Reconstructing images of gravitational lenses with regularizing algorithms

This note addresses possible applications of the Tikhonov regularization to image reconstruction of gravitational lens systems. Sev- eral modifications of the regularization algorithm are discussed. Our illus- trative example is the close quadruple gravitational lens QSO 2237+0305 (Einstein Cross). The restored image of the lens is decomposed into two parts - the quasar components and the background galaxy.