator. | |
TMatrixT< Element > & | operator= (const TMatrixTSparse< Element > &source) |
Assignment operator. | |
TMatrixT< Element > & | operator= (const TMatrixTSym< Element > &source) |
Assignment operator. | |
TMatrixT< Element > & | operator= (Element val) |
Assign val to every element of the matrix. | |
TMatrixTRow< Element > | operator[] (Int_t rown) |
const TMatrixTRow_const< Element > | operator[] (Int_t rown) const |
void | Plus (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix summation. Create a matrix C such that C = A + B. | |
void | Plus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
General matrix summation. Create a matrix C such that C = A + B. | |
void | Plus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
TMatrixT< Element > & | Rank1Update (const TVectorT< Element > &v, Element alpha=1.0) |
Perform a rank 1 operation on matrix A: A += alpha * v * v^T. | |
TMatrixT< Element > & | Rank1Update (const TVectorT< Element > &v1, const TVectorT< Element > &v2, Element alpha=1.0) |
Perform a rank 1 operation on matrix A: A += alpha * v1 * v2^T. | |
TMatrixTBase< Element > & | ResizeTo (const TMatrixT< Element > &m) |
TMatrixTBase< Element > & | ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1) override |
Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. | |
TMatrixTBase< Element > & | ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1) override |
Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. | |
TMatrixTBase< Element > & | SetColIndexArray (Int_t *) override |
TMatrixTBase< Element > & | SetRowIndexArray (Int_t *) override |
TMatrixTBase< Element > & | SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source) override |
Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];. | |
Element | Similarity (const TVectorT< Element > &v) const |
Calculate scalar v * (*this) * v^T. | |
void | Streamer (TBuffer &) override |
Stream an object of class TMatrixT. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
TMatrixT< Element > & | T () |
void | TMult (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
Create a matrix C such that C = A' * B. | |
void | TMult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
Create a matrix C such that C = A' * B. | |
void | TMult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
void | TMult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
TMatrixT< Element > & | Transpose (const TMatrixT< Element > &source) |
Transpose matrix source. | |
const TMatrixT< Element > & | Use (const TMatrixT< Element > &a) const |
const TMatrixT< Element > & | Use (Int_t nrows, Int_t ncols, const Element *data) const |
TMatrixT< Element > & | Use (Int_t nrows, Int_t ncols, Element *data) |
const TMatrixT< Element > & | Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element *data) const |
TMatrixT< Element > & | Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Element *data) |
Use the array data to fill the matrix ([row_lwb..row_upb] x [col_lwb..col_upb]) | |
TMatrixT< Element > & | Use (TMatrixT< Element > &a) |
Public Member Functions inherited from TMatrixTBase< Element > | |
TMatrixTBase () | |
~TMatrixTBase () override | |
virtual TMatrixTBase< Element > & | Abs () |
Take an absolute value of a matrix, i.e. apply Abs() to each element. | |
virtual TMatrixTBase< Element > & | Apply (const TElementActionT< Element > &action) |
Apply action to each matrix element. | |
virtual TMatrixTBase< Element > & | Apply (const TElementPosActionT< Element > &action) |
Apply action to each element of the matrix. | |
TClass * | Class () |
virtual Element | ColNorm () const |
Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}. | |
void | Draw (Option_t *option="") override |
Draw this matrix The histogram is named "TMatrixT" by default and no title. | |
virtual Element | E2Norm () const |
Square of the Euclidean norm, SUM{ m(i,j)^2 }. | |
virtual void | ExtractRow (Int_t row, Int_t col, Element *v, Int_t n=-1) const |
Store in array v, n matrix elements of row rown starting at column coln. | |
Int_t | GetColLwb () const |
Int_t | GetColUpb () const |
virtual void | GetMatrix2Array (Element *data, Option_t *option="") const |
Copy matrix data to array . | |
Int_t | GetNcols () const |
Int_t | GetNoElements () const |
Int_t | GetNrows () const |
Int_t | GetRowLwb () const |
Int_t | GetRowUpb () const |
Element | GetTol () const |
virtual TMatrixTBase< Element > & | InsertRow (Int_t row, Int_t col, const Element *v, Int_t n=-1) |
Copy n elements from array v to row rown starting at column coln. | |
void | Invalidate () |
TClass * | IsA () const override |
Bool_t | IsOwner () const |
