  We present a modified finite temperature Lanczos method for the evaluation of
dynamical and static quantities of strongly correlated electron systems that
complements the finite temperature method (FTLM) introduced by Jaklic and
Prelovsek for low temperatures. Together they allow accurate calculations at
any temperature with moderate effort. As an example we calculate the static
spin correlation function and the regular part of the optical conductivity of
the one dimensional Hubbard model at half-filling and show in detail the
connection between the ground state and finite temperature method. By using
Cluster Perturbation Theory (CPT), the finite temperature spectral function is
extended to the infinite system, clearly exhibiting the effects of spin-charge
separation.
