  Under the condition of nonuniformly bounded growth, %nonuniform exponential
dichotomy spectrum for nonautonomous linear system is proposed the relationship
of the nonuniform exponential dichotomy spectrum and the other two classical
spectrums (the Lyapunov spectrum and Sacker-Sell spectrum) is given, and the
stability of these spectrums under small linear perturbations are summarized
and presented in this paper. A main goal of this paper is to discuss the theory
for the computation of these spectrums under the condition of nonuniformly
bounded growth, and this extends the work of Dieci and Vleck \cite{dv-02},
which compute the Lyapunov spectrum and Sacker-Sell spectrum under the
condition of bounded. Finally, an example is given to illustrate and verify the
theoretical results.
