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Position: Home > Articles > A STUDY ON OPTIMUM FITTING ONE-WAY VOLUME EQUATION BY MODIFIED SIMPLEX METHOD Scientia Silvae Sinicae 1993,29 (6) 558-562

MSM法优化材积方程的研究

作  者:
何宗明;洪伟
单  位:
福建林学院杉木研究所
关键词:
改进单纯形法;一元材积方程拟合
摘  要:
一元材积表是根据胸径(D)与材积(V)的数学模型编制的林业用表。V=aD~b是编制一元材积表最常用的方程。由于上式是非线性的,过去常采用的方法是将该方程转化为线性拟合问题,但这里存在一个问题,非线性方程取对数转化为线性方程后,通过最小二乘法求得的参数对线性方程来说是最优的,而对原非线性方程而言,则误差较大,有进一步优化的必要。本文试图应用改进单纯形法,进一步优化V=aD~b方程的参数a、b,从而提高一元材积表的精度。
译  名:
A STUDY ON OPTIMUM FITTING ONE-WAY VOLUME EQUATION BY MODIFIED SIMPLEX METHOD
作  者:
He Zongming Hong Wei(Fujian College of Forestry, Noapiug 353001)
关键词:
Modified simplex method;Optimum fitting one-way volume eqution
摘  要:
Whan an one-way volume table is worked out by equation V=aD~b,ausual method for fitting this equation is to lineariz it firstly, then calculatethe parameters of a and b by Least-squares method. However, the method usedabove is not optimum. It is suggested that the precision of one-way volumetable will be increased by application of Modified Simplex Method to furtheroptimizing the parameter a and b of the equation V=aD~b.

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