pyFM.mesh.laplacian.laplacian_spectrum

pyFM.mesh.laplacian.laplacian_spectrum(W, A, spectrum_size=200)

Solve the generalized eigenvalue problem W @ x = lambda * A @ x.

Change solver if necessary.

Parameters:

  • W ((n, n) scipy.sparse) – Sparse matrix of cotangent weights.

  • A ((n, n) scipy.sparse) – Sparse matrix of area weights.

  • spectrum_size (int) – Number of eigenvalues to compute.

Returns:

  • eigenvalues ((spectrum_size,) np.ndarray) – Array of eigenvalues.

  • eigenvectors ((n, spectrum_size) np.ndarray) – Array of eigenvectors.