virtual Bool_t | IsSymmetric () const |
Check whether matrix is symmetric. | |
Bool_t | IsValid () const |
void | MakeValid () |
virtual Element | Max () const |
return maximum vector element value | |
virtual Element | Min () const |
return minimum matrix element value | |
virtual Int_t | NonZeros () const |
Compute the number of elements != 0.0. | |
Element | Norm1 () const |
virtual TMatrixTBase< Element > & | NormByDiag (const TVectorT< Element > &v, Option_t *option="D") |
option: | |
Element | NormInf () const |
Bool_t | operator!= (Element val) const |
Are all matrix elements not equal to val? | |
Bool_t | operator< (Element val) const |
Are all matrix elements < val? | |
Bool_t | operator<= (Element val) const |
Are all matrix elements <= val? | |
Bool_t | operator== (Element val) const |
Are all matrix elements equal to val? | |
Bool_t | operator> (Element val) const |
Are all matrix elements > val? | |
Bool_t | operator>= (Element val) const |
Are all matrix elements >= val? | |
void | Print (Option_t *name="") const override |
Print the matrix as a table of elements. | |
virtual TMatrixTBase< Element > & | Randomize (Element alpha, Element beta, Double_t &seed) |
Randomize matrix element values. | |
virtual Element | RowNorm () const |
Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}. | |
virtual TMatrixTBase< Element > & | SetMatrixArray (const Element *data, Option_t *option="") |
Copy array data to matrix . | |
Element | SetTol (Element tol) |
virtual TMatrixTBase< Element > & | Shift (Int_t row_shift, Int_t col_shift) |
Shift the row index by adding row_shift and the column index by adding col_shift, respectively. | |
virtual TMatrixTBase< Element > & | Sqr () |
Square each element of the matrix. | |
virtual TMatrixTBase< Element > & | Sqrt () |
Take square root of all elements. | |
void | Streamer (TBuffer &) override |
Stream an object of class TMatrixTBase<Element>. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
virtual Element | Sum () const |
Compute sum of elements. | |
virtual TMatrixTBase< Element > & | UnitMatrix () |
Make a unit matrix (matrix need not be a square one). | |
virtual TMatrixTBase< Element > & | Zero () |
Set matrix elements to zero. | |
Public Member Functions inherited from TObject | |
TObject () | |
TObject constructor. | |
TObject (const TObject &object) | |
TObject copy ctor. | |
virtual | ~TObject () |
TObject destructor. | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. | |
virtual void | AppendPad (Option_t *option="") |
Append graphics object to current pad. | |
virtual void | Browse (TBrowser *b) |
Browse object. May be overridden for another default action. | |
ULong_t | CheckedHash () |
Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. | |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. | |
virtual Int_t | Compare (const TObject *obj) const |
Compare abstract method. | |
virtual void | Copy (TObject &object) const |
Copy this to obj. | |
virtual void | Delete (Option_t *option="") |
Delete this object. | |
virtual Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
Computes distance from point (px,py) to the object. | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad with: gROOT->SetSelectedPad(c1) . | |
virtual void | Dump () const |
Dump contents of object on stdout. | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. | |
virtual void | Execute (const char *method, const char *params, Int_t *error=nullptr) |
Execute method on this object with the given parameter string, e.g. | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=nullptr) |
Execute method on this object with parameters stored in the TObjArray. | |
virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
Execute action corresponding to an event at (px,py). | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. | |
virtual TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. | |
virtual const char * | GetIconName () const |
Returns mime type name of object. | |
virtual const char * | GetName () const |
Returns name of object. | |
virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
Returns string containing info about the object at position (px,py). | |
virtual Option_t * | GetOption () const |
virtual const char * | GetTitle () const |
Returns title of object. | |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. | |
virtual ULong_t | Hash () const |
Return hash value for this object. | |
Bool_t | HasInconsistentHash () const |
Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. | |
void | InvertBit (UInt_t f) |
Bool_t | IsDestructed () const |
IsDestructed. | |
