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Compute the canonical form of an antisymmetric matrix.
openfermion.ops.antisymmetric_canonical_form(
antisymmetric_matrix
)
The input is a real, antisymmetric n x n matrix A, where n is even. Its canonical form is::
A = R^T C R
where R is a real, orthogonal matrix and C has the form::
[ 0 D ]
[ -D 0 ]
where D is a diagonal matrix with nonnegative entries.
Args | |
|---|---|
antisymmetric_matrix
|
ndarray
An antisymmetric matrix with even dimension. |
Returns | |
|---|---|
canonical
|
ndarray
The canonical form C of antisymmetric_matrix |
orthogonal
|
ndarray
The orthogonal transformation R. |