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We point out that the Hermitian and anti-Hermitian components of theeffective Hamiltonian for decaying neutrinos cannot be simultaneouslydiagonalized by unitary transformations for all matter densities. We develop aformalism for the two-flavor neutrino propagation through matter of uniformdensity, for neutrino decay to invisible states. Employing a resummation of theZassenhaus expansion, we obtain compact analytic expressions for neutrinosurvival and conversion probabilities, to first and second order in the"mismatch parameter" $\bar{\gamma}$.

Neutrino propagation when mass eigenstates and decay eigenstates mismatch