  We present a self-consistent theory of Anderson localization that yields a
simple algorithm to obtain \emph{typical local density of states} as an order
parameter, thereby reproducing the essential features of a phase-diagram of
localization-delocalization quantum phase transition in the standard lattice
models of disordered electron problem. Due to the local character of our
theory, it can easily be combined with dynamical mean-field approaches to
strongly correlated electrons, thus opening an attractive avenue for a genuine
{\em non-perturbative} treatment of the interplay of strong interactions and
strong disorder.
