  In this paper, we give algorithms for determining the existence of
isomorphism between two finite-dimensional Lie algebras and compute such an
isomorphism in the affirrmative case. We also provide algorithms for
determining algebraic relations of parameters in order to decide whether two
parameterized Lie algebras are isomorphic. All of the considered Lie algebras
are considered over a field $\F$, where $\F=\C$ or $\F=\R$. Several
illustrative examples are given to show the applicability and the effectiveness
of the proposed algorithms.
