A non-extensive maximum entropy based regularization method for bad conditioned inverse problems

A regularization method based on the non-extensive maximum entropy principle is devised. Special emphasis is given to the q = 1/2 case. We show that, when the residual principle is considered as constraint, the q = 1/2 generalized distribution of Tsallis yields a regularized solution for bad-conditioned problems. The so devised regularized distribution is endowed with component which col-responds to the well known regularized solution of Tikhonov. (C) 1998 Published by Elsevier Science B.V. All rights reserved.