The steady-state of Schottky-barrier diode frequency multipliers with a periodic external perturbation is most effectively analyzed by the method of harmonic balance (the spectral method). Computer experiments indicated that inaccuracy in calculating the elements of the Jacobi matrix can cause the method to diverge. The proposed method for finding the elements of the Jacobi matrix enables one to write an effective program for designing balanced frequency multipliers in which the running time can be reduced. For more convenient use, the program has several modes of operation which enable one to use, or not use, any particular parameter variation, to work over a wide range of allowed errors in the solution, to find a solution with the minimum possible error, to analyze the operation of device containing either one or many diodes for an arbitrary number of harmonics and instantaneous values of the signal shape per period, to compute the amplitude, the frequency, and the phase characteristics of the networks, to analyze the suppression of sideband harmonics, etc.