改进鲍威尔法更新寻优方向组条件的证明与补充

Powell method is one of the most useful optimization methods. Based on the no linearity degradation of basic direction group, the deriving process of updating direction group criterion is proposed. The complementarity is given. The first original condition guarantees the forecast optimum located the area of current series optimum. The second original condition guarantees the forecast downtrend of objective function. The complementarity condition guarantees the linearity of direction group with a bigger value of matrix quantity. Based on the principle of visualizing teaching, the flow chart of improved Powell method is designed. It has a good readability.