Template of base class in the linear algebra package.
See The ROOT Matrix Linear Algebra classes. for the documentation of the linear algebra package.
Matrix properties are stored here, however the data storage is part of the derived classes
Definition at line 85 of file TMatrixTBase.h.
Public Member Functions | |
TMatrixTBase () | |
virtual | ~TMatrixTBase () |
virtual TMatrixTBase< Element > & | Abs () |
Take an absolute value of a matrix, i.e. apply Abs() to each element. More... | |
virtual TMatrixTBase< Element > & | Apply (const TElementActionT< Element > &action) |
Apply action to each matrix element. More... | |
virtual TMatrixTBase< Element > & | Apply (const TElementPosActionT< Element > &action) |
Apply action to each element of the matrix. More... | |
TClass * | Class () |
virtual void | Clear (Option_t *option="")=0 |
virtual Element | ColNorm () const |
Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}. More... | |
virtual Double_t | Determinant () const |
virtual void | Determinant (Double_t &d1, Double_t &d2) const |
void | Draw (Option_t *option="") |
Draw this matrix The histogram is named "TMatrixT" by default and no title. More... | |
virtual Element | E2Norm () const |
Square of the Euclidian norm, SUM{ m(i,j)^2 }. More... | |
virtual void | ExtractRow (Int_t row, Int_t col, Element *v, Int_t n=-1) const |
Store in array v, n matrix elements of row rown starting at column coln. More... | |
virtual const Int_t * | GetColIndexArray () const =0 |
virtual Int_t * | GetColIndexArray ()=0 |
Int_t | GetColLwb () const |
Int_t | GetColUpb () const |
virtual void | GetMatrix2Array (Element *data, Option_t *option="") const |
Copy matrix data to array . More... | |
virtual const Element * | GetMatrixArray () const =0 |
virtual Element * | GetMatrixArray ()=0 |
Int_t | GetNcols () const |
Int_t | GetNoElements () const |
Int_t | GetNrows () const |
virtual const Int_t * | GetRowIndexArray () const =0 |
virtual Int_t * | GetRowIndexArray ()=0 |
Int_t | GetRowLwb () const |
Int_t | GetRowUpb () 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 =0 |
Element | GetTol () const |
virtual TMatrixTBase< Element > & | InsertRow (Int_t row, Int_t col, const Element *v, Int_t n=-1) |
Copy n elements from array v to row rown starting at column coln. More... | |
void | Invalidate () |
Bool_t | IsOwner () const |
virtual Bool_t | IsSymmetric () const |
Check whether matrix is symmetric. More... | |
Bool_t | IsValid () const |
void | MakeValid () |
virtual Element | Max () const |
return maximum vector element value More... | |
virtual Element | Min () const |
return minimum matrix element value More... | |
virtual Int_t | NonZeros () const |
Compute the number of elements != 0.0. More... | |
Element | Norm1 () const |
virtual TMatrixTBase< Element > & | NormByDiag (const TVectorT< Element > &v, Option_t *option="D") |
option: More... | |
Element | NormInf () const |
Bool_t | operator!= (Element val) const |
Are all matrix elements not equal to val? More... | |
virtual Element | operator() (Int_t rown, Int_t coln) const =0 |
virtual Element & | operator() (Int_t rown, Int_t coln)=0 |
Bool_t | operator< (Element val) const |
Are all matrix elements < val? More... | |
Bool_t | operator<= (Element val) const |
Are all matrix elements <= val? More... | |
Bool_t | operator== (Element val) const |
Are all matrix elements equal to val? More... | |
Bool_t | operator> (Element val) const |
Are all matrix elements > val? More... | |
Bool_t | operator>= (Element val) const |
Are all matrix elements >= val? More... | |
void | Print (Option_t *name="") const |
Print the matrix as a table of elements. More... | |
virtual TMatrixTBase< Element > & | Randomize (Element alpha, Element beta, Double_t &seed) |
Randomize matrix element values. More... | |
virtual TMatrixTBase< Element > & | ResizeTo (Int_t nrows, Int_t ncols, Int_t nr_nonzeros=-1)=0 |
virtual TMatrixTBase< Element > & | ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t nr_nonzeros=-1)=0 |
virtual Element | RowNorm () const |
Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}. More... | |
virtual TMatrixTBase< Element > & | SetColIndexArray (Int_t *data)=0 |
virtual TMatrixTBase< Element > & | SetMatrixArray (const Element *data, Option_t *option="") |
Copy array data to matrix . More... | |
virtual TMatrixTBase< Element > & | SetRowIndexArray (Int_t *data)=0 |
virtual TMatrixTBase< Element > & | SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source)=0 |
Element | SetTol (Element tol) |
virtual TMatrixTBase< Element > & | Shift (Int_t row_shift, Int_t col_shift) |
Shift the row index by adding row_shift and the column index by adding col_shift, respectively. More... | |
virtual TMatrixTBase< Element > & | Sqr () |
Square each element of the matrix. More... | |
virtual TMatrixTBase< Element > & | Sqrt () |
Take square root of all elements. More... | |
virtual Element | Sum () const |
Compute sum of elements. More... | |
virtual TMatrixTBase< Element > & | UnitMatrix () |
Make a unit matrix (matrix need not be a square one). More... | |
virtual TMatrixTBase< Element > & | Zero () |
Set matrix elements to zero. More... | |
Public Member Functions inherited from TObject | |
TObject () | |
TObject constructor. More... | |
TObject (const TObject &object) | |
TObject copy ctor. More... | |
virtual | ~TObject () |
TObject destructor. More... | |
void | AbstractMethod (const char *method) const |
Use this method to implement an "abstract" method that you don't want to leave purely abstract. More... | |
virtual void | AppendPad (Option_t *option="") |
Append graphics object to current pad. More... | |
virtual void | Browse (TBrowser *b) |
Browse object. May be overridden for another default action. More... | |
ULong_t | CheckedHash () |
Check and record whether this class has a consistent Hash/RecursiveRemove setup (*) and then return the regular Hash value for this object. More... | |
virtual const char * | ClassName () const |
Returns name of class to which the object belongs. More... | |
virtual void | Clear (Option_t *="") |
virtual TObject * | Clone (const char *newname="") const |
Make a clone of an object using the Streamer facility. More... | |
virtual Int_t | Compare (const TObject *obj) const |
Compare abstract method. More... | |
virtual void | Copy (TObject &object) const |
Copy this to obj. More... | |
virtual void | Delete (Option_t *option="") |
Delete this object. More... | |
virtual Int_t | DistancetoPrimitive (Int_t px, Int_t py) |
Computes distance from point (px,py) to the object. More... | |
virtual void | Draw (Option_t *option="") |
Default Draw method for all objects. More... | |
virtual void | DrawClass () const |
Draw class inheritance tree of the class to which this object belongs. More... | |
virtual TObject * | DrawClone (Option_t *option="") const |
Draw a clone of this object in the current selected pad for instance with: gROOT->SetSelectedPad(gPad) . More... | |
virtual void | Dump () const |
Dump contents of object on stdout. More... | |
virtual void | Error (const char *method, const char *msgfmt,...) const |
Issue error message. More... | |
virtual void | Execute (const char *method, const char *params, Int_t *error=0) |
Execute method on this object with the given parameter string, e.g. More... | |
virtual void | Execute (TMethod *method, TObjArray *params, Int_t *error=0) |
Execute method on this object with parameters stored in the TObjArray. More... | |
virtual void | ExecuteEvent (Int_t event, Int_t px, Int_t py) |
Execute action corresponding to an event at (px,py). More... | |
virtual void | Fatal (const char *method, const char *msgfmt,...) const |
Issue fatal error message. More... | |
virtual TObject * | FindObject (const char *name) const |
Must be redefined in derived classes. More... | |
virtual TObject * | FindObject (const TObject *obj) const |
Must be redefined in derived classes. More... | |
virtual Option_t * | GetDrawOption () const |
Get option used by the graphics system to draw this object. More... | |
virtual const char * | GetIconName () const |
