# HermitianMatrix¶

class HermitianMatrix(*args)

Hermitian Matrix.

Available constructors:

HermitianMatrix(dim)

Parameters:
diminteger

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

 Check if the internal representation is really hermitian. clean(threshold) Clean the matrix according to a specific threshold. computeCholesky([keepIntact]) Compute the Cholesky factor. Accessor to the conjugate complex matrix. Accessor to the transposed conjugate complex matrix. Accessor to the object's name. Accessor to the matrix dimension. Accessor to the object's id. Accessor to the underlying implementation. Accessor to the object's name. Accessor to the number of columns. Accessor to the number of rows. Accessor to the imaginary part. Test whether the matrix is empty or not. Accessor to the real part. setName(name) Accessor to the object's name. Accessor to the transposed complex matrix.
 solveLinearSystem solveLinearSystemInPlace
__init__(*args)
checkHermitian()

Check if the internal representation is really hermitian.

clean(threshold)

Clean the matrix according to a specific threshold.

Parameters:
thresholdpositive float

Numerical sample which is the collection of points stored by the history strategy.

computeCholesky(keepIntact=True)

Compute the Cholesky factor.

Returns:
GComplexMatrix

The Cholesky factor , i.e. the complex matrix such as is the initial matrix.

conjugate()

Accessor to the conjugate complex matrix.

Returns:
NComplexMatrix

The conjugate matrix of size associated with the given complex matrix such as .

conjugateTranspose()

Accessor to the transposed conjugate complex matrix.

Returns:
NComplexMatrix

The transposed conjugate matrix of size associated with the given complex matrix such as .

getClassName()

Accessor to the object’s name.

Returns:
class_namestr

The object class name (object.__class__.__name__).

getDimension()

Accessor to the matrix dimension.

Returns:
diminteger

The dimension of the Hermitian matrix.

getId()

Accessor to the object’s id.

Returns:
idint

Internal unique identifier.

getImplementation()

Accessor to the underlying implementation.

Returns:
implImplementation

A copy of the underlying implementation object.

getName()

Accessor to the object’s name.

Returns:
namestr

The name of the object.

getNbColumns()

Accessor to the number of columns.

Returns:
ncinteger

The number of columns of .

getNbRows()

Accessor to the number of rows.

Returns:
nrinteger

The number of rows of .

imag()

Accessor to the imaginary part.

Returns:
imatMatrix

A real matix of size such .

isEmpty()

Test whether the matrix is empty or not.

Returns:
isEmptybool

Flag telling whether the dimensions of the matrix is zero.

real()

Accessor to the real part.

Returns:
rmatMatrix

A real matix of size such .

setName(name)

Accessor to the object’s name.

Parameters:
namestr

The name of the object.

transpose()

Accessor to the transposed complex matrix.

Returns:
NComplexMatrix

The transposed matrix of size associated with the given complex matrix such as .

## Examples using the class¶

Create a spectral model

Create a spectral model