Template class of a general matrix in the linear algebra package
See MatrixPage for the documentation of the linear algebra package
Definition at line 39 of file TMatrixT.h.
Public Types | |
enum | { kWorkMax = 100 } |
enum | EMatrixCreatorsOp1 { kZero, kUnit, kTransposed, kInverted, kAtA } |
enum | EMatrixCreatorsOp2 { kMult, kTransposeMult, kInvMult, kMultTranspose, kPlus, kMinus } |
Public Member Functions | |
TMatrixT () | |
TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. More... | |
TMatrixT (const TMatrixT< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. More... | |
TMatrixT (const TMatrixT< Element > &another) | |
Copy constructor. More... | |
template<class Element2 > | |
TMatrixT (const TMatrixT< Element2 > &another) | |
TMatrixT (const TMatrixTLazy< Element > &lazy_constructor) | |
Constructor using the TMatrixTLazy class. More... | |
TMatrixT (const TMatrixTSparse< Element > &another) | |
Copy constructor of a sparse matrix. More... | |
TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixT< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. More... | |
TMatrixT (const TMatrixTSym< Element > &a, EMatrixCreatorsOp2 op, const TMatrixTSym< Element > &b) | |
Constructor of matrix applying a specific operation to two prototypes. More... | |
TMatrixT (const TMatrixTSym< Element > &another) | |
Copy constructor of a symmetric matrix. More... | |
TMatrixT (EMatrixCreatorsOp1 op, const TMatrixT< Element > &prototype) | |
Constructor of matrix applying a specific operation to the prototype. More... | |
TMatrixT (Int_t nrows, Int_t ncols) | |
Constructor for (nrows x ncols) matrix. More... | |
TMatrixT (Int_t nrows, Int_t ncols, const Element *data, Option_t *option="") | |
option="F": array elements contains the matrix stored column-wise like in Fortran, so a[i,j] = elements[i+no_rows*j], else it is supposed that array elements are stored row-wise a[i,j] = elements[i*no_cols+j] More... | |
TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb) | |
Constructor for ([row_lwb..row_upb] x [col_lwb..col_upb]) matrix. More... | |
TMatrixT (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element *data, Option_t *option="") | |
array elements are copied More... | |
virtual | ~TMatrixT () |
TClass * | Class () |
virtual void | Clear (Option_t *="") |
virtual Double_t | Determinant () const |
Return the matrix determinant. More... | |
virtual void | Determinant (Double_t &d1, Double_t &d2) const |
Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2) More... | |
const TMatrixT< Element > | EigenVectors (TVectorT< Element > &eigenValues) const |
Return a matrix containing the eigen-vectors ordered by descending values of Re^2+Im^2 of the complex eigen-values . More... | |
virtual Int_t * | GetColIndexArray () |
virtual const Int_t * | GetColIndexArray () const |
virtual Element * | GetMatrixArray () |
virtual const Element * | GetMatrixArray () const |
virtual Int_t * | GetRowIndexArray () |
virtual const Int_t * | GetRowIndexArray () const |
TMatrixT< Element > | GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Option_t *option="S") const |
virtual TMatrixTBase< Element > & | GetSub (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, TMatrixTBase< Element > &target, Option_t *option="S") const |
Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option: More... | |
TMatrixT< Element > & | Invert (Double_t *det=0) |
Invert the matrix and calculate its determinant. More... | |
TMatrixT< Element > & | InvertFast (Double_t *det=0) |
Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used . More... | |
void | Minus (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix summation. Create a matrix C such that C = A - B. More... | |
void | Minus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
General matrix summation. Create a matrix C such that C = A - B. More... | |
void | Minus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
void | Mult (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix multiplication. Create a matrix C such that C = A * B. More... | |
void | Mult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
Matrix multiplication, with A general and B symmetric. More... | |
void | Mult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
Matrix multiplication, with A symmetric and B general. More... | |
void | Mult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
Matrix multiplication, with A symmetric and B symmetric. More... | |
void | MultT (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix multiplication. Create a matrix C such that C = A * B^T. More... | |
void | MultT (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
void | MultT (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
Matrix multiplication, with A symmetric and B general. More... | |
void | MultT (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
TMatrixT< Element > & | NormByColumn (const TVectorT< Element > &v, Option_t *option="D") |
Multiply/divide matrix columns by a vector: option: "D" : b(i,j) = a(i,j)/v(i) i = 0,fNrows-1 (default) else : b(i,j) = a(i,j)*v(i) More... | |
TMatrixT< Element > & | NormByRow (const TVectorT< Element > &v, Option_t *option="D") |
Multiply/divide matrix rows with a vector: option: "D" : b(i,j) = a(i,j)/v(j) i = 0,fNcols-1 (default) else : b(i,j) = a(i,j)*v(j) More... | |
Element & | operator() (Int_t rown, Int_t coln) |
Element | operator() (Int_t rown, Int_t coln) const |
TMatrixT< Element > & | operator*= (const TMatrixT< Element > &source) |