Returns mime type name of object. More... | |
virtual const char * | GetName () const |
Returns name of object. More... | |
virtual char * | GetObjectInfo (Int_t px, Int_t py) const |
Returns string containing info about the object at position (px,py). More... | |
virtual Option_t * | GetOption () const |
virtual const char * | GetTitle () const |
Returns title of object. More... | |
virtual UInt_t | GetUniqueID () const |
Return the unique object id. More... | |
virtual Bool_t | HandleTimer (TTimer *timer) |
Execute action in response of a timer timing out. More... | |
virtual ULong_t | Hash () const |
Return hash value for this object. More... | |
Bool_t | HasInconsistentHash () const |
Return true is the type of this object is known to have an inconsistent setup for Hash and RecursiveRemove (i.e. More... | |
virtual void | Info (const char *method, const char *msgfmt,...) const |
Issue info message. More... | |
virtual Bool_t | InheritsFrom (const char *classname) const |
Returns kTRUE if object inherits from class "classname". More... | |
virtual Bool_t | InheritsFrom (const TClass *cl) const |
Returns kTRUE if object inherits from TClass cl. More... | |
virtual void | Inspect () const |
Dump contents of this object in a graphics canvas. More... | |
void | InvertBit (UInt_t f) |
virtual Bool_t | IsEqual (const TObject *obj) const |
Default equal comparison (objects are equal if they have the same address in memory). More... | |
virtual Bool_t | IsFolder () const |
Returns kTRUE in case object contains browsable objects (like containers or lists of other objects). More... | |
R__ALWAYS_INLINE Bool_t | IsOnHeap () const |
virtual Bool_t | IsSortable () const |
R__ALWAYS_INLINE Bool_t | IsZombie () const |
virtual void | ls (Option_t *option="") const |
The ls function lists the contents of a class on stdout. More... | |
void | MayNotUse (const char *method) const |
Use this method to signal that a method (defined in a base class) may not be called in a derived class (in principle against good design since a child class should not provide less functionality than its parent, however, sometimes it is necessary). More... | |
virtual Bool_t | Notify () |
This method must be overridden to handle object notification. More... | |
void | Obsolete (const char *method, const char *asOfVers, const char *removedFromVers) const |
Use this method to declare a method obsolete. More... | |
void | operator delete (void *ptr) |
Operator delete. More... | |
void | operator delete[] (void *ptr) |
Operator delete []. More... | |
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. More... | |
virtual void | Paint (Option_t *option="") |
This method must be overridden if a class wants to paint itself. More... | |
virtual void | Pop () |
Pop on object drawn in a pad to the top of the display list. More... | |
virtual void | Print (Option_t *option="") const |
This method must be overridden when a class wants to print itself. More... | |
virtual Int_t | Read (const char *name) |
Read contents of object with specified name from the current directory. More... | |
virtual void | RecursiveRemove (TObject *obj) |
Recursively remove this object from a list. More... | |
void | ResetBit (UInt_t f) |
virtual void | SaveAs (const char *filename="", Option_t *option="") const |
Save this object in the file specified by filename. More... | |
virtual void | SavePrimitive (std::ostream &out, Option_t *option="") |
Save a primitive as a C++ statement(s) on output stream "out". More... | |
void | SetBit (UInt_t f) |
void | SetBit (UInt_t f, Bool_t set) |
Set or unset the user status bits as specified in f. More... | |
virtual void | SetDrawOption (Option_t *option="") |
Set drawing option for object. More... | |
virtual void | SetUniqueID (UInt_t uid) |
Set the unique object id. More... | |
virtual void | SysError (const char *method, const char *msgfmt,...) const |
Issue system error message. More... | |
R__ALWAYS_INLINE Bool_t | TestBit (UInt_t f) const |
Int_t | TestBits (UInt_t f) const |
virtual void | UseCurrentStyle () |
