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单纯形(simplex)优化法自60年代形成以来已发展有基本单纯形(SSM),改良单纯形(MSM),不等步长单纯形和加权单纯形(WCM)。(除基本单纯形外,其他都是改良单纯形的衍生)。本文研究在分析化学中应用较多的不等步长单纯形和加权单纯形的推移过程,并在不等步长单纯形的基础上提出新单纯形技术(NSM)。此技术综合不等步长单纯形和加权单纯形的优点,既具有加权单纯形的加权性;又有不等步长单纯形计算简便,重心轴不偏移的特点,使收敛速度有明显提高。新单纯形技术与其他单纯形不同点是: 1.在反射点与有关点比较后,取较大的步长得到扩张或缩小等进程;
The simplex optimization method has evolved from simplex (SSM), refined simplex (MSM), unequal-step simplex and weighted simplex (WCM) since the 1960s. (In addition to the basic simplex, the other are simplex derived). In this paper, we study the transition process of unequal step simplex and weighted simplex in analytical chemistry, and propose a new simplex technique (NSM) on the basis of unequal step simplex. This technique synthesizes the advantages of simple steps and weighted simple steps, which not only have the weighted simplex weights, but also have the advantages of simple steps with different steps and easy calculation of the center of gravity axes, so that the convergence speed is obviously improved . The difference between the new simplex technique and other simplex is as follows: 1. After the reflection point is compared with the relevant point, take larger steps to get the process of expansion or contraction;