def METHOD_NAME(
    linop_diag, linop_scaled_identity):
  return linear_operator_diag.LinearOperatorDiag(
      diag=linop_scaled_identity.multiplier / linop_diag.diag,
      is_non_singular=registrations_util.combined_non_singular_hint(
          linop_diag, linop_scaled_identity),
      is_self_adjoint=registrations_util.combined_commuting_self_adjoint_hint(
          linop_diag, linop_scaled_identity),
      is_positive_definite=(
          registrations_util.combined_commuting_positive_definite_hint(
              linop_diag, linop_scaled_identity)),
      is_square=True)