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贵刊1987.8期刊载的《关于修正最小二乘法的计算》(以下简称文[1])一文中,圆满地解决了p=2时n个散点的重心轴线方程问题.然而此法并不适用多维情形,因而将多维下的重心轴线方程作为问题提出。本文拟就此进行讨论,求得问题的彻底解决。问题的实质是要解决如下命题: 命题已知p维空间的n个散点,求一条
In the article “Calculating the Least Squares Calculation” (hereinafter referred to as [1]) contained in the Journal of the 1987.8 issue of the journal, the problem of the center-of-gravity equation of the n scatter points at p = 2 is solved satisfactorily. However, this method does not apply. In multidimensional situations, the multi-dimensional center-of-gravity equation is proposed as a problem. This article intends to discuss this issue and seek a thorough solution to the problem. The essence of the problem is to solve the following propositions: Propositions Known p-dimensional space n scatter, find one