[en] A set of computer programs is constructed to investigate the resonance spectra by the RNR technique. The programs are based on the solution of the inverse problem using Tikhonov's regularization procedure, which permits taking into account the experimental errors and assumptions made in the model describing the beam-target interactions. The kernel of the integral equation determining a yield includes the initial ion beam energy spread, energy loss straggling, resonance width and shape and the Doppler effect. The programs are menu-driven, which facilitates handling of the experimental spectrum. The use of the resonance reactions permits the optimum experimental conditions to be found. The adequacy of the the programs developed is shown by the tests performed using the simulated spectra and the experimental spectrum from the ⁴⁰ Ar(p,γ) resonance reaction, argon being implanted in the molybdenum matrix at different energies. The shortcomings of the direct solution of the yield equation are discussed