  In this paper, a homotopy continuation method for the computation of
nonnegative Z-/H-eigenpairs of a nonnegative tensor is presented. We show that
the homotopy continuation method is guaranteed to compute a nonnegative
eigenpair. Additionally, using degree analysis, we show that the number of
positive Z-eigenpairs of an irreducible nonnegative tensor is odd. A novel
homotopy continuation method is proposed to compute an odd number of positive
Z-eigenpairs, and some numerical results are presented.