virtual Bool_t | IsEqual (const TObject *obj) const |
Default equal comparison (objects are equal if they have the same address in memory). | |
virtual Bool_t | IsFolder () const |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). | |
R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
virtual Bool_t | IsSortable () const |
R__ALWAYS_INLINE Bool_t | IsZombie () const |
virtual void | ls (Option_t *option="") const |
The ls function lists the contents of a class on stdout. | |
void | MayNotUse (const char *method) const |
Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). | |
virtual Bool_t | Notify () |
This method must be overridden to handle object notification (the base implementation is no-op). | |
void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
Use this method to declare a method obsolete. | |
void | operator delete (void *ptr) |
Operator delete. | |
void | operator delete (void *ptr, void *vp) |
Only called by placement new when throwing an exception. | |
void | operator delete[] (void *ptr) |
Operator delete []. | |
void | operator delete[] (void *ptr, void *vp) |
Only called by placement new[] when throwing an exception. | |
void * | operator new (size_t sz) |
void * | operator new (size_t sz, void *vp) |
void * | operator new[] (size_t sz) |
void * | operator new[] (size_t sz, void *vp) |
TObject & | operator= (const TObject &rhs) |
TObject assignment operator. | |
virtual void | Paint (Option_t *option="") |
This method must be overridden if a class wants to paint itself. | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove this object from a list. | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. | |
virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
Save a primitive as a C++ statement(s) on output stream "out". | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. | |
void | StreamerNVirtual (TBuffer &ClassDef_StreamerNVirtual_b) |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. | |
R__ALWAYS_INLINE Bool_t | TestBit (UInt_t f) const |
Int_t | TestBits (UInt_t f) const |
virtual void | UseCurrentStyle () |
Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. | |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. | |
virtual Int_t | Write (const char *name=nullptr, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. | |
Static Public Member Functions | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
Static Public Member Functions inherited from TMatrixTBase< Element > | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static Element & | NaNValue () |
Static Public Member Functions inherited from TObject | |
static TClass * | Class () |
static const char * | Class_Name () |
static constexpr Version_t | Class_Version () |
static const char * | DeclFileName () |
static Longptr_t | GetDtorOnly () |
Return destructor only flag. | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. | |
Protected Member Functions | |
void | Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0, Int_t init=0, Int_t=-1) |
Allocate new matrix. | |
void | Delete_m (Int_t size, Element *&) |
Delete data pointer m, if it was assigned on the heap. | |
Int_t | Memcpy_m (Element *newp, const Element *oldp, Int_t copySize, Int_t newSize, Int_t oldSize) |
Copy copySize doubles from *oldp to *newp . | |
Element * | New_m (Int_t size) |
Return data pointer . | |
Protected Member Functions inherited from TObject | |
virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). | |
void | MakeZombie () |
Protected Attributes | |
Element | fDataStack [TMatrixTBase< Element >::kSizeMax] |
Element * | fElements |
data container | |
Protected Attributes inherited from TMatrixTBase< Element > | |
Int_t | fColLwb |
Bool_t | fIsOwner |
Int_t | fNcols |
Int_t | fNelems |
Int_t | fNrowIndex |
Int_t | fNrows |
Int_t | fRowLwb |
Element | fTol |
Additional Inherited Members | |
Protected Types inherited from TMatrixTBase< Element > | |
enum | { kSizeMax = 25 } |
enum | { kWorkMax = 100 } |
enum | EMatrixStatusBits { kStatus = (1ULL << ( 14 )) } |
Protected Types inherited from TObject | |
enum | { kOnlyPrepStep = (1ULL << ( 3 )) } |
Static Protected Member Functions inherited from TMatrixTBase< Element > | |
static void | DoubleLexSort (Int_t n, Int_t *first, Int_t *second, Element *data) |
default kTRUE, when Use array kFALSE | |
static void | IndexedLexSort (Int_t n, Int_t *first, Int_t swapFirst, Int_t *second, Int_t swapSecond, Int_t *index) |
Lexical sort on array data using indices first and second. | |
#include <TMatrixT.h>
anonymous enum |
Enumerator | |
---|---|
kWorkMax |
Definition at line 57 of file TMatrixT.h.
