New algorithms of initial development coefficients and optimization of grey model

This paper is from the original sequence level than the geometric average, the formula is used to determine the initial development factor a₀. Through several examples are given good results. Then take first-derived reduction, and a discrete set of initial conditions x tilde⁽⁰⁾=x⁽⁰⁾ determines coefficient of response , precision again will be further improved, and breakthroughs the development coefficient a isin (-2,2) of the limited scope, broaden the scope of the model and calculation is simple and efficient.