Class : RealAntisymmetricMatrix
RealAntisymmetricMatrix :
prototype: RealAntisymmetricMatrix ()
description:default constructor
RealAntisymmetricMatrix :
prototype: RealAntisymmetricMatrix (int , bool zero = false )
description:constructor for an empty matrix
input parameters:
dimension = matrix dimension
zero = true if matrix has to be filled with zeros
RealAntisymmetricMatrix :
prototype: RealAntisymmetricMatrix (double* , int dimension )
description:constructor from matrix elements (without duplicating datas)
input parameters:
upperDiagonal = pointer to upper-diagonal element array (with real part in even position and imaginary part in odd position)
dimension = matrix dimension
RealAntisymmetricMatrix :
prototype: RealAntisymmetricMatrix (const RealAntisymmetricMatrix& M )
description:copy constructor (without duplicating datas)
input parameters:
M = matrix to copy
~RealAntisymmetricMatrix :
prototype: ~RealAntisymmetricMatrix ()
description:destructor
operator = :
prototype: RealAntisymmetricMatrix& operator = (const RealAntisymmetricMatrix& M )
description:assignement (without duplicating datas)
input parameters:
M = matrix to copy
return value: reference on modified matrix
Clone :
prototype: Matrix* Clone ()
description:return pointer on a clone matrix (without duplicating datas)
input parameters:
retrun value = pointer on new matrix
SetMatrixElement :
prototype: void SetMatrixElement (int , int , double x )
description:set a matrix element
input parameters:
i = line position
j = column position
x = new value for matrix element
SetMatrixElement :
prototype: void SetMatrixElement (int , int , const Complex& x )
description:set a matrix element
input parameters:
i = line position
j = column position
x = new value for matrix element
AddToMatrixElement :
prototype: void AddToMatrixElement (int , int , double x )
description:add a value to a matrix element
input parameters:
i = line position
j = column position
x = value to add to matrix element
AddToMatrixElement :
prototype: void AddToMatrixElement (int , int , const Complex& x )
description:add a value a matrix element
input parameters:
i = line position
j = column position
x = value to add to matrix element
operator :
prototype: double& operator ( )
description:get reference of a given matrix element supposing i < j
input parameters:
i = line position
j = column position
return value: reference om matrix elememt
Resize :
prototype: void Resize (int , int nbrColumn )
description:Resize matrix
input parameters:
nbrRow = new number of rows
nbrColumn = new number of columns
ResizeAndClean :
prototype: void ResizeAndClean (int , int nbrColumn )
description:Resize matrix and set to zero all elements that have been added
input parameters:
nbrRow = new number of rows
nbrColumn = new number of columns
Project :
prototype: Matrix* Project (SubspaceSpaceConverter& subspace )
description:project matrix into a given subspace
input parameters:
subspace = reference on subspace structure
return value: pointer to projected matrix
operator + :
prototype: friend RealAntisymmetricMatrix operator + (const RealAntisymmetricMatrix& ,
const RealAntisymmetricMatrix& M2 )
description:add two matrices
input parameters:
M1 = first matrix
M2 = second matrix
return value: sum of the two matrices
operator - :
prototype: friend RealAntisymmetricMatrix operator - (const RealAntisymmetricMatrix& ,
const RealAntisymmetricMatrix& M2 )
description:substract two matrices
input parameters:
M1 = first matrix
M2 = matrix to substract to M1
return value: difference of the two matrices
operator * :
prototype: friend RealAntisymmetricMatrix operator * (const RealAntisymmetricMatrix& , double x )
description:multiply a matrix by a real number (right multiplication)
input parameters:
M = source matrix
x = real number to use
return value: product result
operator * :
prototype: friend RealAntisymmetricMatrix operator * (double , const RealAntisymmetricMatrix& M )
description:multiply a matrix by a real number (left multiplication)
input parameters:
M = source matrix
x = real number to use
return value: product result
operator / :
prototype: friend RealAntisymmetricMatrix operator / (const RealAntisymmetricMatrix& , double x )
description:divide a matrix by a real number (right multiplication)
input parameters:
M = source matrix
x = real number to use
return value: division result
operator += :
prototype: RealAntisymmetricMatrix& operator += (const RealAntisymmetricMatrix& M )
description:add two matrices
input parameters:
M = matrix to add to current matrix
return value: reference on current matrix
operator -= :
prototype: RealAntisymmetricMatrix& operator -= (const RealAntisymmetricMatrix& M )
description:substract two matrices
input parameters:
M = matrix to substract to current matrix
return value: reference on current matrix
operator *= :
prototype: RealAntisymmetricMatrix& operator *= (double x )
description:multiply a matrix by a real number
input parameters:
x = real number to use
return value: reference on current matrix
operator /= :
prototype: RealAntisymmetricMatrix& operator /= (double x )
description:divide a matrix by a real number
input parameters:
x = real number to use
return value: reference on current matrix
MatrixElement :
prototype: double MatrixElement (RealVector& , RealVector& V2 )
description:evaluate matrix element
input parameters:
V1 = vector to left multiply with current matrix
V2 = vector to right multiply with current matrix
return value: corresponding matrix element
Conjugate :
prototype: Matrix* Conjugate (RealMatrix& UnitaryM )
description:conjugate a matrix with an unitary real matrix (Ut M U)
input parameters:
UnitaryM = unitary matrix to use
return value: pointer to conjugated matrix
Conjugate :
prototype: Matrix* Conjugate (BlockDiagonalMatrix& UnitaryM )
description:conjugate a matrix with an unitary block-diagonal matrix (Ut M U)
input parameters:
UnitaryM = unitary matrix to use
return value: pointer to conjugated matrix
Conjugate :
prototype: void Conjugate (RealMatrix& , int , int , RealAntisymmetricMatrix& matrix )
description:conjugate a block of the matrix with an unitary matrix (Ut M U)
input parameters:
UnitaryM = unitary matrix to use
sourcePosition = index of the row where the block to conjugate starts
destinationPosition = index of the row where the conjugated block has to be stored
matrix = matrix where result has to be stored
Conjugate :
prototype: void Conjugate (RealMatrix& , RealMatrix& , int ,
int , int , int , RealAntisymmetricMatrix& matrix )
description:conjugate a block of the matrix (in the upper diagonal part) with two matrix matrix (Vt M U)
input parameters:
UnitaryMl = unitary matrix to use at the left hand side
UnitaryMr = unitary matrix to use at the right hand side
sourceRowIndex = index of the row where the block to conjugate starts
sourceColumnIndex = index of the column where the block to conjugate starts
destinationRowIndex = index of the row where the conjugated block has to be stored
destinationColumnIndex = index of the column where the conjugated block has to be stored
matrix = matrix where result has to be stored
Tr :
prototype: double Tr ()
description:evaluate matrix trace
input parameters:
return value: matrix trace
Det :
prototype: double Det ()
description:evaluate matrix determinant
input parameters:
return value: matrix determinant
operator << :
prototype: friend ostream& operator << (ostream& , const RealAntisymmetricMatrix& P )
description:Output Stream overload
input parameters:
Str = reference on output stream
P = matrix to print
return value: reference on output stream
operator << :
prototype: friend MathematicaOutput& operator << (MathematicaOutput& , const RealAntisymmetricMatrix& P )
description:Mathematica Output Stream overload
input parameters:
Str = reference on Mathematica output stream
P = matrix to print
return value: reference on output stream
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