enum TMatrixT::EMatrixCreatorsOp1 |
Enumerator | |
---|---|
kZero | |
kUnit | |
kTransposed | |
kInverted | |
kAtA |
Definition at line 58 of file TMatrixT.h.
enum TMatrixT::EMatrixCreatorsOp2 |
Enumerator | |
---|---|
kMult | |
kTransposeMult | |
kInvMult | |
kMultTranspose | |
kPlus | |
kMinus |
Definition at line 59 of file TMatrixT.h.
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inline |
Definition at line 61 of file TMatrixT.h.
TMatrixT< Element >::TMatrixT | ( | Int_t | nrows, |
Int_t | ncols | ||
) |
Constructor for (nrows x ncols) matrix.
Definition at line 40 of file TMatrixT.cxx.
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< 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< 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< Element >::TMatrixT | ( | const TMatrixT< Element > & | another | ) |
Copy constructor.
Definition at line 84 of file TMatrixT.cxx.
TMatrixT< Element >::TMatrixT | ( | const TMatrixTSym< Element > & | another | ) |
Copy constructor of a symmetric matrix.
Definition at line 95 of file TMatrixT.cxx.
TMatrixT< Element >::TMatrixT | ( | const TMatrixTSparse< Element > & | another | ) |
Copy constructor of a sparse matrix.
Definition at line 106 of file TMatrixT.cxx.
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inline |
Definition at line 69 of file TMatrixT.h.
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< 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< 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< 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< 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< Element >::TMatrixT | ( | const TMatrixTLazy< Element > & | lazy_constructor | ) |
Constructor using the TMatrixTLazy class.
Definition at line 396 of file TMatrixT.cxx.
Definition at line 83 of file TMatrixT.h.
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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.
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static |
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inlinestaticconstexpr |
Definition at line 212 of file TMatrixT.h.
Implements TMatrixTBase< Element >.
Definition at line 120 of file TMatrixT.h.
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inlinestatic |
Definition at line 212 of file TMatrixT.h.
Delete data pointer m, if it was assigned on the heap.
Definition at line 408 of file TMatrixT.cxx.
Return the matrix determinant.
Reimplemented from TMatrixTBase< Element >.
Definition at line 1362 of file TMatrixT.cxx.
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overridevirtual |
Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2)
Reimplemented from TMatrixTBase< Element >.
Definition at line 1375 of file TMatrixT.cxx.
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.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 114 of file TMatrixT.h.
Implements TMatrixTBase< Element >.
Definition at line 115 of file TMatrixT.h.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 227 of file TMatrixT.h.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 228 of file TMatrixT.h.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 112 of file TMatrixT.h.
Implements TMatrixTBase< Element >.
Definition at line 113 of file TMatrixT.h.
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inline |
Definition at line 247 of file TMatrixT.h.
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overridevirtual |
Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option:
option == "S" : return [0..row_upb-row_lwb][0..col_upb-col_lwb] (default) else : return [row_lwb..row_upb][col_lwb..col_upb]
Implements TMatrixTBase< Element >.
Definition at line 1090 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::Invert | ( | Double_t * | det = nullptr | ) |
Invert the matrix and calculate its determinant.
Definition at line 1397 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::InvertFast | ( | Double_t * | det = nullptr | ) |
Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used .
Definition at line 1411 of file TMatrixT.cxx.
Reimplemented from TObject.
Definition at line 212 of file TMatrixT.h.
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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.
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.
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.
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inline |
Definition at line 93 of file TMatrixT.h.
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.
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.
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.
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.
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.