Set current style settings in this object This function is called when either TCanvas::UseCurrentStyle or TROOT::ForceStyle have been invoked. More... | |
virtual void | Warning (const char *method, const char *msgfmt,...) const |
Issue warning message. More... | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) |
Write this object to the current directory. More... | |
virtual Int_t | Write (const char *name=0, Int_t option=0, Int_t bufsize=0) const |
Write this object to the current directory. More... | |
Static Public Member Functions | |
static Element & | NaNValue () |
Static Public Member Functions inherited from TObject | |
static Long_t | GetDtorOnly () |
Return destructor only flag. More... | |
static Bool_t | GetObjectStat () |
Get status of object stat flag. More... | |
static void | SetDtorOnly (void *obj) |
Set destructor only flag. More... | |
static void | SetObjectStat (Bool_t stat) |
Turn on/off tracking of objects in the TObjectTable. More... | |
Protected Types | |
enum | { kSizeMax = 25 } |
enum | { kWorkMax = 100 } |
enum | EMatrixStatusBits { kStatus = BIT(14) } |
Protected Types inherited from TObject | |
enum | { kOnlyPrepStep = BIT(3) } |
Static Protected Member Functions | |
static void | DoubleLexSort (Int_t n, Int_t *first, Int_t *second, Element *data) |
default kTRUE, when Use array kFALSE More... | |
static void | IndexedLexSort (Int_t n, Int_t *first, Int_t swapFirst, Int_t *second, Int_t swapSecond, Int_t *index) |
Lexical sort on array data using indices first and second. More... | |
Protected Attributes | |
Int_t | fColLwb |
Bool_t | fIsOwner |
Int_t | fNcols |
Int_t | fNelems |
Int_t | fNrowIndex |
Int_t | fNrows |
Int_t | fRowLwb |
Element | fTol |
Private Member Functions | |
Element * | GetElements () |
Additional Inherited Members | |
Public Types inherited from TObject | |
enum | { kIsOnHeap = 0x01000000 , kNotDeleted = 0x02000000 , kZombie = 0x04000000 , kInconsistent = 0x08000000 , kBitMask = 0x00ffffff } |
enum | { kSingleKey = BIT(0) , kOverwrite = BIT(1) , kWriteDelete = BIT(2) } |
enum | EDeprecatedStatusBits { kObjInCanvas = BIT(3) } |
enum | EStatusBits { kCanDelete = BIT(0) , kMustCleanup = BIT(3) , kIsReferenced = BIT(4) , kHasUUID = BIT(5) , kCannotPick = BIT(6) , kNoContextMenu = BIT(8) , kInvalidObject = BIT(13) } |
Protected Member Functions inherited from TObject | |
virtual void | DoError (int level, const char *location, const char *fmt, va_list va) const |
Interface to ErrorHandler (protected). More... | |
void | MakeZombie () |
#include <TMatrixTBase.h>
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kSizeMax |
Definition at line 107 of file TMatrixTBase.h.
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kWorkMax |
Definition at line 108 of file TMatrixTBase.h.
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kStatus |
Definition at line 110 of file TMatrixTBase.h.
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Definition at line 116 of file TMatrixTBase.h.
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Definition at line 120 of file TMatrixTBase.h.
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Take an absolute value of a matrix, i.e. apply Abs() to each element.
Definition at line 363 of file TMatrixTBase.cxx.
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Apply action to each matrix element.
Reimplemented in TMatrixTSym< Double_t >, and TMatrixTSym< Element >.
Definition at line 801 of file TMatrixTBase.cxx.
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Apply action to each element of the matrix.
To action the location of the current element is passed.
Reimplemented in TMatrixTSym< Double_t >, and TMatrixTSym< Element >.
Definition at line 818 of file TMatrixTBase.cxx.
TClass * TMatrixTBase< double >::Class | ( | ) |
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Reimplemented from TObject.
Implemented in TMatrixT< Element >, TMatrixT< Double_t >, TMatrixT< AReal >, TMatrixTSparse< Element >, TMatrixTSparse< Double_t >, TMatrixTSym< Element >, and TMatrixTSym< Double_t >.
