The article discusses the history, current state and prospects of fitting method development for inverse gravity problem. The progress possibility of fitting algorithms subject to the presence of various noise types in the interpreted gravitational field values is researched. We consider six different functional, used to assess the precision of the original and model fields. In the role of the residual stand the average squared difference, the average sum of absolute value difference, the maximum deviation. When comparing fields are also used by the changing in the iterative process weights and pre logarithm parameters. For multiplicative noise suppression minimizes the maximum deviation of the field amplitudes in all measurement points. By example gravity anomalies caused by 2D polygonal prism, a comparison algorithm controlled directional solidification and A.V. Ovcharenko method is realized. Obtained results allowed to use the latter to conduct computational experiments. It was found that the use of different functional types of local optimization in fitting technologies is quite acceptable. This allows to create a new composition of algorithms, expanding the set of feasible solutions of inverse problem for one and the same initial approximation, it is necessary for the implementation of additive technologies quantitative interpretation of gravity data.