  We prove a new formula for the Hirzebruch-Milnor classes of global complete
intersections with arbitrary singularities describing the difference between
the Hirzebruch classes and the virtual ones. This generalizes a formula for the
Chern-Milnor classes in the hypersurface case that was conjectured by S. Yokura
and was proved by A. Parusinski and P. Pragacz. It also generalizes a formula
of J. Seade and T. Suwa for the Chern-Milnor classes of complete intersections
with isolated singularities.
