【摘要】 依据条件数法和特征分析法对采油工程中的灰色模型的病态性进行了分析 ,指出了两者在判定模型病态性方面的优劣 ,并根据最小二乘解析式分析了数乘变换对灰色模型参数的影响 ,文中还就 Gershgorin定理分析了灰色模型病态的缘由 ,指出累加和最小二乘法是导致灰色模型病态的直接原因更多还原

【Abstract】 Based on condition number and eigenvalue analytical theorem, this paper analyzes the ill-conditioned problem of grey model in prodution engineering, points out the advantage and disadvantage of this two methods in diagnosing ill-conditioned problem, and applies Gershgorin theorem to analyze that accumulate operation is the direction reason of the grey model ill-conditioned .Based on the least square analytical method, studies the affect of transformation on the pa of GM(2,1) model.更多还原