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Extending the parameter space of the three-dimensional (d=3) Ising model, wesearch for a regime of eliminated corrections to finite-size scaling. For thatpurpose, we consider a real-space renormalization group (RSRG) with respect toa couple of clusters simulated with the transfer-matrix (TM) method. Imposing acriterion of "scale invariance," we determine a location of the non-trivialRSRG fixed point. Subsequent large-scale TM simulation around the fixed pointreveals eliminated corrections to finite-size scaling. As anticipated, such anelimination of corrections admits systematic finite-size-scaling analysis. Weobtained the estimates for the critical indices as nu=0.6245(28) andy_h=2.4709(73). As demonstrated, with the aid of the preliminary RSRG survey,the transfer-matrix simulation provides rather reliable information oncriticality even for d=3, where the tractable system size is restrictedseverely

physical review. e, statistical, nonlinear and soft matter physics

Eliminated corrections to scaling around a renormalization-group fixed point: Transfer-matrix simulation of an extended<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>d</mml:mi><mml:mo>=</mml:mo><mml:mn>3</mml:mn></mml:mrow></mml:math>Ising model

Eliminated corrections to scaling around a renormalization-group fixed point: Transfer-matrix simulation of an extendedd=3Ising model