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Public Member Functions | Related Functions | List of all members
acl::MatrixOfElements Class Reference
Complex Data Types

The class represents a matrix elements of Element. More...

#include <aclMatrixOfElements.h>

Public Member Functions

 MatrixOfElements (unsigned int nR=0, unsigned int nC=0)
 
void setElement (unsigned int r, unsigned int c, Element a)
 
void setRow (unsigned int r, const VectorOfElements &a)
 
void setColumn (unsigned int c, const VectorOfElements &a)
 
const Element getElement (unsigned int r, unsigned int c) const
 
const VectorOfElements getVE (unsigned int r, unsigned int c) const
 
const unsigned int getNColumns () const
 
const unsigned int getNRows () const
 
VectorOfElements & getInternalVector ()
 
const VectorOfElements & getInternalVector () const
 
void resize (unsigned int nr, unsigned int nc)
 
MatrixOfElements operator= (const MatrixOfElements &m)
 

Related Functions

(Note that these are not member functions.)

void copy (const MatrixOfElements &source, MatrixOfElements &destination)
 function copies the MatrixOfElements class. More...
 
MatrixOfElements operator+ (const MatrixOfElements &a, const MatrixOfElements &b)
 summ of two matrices More...
 
MatrixOfElements operator- (const MatrixOfElements &a, const MatrixOfElements &b)
 difference of two matrices More...
 
MatrixOfElements operator* (const MatrixOfElements &a, const MatrixOfElements &b)
 product of two matrices More...
 
VectorOfElements operator* (const VectorOfElements &a, const MatrixOfElements &b)
 product of vector and matrix More...
 
VectorOfElements operator* (const MatrixOfElements &a, const VectorOfElements &b)
 product of vector and matrix More...
 
MatrixOfElements operator/ (const MatrixOfElements &a, const VectorOfElements &b)
 division of a matrix on a VectorOfElements with 1 element More...
 
MatrixOfElements transpose (MatrixOfElements &source)
 transposed matrix More...
 
MatrixOfElements elementProduct (const VectorOfElements &a, const VectorOfElements &b)
 element product of two vectors More...
 
VectorOfElements trace (const MatrixOfElements &a)
 Trace of a matrix \(Tr(A)\equiv A_{ii}\). More...
 
VectorOfElements trace (const MatrixOfElements &a, const MatrixOfElements &b)
 Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\). More...
 
MatrixOfElements generateME (const VectorOfElements &a)
 generates a matrix with a row More...
 
MatrixOfElements generateME (const VectorOfElements &a, VectorOfElements &b)
 generates a matrix with two rows More...
 
MatrixOfElements generateME (const VectorOfElements &a, const VectorOfElements &b, const VectorOfElements &c)
 generates a matrix with three rows More...
 
MatrixOfElements generateME (const VectorOfElements *a, unsigned int n)
 generates a matrix with n rows \( generateME(\{u_i\}_j) = A_{ji}\) More...
 
MatrixOfElements generateME (const vector< VectorOfElements > &a)
 generates a matrix with n rows \( generateME(\{u_i\}_j) = A_{ji}\) More...
 
VectorOfElements getDiagonal (const MatrixOfElements &a)
 returns VectorOfElements containing the diagonal elements More...
 
VectorOfElements getOffDiagonalUp (const MatrixOfElements &a)
 returns VectorOfElements containing the uper off diagonal elements More...
 
VectorOfElements det (const MatrixOfElements &m)
 computes determinant expression fo cases 2x2 and 3x3 only More...
 
MatrixOfElements replaceRow (const MatrixOfElements &a, const VectorOfElements &b, unsigned int r)
 generate matrix with content of the matrix a but with replaced row r by vector b More...
 
MatrixOfElements replaceColumn (const MatrixOfElements &a, const VectorOfElements &b, unsigned int c)
 generate matrix with content of the matrix a but with replaced column c by vector b More...
 
MatrixOfElements generateMatrixCofactors (const MatrixOfElements &a)
 returns the matrix of cofactors for cases 2x2 and 3x3 More...
 
vector< Element > gcMatrixInversion (const MatrixOfElements &a, MatrixOfElements &inv)
 returns vector of elements for computing the inverse matrix for cases 2x2 and 3x3 More...
 

Detailed Description

The class represents a matrix elements of Element.

Definition at line 35 of file aclMatrixOfElements.h.

