IMPROVEMENT OF GM(2,1) MODEL BY MINIMUM SQUARES

A GM(2,1) model has been given using the grey system theory .A 2_order ordinary differential equation (ODE) has been established for given data using the data generation.A numerical example is given in using GM(2,1) with good results.However,there is no law in paper for choosing the initial value of ODE.A method is therefore proposed to solve the problem using the method of minimum squares,and the system response equation of GM(2,1) is then obtained.The numerical results show that this is an effective way of solving GM(2,1) and its error is smaller than that in paper .