The numerical method of solving of inverse spectral problems generated by perturbed self-adjoint operator

The interest in developing methods for solving inverse spectral problems is stimulated by extension of their application in various fields of science and technology. For example, the spectral problems find their growing application in the theory of dynamic measurements. Many of the results at solving the inverse spectral problems are obtained by the method of regularized traces, which was developed by V.A. Sadovnichii and V.V. Dubrovsky and their disciples. In this paper, we provide a numerical method developed for recovering the potential by the spectral characteristics of perturbed self-adjoint operator in the case when the perturbing operator is integral.