A number of iterative algorithms for calculating kinoforms are discuss
ed: a multiplicative adaptive algorithm allowing the rate of iterative
process to be increased, fast algorithms for interpolating and extrap
olating the kinoform phase pixels, an algorithm for calculating kinofo
rms forming radially symmetrical images and axial light segments, an a
lgorithm for calculating formators of Gauss-Hermite modes in required
diffraction orders, and an algorithm for calculating formators of refe
rence wavefronts. The results of computer simulation are given.