Application of Regularizing Algorithms for Solving Ill-conditioned LAS Arising in Problems of Scatterer Form Reconsttuction

The algorithms enabled to regularize the ill-posed problems of body form reconstruction are proposed and tested. The first of them is based on the usual Tikhonov regularization and presents the iterative procedure, which minimize the deviation of the obtained form of scatterer on the desired one in the each iteration. The second one is based on the known dynamical system method allows to obtain the scatterer with form, norm of with is as close as possible to the norm of the desired form. The effectiveness of both the algorithms is compared at the different geometries of problem.