Compute target = target * source inplace. More... | |
TMatrixT< Element > & | operator*= (const TMatrixTColumn_const< Element > &col) |
Multiply a matrix by the column of another matrix matrix(i,j) *= another(i,k) for fixed k. More... | |
TMatrixT< Element > & | operator*= (const TMatrixTDiag_const< Element > &diag) |
Multiply a matrix row by the diagonal of another matrix matrix(i,j) *= diag(j), j=0,fNcols-1. More... | |
TMatrixT< Element > & | operator*= (const TMatrixTRow_const< Element > &row) |
Multiply a matrix by the row of another matrix matrix(i,j) *= another(k,j) for fixed k. More... | |
TMatrixT< Element > & | operator*= (const TMatrixTSym< Element > &source) |
Compute target = target * source inplace. More... | |
TMatrixT< Element > & | operator*= (Element val) |
Multiply every element of the matrix with val. More... | |
TMatrixT< Element > & | operator+= (const TMatrixT< Element > &source) |
Add the source matrix. More... | |
TMatrixT< Element > & | operator+= (const TMatrixTSym< Element > &source) |
Add the source matrix. More... | |
TMatrixT< Element > & | operator+= (Element val) |
Add val to every element of the matrix. More... | |
TMatrixT< Element > & | operator-= (const TMatrixT< Element > &source) |
Subtract the source matrix. More... | |
TMatrixT< Element > & | operator-= (const TMatrixTSym< Element > &source) |
Subtract the source matrix. More... | |
TMatrixT< Element > & | operator-= (Element val) |
Subtract val from every element of the matrix. More... | |
TMatrixT< Element > & | operator/= (const TMatrixTColumn_const< Element > &col) |
Divide a matrix by the column of another matrix matrix(i,j) /= another(i,k) for fixed k. More... | |
TMatrixT< Element > & | operator/= (const TMatrixTDiag_const< Element > &diag) |
Divide a matrix row by the diagonal of another matrix matrix(i,j) /= diag(j) More... | |
TMatrixT< Element > & | operator/= (const TMatrixTRow_const< Element > &row) |
Divide a matrix by the row of another matrix matrix(i,j) /= another(k,j) for fixed k. More... | |
TMatrixT< Element > & | operator= (const TMatrixT< Element > &source) |
Assignment operator. More... | |
template<class Element2 > | |
TMatrixT< Element > & | operator= (const TMatrixT< Element2 > &source) |
TMatrixT< Element > & | operator= (const TMatrixTLazy< Element > &source) |
Assignment operator. More... | |
TMatrixT< Element > & | operator= (const TMatrixTSparse< Element > &source) |
Assignment operator. More... | |
TMatrixT< Element > & | operator= (const TMatrixTSym< Element > &source) |
Assignment operator. More... | |
TMatrixT< Element > & | operator= (Element val) |
Assign val to every element of the matrix. More... | |
TMatrixTRow< Element > | operator[] (Int_t rown) |
const TMatrixTRow_const< Element > | operator[] (Int_t rown) const |
void | Plus (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
General matrix summation. Create a matrix C such that C = A + B. More... | |
void | Plus (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
General matrix summation. Create a matrix C such that C = A + B. More... | |
void | Plus (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
TMatrixT< Element > & | Rank1Update (const TVectorT< Element > &v, Element alpha=1.0) |
Perform a rank 1 operation on matrix A: A += alpha * v * v^T. More... | |
TMatrixT< Element > & | Rank1Update (const TVectorT< Element > &v1, const TVectorT< Element > &v2, Element alpha=1.0) |
Perform a rank 1 operation on matrix A: A += alpha * v1 * v2^T. More... | |
TMatrixTBase< Element > & | ResizeTo (const TMatrixT< Element > &m) |
virtual TMatrixTBase< Element > & | ResizeTo (Int_t nrows, Int_t ncols, Int_t=-1) |
Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More... | |
virtual TMatrixTBase< Element > & | ResizeTo (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Int_t=-1) |
Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted. More... | |
virtual TMatrixTBase< Element > & | SetColIndexArray (Int_t *) |
virtual TMatrixTBase< Element > & | SetRowIndexArray (Int_t *) |
virtual TMatrixTBase< Element > & | SetSub (Int_t row_lwb, Int_t col_lwb, const TMatrixTBase< Element > &source) |
Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];. More... | |
Element | Similarity (const TVectorT< Element > &v) const |
Calculate scalar v * (*this) * v^T. More... | |
TMatrixT< Element > & | T () |
void | TMult (const TMatrixT< Element > &a, const TMatrixT< Element > &b) |
Create a matrix C such that C = A' * B. More... | |
void | TMult (const TMatrixT< Element > &a, const TMatrixTSym< Element > &b) |
Create a matrix C such that C = A' * B. More... | |
void | TMult (const TMatrixTSym< Element > &a, const TMatrixT< Element > &b) |
void | TMult (const TMatrixTSym< Element > &a, const TMatrixTSym< Element > &b) |
TMatrixT< Element > & | Transpose (const TMatrixT< Element > &source) |
Transpose matrix source. More... | |
const TMatrixT< Element > & | Use (const TMatrixT< Element > &a) const |
const TMatrixT< Element > & | Use (Int_t nrows, Int_t ncols, const Element *data) const |
TMatrixT< Element > & | Use (Int_t nrows, Int_t ncols, Element *data) |
const TMatrixT< Element > & | Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, const Element *data) const |
TMatrixT< Element > & | Use (Int_t row_lwb, Int_t row_upb, Int_t col_lwb, Int_t col_upb, Element *data) |
Use the array data to fill the matrix ([row_lwb..row_upb] x [col_lwb..col_upb]) More... | |
TMatrixT< Element > & | Use (TMatrixT< Element > &a) |
