HermitianMatrix¶
- class HermitianMatrix(*args)¶
Hermitian Matrix.
- Available constructors:
HermitianMatrix(dim)
- Parameters:
- dimint
The dimension of the Hermitian matrix (square matrix with dim rows and dim columns).
See also
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.
Compute the Cholesky factor.
Compute the Cholesky factor in place.
Accessor to the conjugate complex matrix.
Accessor to the transposed conjugate complex matrix.
Accessor to the object's name.
Accessor to the matrix dimension.
getId
()Accessor to the object's id.
Accessor to the underlying implementation.
getName
()Accessor to the object's name.
Accessor to the number of columns.
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.
solveLinearSystem
(*args)Solve a system of linear equations.
solveLinearSystemInPlace
(*args)Solve a system of linear equations.
Accessor to the transposed complex matrix.
- __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()¶
Compute the Cholesky factor.
- Returns:
- G
ComplexMatrix
The Cholesky factor , i.e. the complex matrix such as is the initial matrix.
- G
- computeCholeskyInPlace()¶
Compute the Cholesky factor in place.
Similar to
computeCholesky()
but modifies the matrix in place to avoid a copy.
- conjugate()¶
Accessor to the conjugate complex matrix.
- Returns:
- N
ComplexMatrix
The conjugate matrix of size associated with the given complex matrix such as .
- N
- 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 .
- N
- getClassName()¶
Accessor to the object’s name.
- Returns:
- class_namestr
The object class name (object.__class__.__name__).
- getDimension()¶
Accessor to the matrix dimension.
- Returns:
- dimint
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:
- ncint
The number of columns of .
- getNbRows()¶
Accessor to the number of rows.
- Returns:
- nrint
The number of rows of .
- isEmpty()¶
Test whether the matrix is empty or not.
- Returns:
- isEmptybool
Flag telling whether the dimensions of the matrix is zero.
- setName(name)¶
Accessor to the object’s name.
- Parameters:
- namestr
The name of the object.
- solveLinearSystem(*args)¶
Solve a system of linear equations.
- Parameters:
- B
ComplexMatrix
Second member
- B
- Returns:
- X
ComplexMatrix
The solution to A * X = B.
- X
- solveLinearSystemInPlace(*args)¶
Solve a system of linear equations.
- Parameters:
- B
ComplexMatrix
Second member
- B
- Returns:
- X
ComplexMatrix
The solution to A * X = B.
- X
Notes
Unlike
solveLinearSystem()
this method does not copy the matrix A and alters it in-place during the resolution, so the content of A may change.
- transpose()¶
Accessor to the transposed complex matrix.
- Returns:
- N
ComplexMatrix
The transposed matrix of size associated with the given complex matrix such as .
- N