关键词: 灰色预测, 求解优化, 多项式拟合, 灰色等维递补

Abstract: In view of the traditional GM（1，1） model prediction accuracy is not high, additionally its solving method optimizing and polynomial fitting both have the one-sided ness problem, this paper presents the grey dynamic equal dimension forecasting method based on solving method optimizing and polynomial fitting. Then according to the the statistical data of population in the United States in nearly two hundred years, it can compare the error by the method of using the traditional GM（1，1） model and its optimization model. The results show that the improved grey model has higher prediction accuracy, indicating that the improved grey forecasting model with the better reliability and feasibility.

Key words: grey prediction, solving method optimizing, polynomial fitting, equal dimension grey number