Abstract: Based on the higherorder power method for computing the spectral radius of nonnegative tensors, we proposed a new iterative algorithm for determining strong Htensors. We proved that the given algorithm stopped in a finite step and its convergence rate was linear convergence by combined with the scaling technique of inequality and PerronFrobenius theorem of nonnegative tensors. Some numerical examples show that the algorithm can determine whether a given tensor is
 a strong Htensor or not. The iterative steps of the algorithm are less than that of the classical algorithm for determining strong Htensors in some cases.

Key words: strong Htensor, iterative algorithm, linear convergence