  This work belongs to the framework of inverse problems with linear model. The
resolution of this type of problem consists in minimizing (possibly under
constraints) a function of discrepancy between the measurements and a physical
model of the considered phenomenon. We will here extend this study to
divergence functions based on forms of entropy developed in the field of
Statistical Physics. These various forms of entropy are based on "the deformed
algebra" [9] and in particularly on the notion of "Deformed Logarithm" [15][9].
