# HermitianMatrix¶

class HermitianMatrix(*args)

Hermitian Matrix.

Available constructors:
HermitianMatrix(dim)
Parameters: dim : integer The dimension of the Hermitian matrix (square matrix with dim rows and dim columns).

Notes

The Hermitian matrix is filled with . It is not possible to fill the matrix from a collection of complex values (to be done later).

Methods

 checkHermitian() Check if the internal representation is really hermitian. clean(threshold) Clean the matrix according to a specific threshold. computeCholesky([keepIntact]) Compute the Cholesky factor. conjugate() Accessor to the conjugate complex matrix. conjugateTranspose() Accessor to the transposed conjugate complex matrix. getClassName() Accessor to the object’s name. getDimension() Accessor to the matrix dimension. getId() Accessor to the object’s id. getImplementation(*args) Accessor to the underlying implementation. getName() Accessor to the object’s name. getNbColumns() Accessor to the number of columns. getNbRows() Accessor to the number of rows. imag() Accessor to the imaginary part. isEmpty() Test whether the matrix is empty or not. real() Accessor to the real part. setName(name) Accessor to the object’s name. transpose() Accessor to the transposed complex matrix.
 solveLinearSystem
__init__(*args)

Initialize self. See help(type(self)) for accurate signature.

checkHermitian()

Check if the internal representation is really hermitian.

clean(threshold)

Clean the matrix according to a specific threshold.

Parameters: threshold : positive float Numerical sample which is the collection of points stored by the history strategy.
computeCholesky(keepIntact=True)

Compute the Cholesky factor.

Returns: G : ComplexMatrix The Cholesky factor , i.e. the complex matrix such as is the initial matrix.
conjugate()

Accessor to the conjugate complex matrix.

Returns: N : ComplexMatrix The conjugate matrix of size associated with the given complex matrix such as .
conjugateTranspose()

Accessor to the transposed conjugate complex matrix.

Returns: N : ComplexMatrix The transposed conjugate matrix of size associated with the given complex matrix such as .
getClassName()

Accessor to the object’s name.

Returns: class_name : str The object class name (object.__class__.__name__).
getDimension()

Accessor to the matrix dimension.

Returns: dim : integer The dimension of the Hermitian matrix.
getId()

Accessor to the object’s id.

Returns: id : int Internal unique identifier.
getImplementation(*args)

Accessor to the underlying implementation.

Returns: impl : Implementation The implementation class.
getName()

Accessor to the object’s name.

Returns: name : str The name of the object.
getNbColumns()

Accessor to the number of columns.

Returns: nc : integer The number of columns of .
getNbRows()

Accessor to the number of rows.

Returns: nr : integer The number of rows of .
imag()

Accessor to the imaginary part.

Returns: imat : Matrix A real matix of size such .
isEmpty()

Test whether the matrix is empty or not.

Returns: isEmpty : bool Flag telling whether the dimensions of the matrix is zero.
real()

Accessor to the real part.

Returns: rmat : Matrix A real matix of size such .
setName(name)

Accessor to the object’s name.

Parameters: name : str The name of the object.
transpose()

Accessor to the transposed complex matrix.

Returns: N : ComplexMatrix The transposed matrix of size associated with the given complex matrix such as .