Constructor & Destructor Documentation

acl::MatrixOfElements::MatrixOfElements ( unsigned int  nR = 0,
unsigned int  nC = 0 
)
explicit

Member Function Documentation

const Element acl::MatrixOfElements::getElement ( unsigned int  r,
unsigned int  c 
) const
VectorOfElements& acl::MatrixOfElements::getInternalVector ( )
const VectorOfElements& acl::MatrixOfElements::getInternalVector ( ) const
const unsigned int acl::MatrixOfElements::getNColumns ( ) const
const unsigned int acl::MatrixOfElements::getNRows ( ) const
const VectorOfElements acl::MatrixOfElements::getVE ( unsigned int  r,
unsigned int  c 
) const
MatrixOfElements acl::MatrixOfElements::operator= ( const MatrixOfElements &  m)
void acl::MatrixOfElements::resize ( unsigned int  nr,
unsigned int  nc 
)
inline

Definition at line 213 of file aclMatrixOfElements.h.

void acl::MatrixOfElements::setColumn ( unsigned int  c,
const VectorOfElements &  a 
)
void acl::MatrixOfElements::setElement ( unsigned int  r,
unsigned int  c,
Element  a 
)
void acl::MatrixOfElements::setRow ( unsigned int  r,
const VectorOfElements &  a 
)

Friends And Related Function Documentation

void copy ( const MatrixOfElements &  source,
MatrixOfElements &  destination 
)
related

function copies the MatrixOfElements class.

VectorOfElements det ( const MatrixOfElements &  m)
related

computes determinant expression fo cases 2x2 and 3x3 only

MatrixOfElements elementProduct ( const VectorOfElements &  a,
const VectorOfElements &  b 
)
related

element product of two vectors

\( elementProduct\left( \left[\begin{array}{c} a_1\\ \vdots \\ a_n \end{array}\right], \left[\begin{array}{c} b_1\\ \vdots \\ b_n \end{array}\right]\right) = \left[\begin{array}{ccc} a_1b_1 & \cdots & a_1b_n\\ \vdots & \ddots & \vdots\\ a_nb_1 & \cdots & a_nb_n\\ \end{array}\right] \), \(A_{ij} = a_i b_j \)

vector< Element > gcMatrixInversion ( const MatrixOfElements &  a,
MatrixOfElements &  inv 
)
related

returns vector of elements for computing the inverse matrix for cases 2x2 and 3x3

MatrixOfElements generateMatrixCofactors ( const MatrixOfElements &  a)
related

returns the matrix of cofactors for cases 2x2 and 3x3

MatrixOfElements generateME ( const VectorOfElements &  a)
related

generates a matrix with a row

MatrixOfElements generateME ( const VectorOfElements &  a,
VectorOfElements &  b 
)
related

generates a matrix with two rows

MatrixOfElements generateME ( const VectorOfElements &  a,
const VectorOfElements &  b,
const VectorOfElements &  c 
)
related

generates a matrix with three rows

MatrixOfElements generateME ( const VectorOfElements *  a,
unsigned int  n 
)
related

generates a matrix with n rows \( generateME(\{u_i\}_j) = A_{ji}\)

MatrixOfElements generateME ( const vector< VectorOfElements > &  a)
related

generates a matrix with n rows \( generateME(\{u_i\}_j) = A_{ji}\)

VectorOfElements getDiagonal ( const MatrixOfElements &  a)
related

returns VectorOfElements containing the diagonal elements

the finction is valid only for square matrices

VectorOfElements getOffDiagonalUp ( const MatrixOfElements &  a)
related

returns VectorOfElements containing the uper off diagonal elements

the finction is valid only for square matrices

MatrixOfElements operator* ( const MatrixOfElements &  a,
const MatrixOfElements &  b 
)
related

product of two matrices

VectorOfElements operator* ( const VectorOfElements &  a,
const MatrixOfElements &  b 
)
related

product of vector and matrix

VectorOfElements operator* ( const MatrixOfElements &  a,
const VectorOfElements &  b 
)
related

product of vector and matrix

MatrixOfElements operator+ ( const MatrixOfElements &  a,
const MatrixOfElements &  b 
)
related

summ of two matrices

MatrixOfElements operator- ( const MatrixOfElements &  a,
const MatrixOfElements &  b 
)
related

difference of two matrices

MatrixOfElements operator/ ( const MatrixOfElements &  a,
const VectorOfElements &  b 
)
related

division of a matrix on a VectorOfElements with 1 element

MatrixOfElements replaceColumn ( const MatrixOfElements &  a,
const VectorOfElements &  b,
unsigned int  c 
)
related

generate matrix with content of the matrix a but with replaced column c by vector b

MatrixOfElements replaceRow ( const MatrixOfElements &  a,
const VectorOfElements &  b,
unsigned int  r 
)
related

generate matrix with content of the matrix a but with replaced row r by vector b

VectorOfElements trace ( const MatrixOfElements &  a)
related

Trace of a matrix \(Tr(A)\equiv A_{ii}\).

VectorOfElements trace ( const MatrixOfElements &  a,
const MatrixOfElements &  b 
)
related

Trace of a matrix product \(Tr(A B)\equiv A_{ij}B_{ji}\).

MatrixOfElements transpose ( MatrixOfElements &  source)
related

transposed matrix

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