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Column matrix norm, MAX{ SUM{ |M(i,j)|, over i}, over j}.
The norm is induced by the 1 vector norm.
Reimplemented in TMatrixTSparse< Element >, and TMatrixTSparse< Double_t >.
Definition at line 517 of file TMatrixTBase.cxx.
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Reimplemented in TMatrixT< Element >, TMatrixT< Double_t >, TMatrixT< AReal >, TMatrixTSym< Element >, and TMatrixTSym< Double_t >.
Definition at line 163 of file TMatrixTBase.h.
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Reimplemented in TMatrixT< Element >, TMatrixT< Double_t >, TMatrixT< AReal >, TMatrixTSym< Element >, and TMatrixTSym< Double_t >.
Definition at line 164 of file TMatrixTBase.h.
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default kTRUE, when Use array kFALSE
Lexical sort on array data using indices first and second.
Definition at line 42 of file TMatrixTBase.cxx.
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Draw this matrix The histogram is named "TMatrixT" by default and no title.
Reimplemented from TObject.
Definition at line 623 of file TMatrixTBase.cxx.
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Square of the Euclidian norm, SUM{ m(i,j)^2 }.
Definition at line 544 of file TMatrixTBase.cxx.
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Store in array v, n matrix elements of row rown starting at column coln.
Reimplemented in TMatrixTSparse< Double_t >, and TMatrixTSparse< Element >.
Definition at line 305 of file TMatrixTBase.cxx.
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Definition at line 125 of file TMatrixTBase.h.
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Definition at line 126 of file TMatrixTBase.h.
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Copy matrix data to array .
It is assumed that array is of size >= fNelems (=)))) fNrows*fNcols option indicates how the data is stored in the array: option =
Reimplemented in TMatrixTSparse< Double_t >, and TMatrixTSparse< Element >.
Definition at line 245 of file TMatrixTBase.cxx.
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Definition at line 127 of file TMatrixTBase.h.
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Definition at line 128 of file TMatrixTBase.h.
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Definition at line 124 of file TMatrixTBase.h.
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Definition at line 122 of file TMatrixTBase.h.
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Definition at line 123 of file TMatrixTBase.h.
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Implemented in TMatrixT< AReal >, TMatrixT< Double_t >, TMatrixT< Element >, TMatrixTSparse< Element >, and TMatrixTSym< Element >.
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Definition at line 129 of file TMatrixTBase.h.
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Lexical sort on array data using indices first and second.
Definition at line 81 of file TMatrixTBase.cxx.
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Copy n elements from array v to row rown starting at column coln.
Reimplemented in TMatrixTSparse< Double_t >, and TMatrixTSparse< Element >.
Definition at line 271 of file TMatrixTBase.cxx.
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Definition at line 145 of file TMatrixTBase.h.
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Definition at line 148 of file TMatrixTBase.h.
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Check whether matrix is symmetric.
Reimplemented in TMatrixTSparse< Element >, TMatrixTSparse< Double_t >, TMatrixTSym< Element >, and TMatrixTSym< Double_t >.
Definition at line 216 of file TMatrixTBase.cxx.
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Definition at line 147 of file TMatrixTBase.h.
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Definition at line 146 of file TMatrixTBase.h.
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return maximum vector element value
Definition at line 609 of file TMatrixTBase.cxx.
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return minimum matrix element value
Definition at line 596 of file TMatrixTBase.cxx.
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Definition at line 1086 of file TMatrixTBase.cxx.
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Compute the number of elements != 0.0.
Reimplemented in TMatrixTSparse< Element >, and TMatrixTSparse< Double_t >.
Definition at line 562 of file TMatrixTBase.cxx.
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Definition at line 178 of file TMatrixTBase.h.
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option:
Reimplemented in TMatrixTSparse< Double_t >, and TMatrixTSparse< Element >.
Definition at line 436 of file TMatrixTBase.cxx.
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Definition at line 177 of file TMatrixTBase.h.
