Self-similar sequence transformation for critical exponents

• An method of self-similar sequence transformations is shown to be regular. The used for the summation asymptotic expansions. calculated critical exponents are in good agreement with other methods. advantage its simplicity. Self-similar transformation an original type nonlinear allowing defining effective limits sequences. factor This applied calculating O ( N ) -symmetric ? 4 theory three dimensions by summing ? It that this straightforward and essentially simpler than techniques involving complicated numerical calculations, while enjoying comparable accuracy.