gftool.beb.SpecDec

class gftool.beb.SpecDec(rv: np.ndarray, eig: np.ndarray, rv_inv: np.ndarray)

SVD like spectral decomposition.

Works only for N×N matrices unlike the UDecomposition base class.

__init__(rv: np.ndarray, eig: np.ndarray, rv_inv: np.ndarray) → None

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

Methods

__init__(rv, eig, rv_inv)	Initialize self.
count(value)
from_gf(gf)	Decompose the inverse Green’s function matrix.
from_hamiltonian(hamilton)	Decompose the Hamiltonian matrix.
index(value, [start, [stop]])	Raises ValueError if the value is not present.
partition([return_sqrts])	Symmetrically partition the spectral decomposition as u * eig**0.5, eig**0.5 * uh.
reconstruct([eig, kind])	Get matrix back from Decomposition.
truncate([rcond])	Return the truncated spectral decomposition.

Attributes

eig	The vector of eigenvalues.
is_trunacted	Check if SVD of square matrix is truncated/compact or full.
rv	The matrix of right eigenvectors.
rv_inv	The inverse of rv.
s	Singular values in descending order, different from order of eig.
u	Unitary matrix of right eigenvectors, same as rv.
uh	Hermitian conjugate of unitary matrix rv, same as rv_inv.