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The paper concerns some aspects of the optimization of the synthesis acceleration techniques in neutron transport. The importance of non-asymptotic convergence velocity as a theoretical means to characterize and optimize acceleration methods is discussed in detail for isotropic as well as highly anisotropic scattering cases; this shows the inaccuracy of results based only on the usual asyptotic analysis. A detailed study of converence velocity behaviour for space discretized schemes and multidimensional problems is also presented.