  A set of coupled conditions consisting of differential-difference equations
is presented for Casorati determinants to solve the Toda lattice equation. One
class of the resulting conditions leads to an approach for constructing
complexiton solutions to the Toda lattice equation through the Casoratian
formulation. An analysis is made for solving the resulting system of
differential-difference equations, thereby providing the general solution
yielding eigenfunctions required for forming complexitons. Moreover, a feasible
way is presented to compute the required eigenfunctions, along with examples of
real complexitons of lower order.