Bool_t TMatrixTBase< Element >::operator!= | ( | Element | val | ) | const |
Are all matrix elements not equal to val?
Definition at line 713 of file TMatrixTBase.cxx.
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Bool_t TMatrixTBase< Element >::operator< | ( | Element | val | ) | const |
Are all matrix elements < val?
Definition at line 733 of file TMatrixTBase.cxx.
Bool_t TMatrixTBase< Element >::operator<= | ( | Element | val | ) | const |
Are all matrix elements <= val?
Definition at line 750 of file TMatrixTBase.cxx.
Bool_t TMatrixTBase< Element >::operator== | ( | Element | val | ) | const |
Are all matrix elements equal to val?
Definition at line 693 of file TMatrixTBase.cxx.
Bool_t TMatrixTBase< Element >::operator> | ( | Element | val | ) | const |
Are all matrix elements > val?
Definition at line 767 of file TMatrixTBase.cxx.
Bool_t TMatrixTBase< Element >::operator>= | ( | Element | val | ) | const |
Are all matrix elements >= val?
Definition at line 784 of file TMatrixTBase.cxx.
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Print the matrix as a table of elements.
By default the format "%11.4g" is used to print one element. One can specify an alternative format with eg option ="f= %6.2f "
Reimplemented from TObject.
Definition at line 636 of file TMatrixTBase.cxx.
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Randomize matrix element values.
Reimplemented in TMatrixTSparse< Double_t >, TMatrixTSym< Double_t >, TMatrixTSparse< Element >, and TMatrixTSym< Element >.
Definition at line 836 of file TMatrixTBase.cxx.
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pure virtual |
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Row matrix norm, MAX{ SUM{ |M(i,j)|, over j}, over i}.
The norm is induced by the infinity vector norm.
Reimplemented in TMatrixTSparse< Element >, and TMatrixTSparse< Double_t >.
Definition at line 490 of file TMatrixTBase.cxx.
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Copy array data to matrix .
It is assumed that array is of size >= fNelems (=)))) fNrows*fNcols option indicates how the data is stored in the array: option =
Reimplemented in TMatrixTSparse< Double_t >, TMatrixTSparse< Element >, and TMatrixTSym< Element >.
Definition at line 188 of file TMatrixTBase.cxx.
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pure virtual |
Implemented in TMatrixT< AReal >, TMatrixT< Double_t >, TMatrixT< Element >, TMatrixTSparse< Element >, and TMatrixTSym< Element >.
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Definition at line 220 of file TMatrixTBase.h.
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Shift the row index by adding row_shift and the column index by adding col_shift, respectively.
So [rowLwb..rowUpb][colLwb..colUpb] becomes [rowLwb+row_shift..rowUpb+row_shift][colLwb+col_shift..colUpb+col_shift]
Reimplemented in TMatrixTSym< Element >, and TMatrixTSym< Double_t >.
Definition at line 339 of file TMatrixTBase.cxx.
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Square each element of the matrix.
Definition at line 381 of file TMatrixTBase.cxx.
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Take square root of all elements.
Definition at line 399 of file TMatrixTBase.cxx.
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Compute sum of elements.
Definition at line 579 of file TMatrixTBase.cxx.
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Make a unit matrix (matrix need not be a square one).
Reimplemented in TMatrixTSparse< Element >, and TMatrixTSparse< Double_t >.
Definition at line 417 of file TMatrixTBase.cxx.
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Set matrix elements to zero.
Reimplemented in TMatrixTSparse< Element >, and TMatrixTSparse< Double_t >.
Definition at line 351 of file TMatrixTBase.cxx.
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Definition at line 94 of file TMatrixTBase.h.
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Definition at line 101 of file TMatrixTBase.h.
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Definition at line 92 of file TMatrixTBase.h.
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Definition at line 95 of file TMatrixTBase.h.
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Definition at line 96 of file TMatrixTBase.h.
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Definition at line 91 of file TMatrixTBase.h.
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Definition at line 93 of file TMatrixTBase.h.
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Definition at line 98 of file TMatrixTBase.h.