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inline |
Definition at line 106 of file TMatrixT.h.
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.
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inline |
Definition at line 108 of file TMatrixT.h.
Return data pointer .
if requested size <= kSizeMax, assign pointer to the stack space
Definition at line 422 of file TMatrixT.cxx.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 255 of file TMatrixT.h.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 272 of file TMatrixT.h.
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.
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.
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.
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.
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.
Multiply every element of the matrix with val.
Definition at line 1875 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator+= | ( | const TMatrixT< Element > & | source | ) |
Add the source matrix.
Definition at line 1891 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator+= | ( | const TMatrixTSym< Element > & | source | ) |
Add the source matrix.
Definition at line 1911 of file TMatrixT.cxx.
Add val to every element of the matrix.
Definition at line 1843 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator-= | ( | const TMatrixT< Element > & | source | ) |
Subtract the source matrix.
Definition at line 1931 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator-= | ( | const TMatrixTSym< Element > & | source | ) |
Subtract the source matrix.
Definition at line 1951 of file TMatrixT.cxx.
Subtract val from every element of the matrix.
Definition at line 1859 of file TMatrixT.cxx.
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.
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.
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.
TMatrixT< Element > & TMatrixT< Element >::operator= | ( | const TMatrixT< Element > & | source | ) |
Assignment operator.
Definition at line 1733 of file TMatrixT.cxx.
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inline |
Definition at line 175 of file TMatrixT.h.
TMatrixT< Element > & TMatrixT< Element >::operator= | ( | const TMatrixTLazy< Element > & | source | ) |
Assignment operator.
Definition at line 1806 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator= | ( | const TMatrixTSparse< Element > & | source | ) |
Assignment operator.
Definition at line 1771 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::operator= | ( | const TMatrixTSym< Element > & | source | ) |
Assignment operator.
Definition at line 1752 of file TMatrixT.cxx.
Assign val to every element of the matrix.
Definition at line 1827 of file TMatrixT.cxx.
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Definition at line 169 of file TMatrixT.h.
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inline |
Definition at line 168 of file TMatrixT.h.
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.
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.
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inline |
Definition at line 89 of file TMatrixT.h.
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.
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.
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inline |
Definition at line 145 of file TMatrixT.h.
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overridevirtual |
Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.
Implements TMatrixTBase< Element >.
Definition at line 1211 of file TMatrixT.cxx.
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overridevirtual |
Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.
Implements TMatrixTBase< Element >.
Definition at line 1276 of file TMatrixT.cxx.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 118 of file TMatrixT.h.
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inlineoverridevirtual |
Implements TMatrixTBase< Element >.
Definition at line 117 of file TMatrixT.h.
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overridevirtual |
Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];.
Implements TMatrixTBase< Element >.
Definition at line 1157 of file TMatrixT.cxx.
Element TMatrixT< Element >::Similarity | ( | const TVectorT< Element > & | v | ) | const |
Calculate scalar v * (*this) * v^T.
Definition at line 1602 of file TMatrixT.cxx.
Stream an object of class TMatrixT.
Reimplemented from TObject.
Definition at line 3148 of file TMatrixT.cxx.
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inline |
Definition at line 212 of file TMatrixT.h.
Definition at line 155 of file TMatrixT.h.
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.
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.
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Definition at line 102 of file TMatrixT.h.
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inline |
Definition at line 103 of file TMatrixT.h.
TMatrixT< Element > & TMatrixT< Element >::Transpose | ( | const TMatrixT< Element > & | source | ) |
Transpose matrix source.
Definition at line 1470 of file TMatrixT.cxx.
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Definition at line 240 of file TMatrixT.h.
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inline |
Definition at line 232 of file TMatrixT.h.
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inline |
Definition at line 230 of file TMatrixT.h.
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inline |
Definition at line 130 of file TMatrixT.h.
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.
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Definition at line 234 of file TMatrixT.h.
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protected |
Definition at line 43 of file TMatrixT.h.
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protected |
data container
Definition at line 44 of file TMatrixT.h.