Module linxal::properties

Module for testing various matrix properties, such as being diagonal or unitary.

Most tests have a regular and a _tol version, which takes a specific tolerance. In the latter case, all floating-point comparisons are done within the tolerance. In the former case, a default tolerance is used (T::tol() for type T).

Functions

get_lower_bandwidth	Return the lower bandwidth of the matrix.
get_lower_bandwidth_tol	Return the lower bandwidth of the matrix, within the specified tolerance.
get_upper_bandwidth	Return the upper bandwidth of the matrix.
get_upper_bandwidth_tol	Return the upper bandwidth of the matrix, within the specified tolerance.
is_diagonal	Returns true iff the matrix is diagonal.
is_diagonal_tol	Returns true iff the matrix is diagonal, within a given tolerance.
is_identity	Returns true iff the matrix is an identity matrix.
is_identity_tol	Returns true iff the matrix is an identity matrix, within a given tolerance.
is_symmetric	Return true iff the matrix if Hermitian (or symmetric in the real case).
is_symmetric_tol	Return true iff the matrix if Hermitian (or symmetric in the real case), within a given tolerance.
is_triangular	Return true iff the matrix is triangular / trapezoidal, with the side specified by uplo.
is_triangular_tol	Return true iff the matrix is triangular / trapezoidal, with the side specified by uplo.
is_unitary	Return true iff the matrix is unitary
is_unitary_tol	Return true iff the matrix is unitary, within tolerance.