A perception algorithm for discerning non-linearity

This paper puts forward a new improved perception algorithm based on solution region by analyzing the pattern´s solution geometric characteristic in space. The algorithm could find a better solution vector in solution region on condition that the pattern´s linearity is separable. Otherwise, it indicates the linearity isn´t separable. That is, it can discern that the solution region doesn´t exist. Consequently, this algorithm can discern quickly whether the pattern´s linearity is separable in its solution region and solve its convergence effectively, and finally enhance the speed of calculation.