Protected Member Functions | |
void | Allocate (Int_t nrows, Int_t ncols, Int_t row_lwb=0, Int_t col_lwb=0, Int_t init=0, Int_t=-1) |
Allocate new matrix. More... | |
void | Delete_m (Int_t size, Element *&) |
Delete data pointer m, if it was assigned on the heap. More... | |
Int_t | Memcpy_m (Element *newp, const Element *oldp, Int_t copySize, Int_t newSize, Int_t oldSize) |
Copy copySize doubles from *oldp to *newp . More... | |
Element * | New_m (Int_t size) |
Return data pointer . More... | |
Protected Attributes | |
Element | fDataStack [TMatrixTBase< Element >::kSizeMax] |
Element * | fElements |
data container More... | |
#include <TMatrixT.h>
anonymous enum |
Enumerator | |
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kWorkMax |
Definition at line 57 of file TMatrixT.h.
enum TMatrixT::EMatrixCreatorsOp1 |
Enumerator | |
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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.
Definition at line 61 of file TMatrixT.h.
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.
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.
Definition at line 120 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.
Definition at line 1362 of file TMatrixT.cxx.
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virtual |
Return the matrix determinant as d1,d2 where det = d1*TMath::Power(2.0,d2)
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.
Definition at line 115 of file TMatrixT.h.
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inlinevirtual |
Definition at line 114 of file TMatrixT.h.
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inlinevirtual |
Definition at line 223 of file TMatrixT.h.
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inlinevirtual |
Definition at line 222 of file TMatrixT.h.
Definition at line 113 of file TMatrixT.h.
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inlinevirtual |
Definition at line 112 of file TMatrixT.h.
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inline |
Definition at line 242 of file TMatrixT.h.
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virtual |
Get submatrix [row_lwb..row_upb] x [col_lwb..col_upb]; The indexing range of the returned matrix depends on the argument option:
option == "S" : return [0..row_upb-row_lwb][0..col_upb-col_lwb] (default) else : return [row_lwb..row_upb][col_lwb..col_upb]
Definition at line 1090 of file TMatrixT.cxx.
Invert the matrix and calculate its determinant.
Definition at line 1397 of file TMatrixT.cxx.
TMatrixT< Element > & TMatrixT< Element >::InvertFast | ( | Double_t * | det = 0 | ) |
Invert the matrix and calculate its determinant, however upto (6x6) a fast Cramer inversion is used .
Definition at line 1411 of file TMatrixT.cxx.
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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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inline |
Definition at line 267 of file TMatrixT.h.
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inline |
Definition at line 250 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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Definition at line 170 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 164 of file TMatrixT.h.
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Definition at line 163 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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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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Definition at line 140 of file TMatrixT.h.
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Set size of the matrix to nrows x ncols New dynamic elements are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.
Definition at line 1211 of file TMatrixT.cxx.
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Set size of the matrix to [row_lwb:row_upb] x [col_lwb:col_upb] New dynamic elemenst are created, the overlapping part of the old ones are copied to the new structures, then the old elements are deleted.
Definition at line 1276 of file TMatrixT.cxx.
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Definition at line 118 of file TMatrixT.h.
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Definition at line 117 of file TMatrixT.h.
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Insert matrix source starting at [row_lwb][col_lwb], thereby overwriting the part [row_lwb..row_lwb+nrows_source][col_lwb..col_lwb+ncols_source];.
Definition at line 1157 of file TMatrixT.cxx.
Element TMatrixT< Element >::Similarity | ( | const TVectorT< Element > & | v | ) | const |
Calculate scalar v * (*this) * v^T.
Definition at line 1602 of file TMatrixT.cxx.
Definition at line 150 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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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 235 of file TMatrixT.h.
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Definition at line 227 of file TMatrixT.h.
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Definition at line 225 of file TMatrixT.h.
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Definition at line 125 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 229 of file TMatrixT.h.
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Definition at line 43 of file TMatrixT.h.
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data container
Definition at line 44 of file TMatrixT.h.