最小二乘法述评

FURTHER COMMENT ON THE LEAST-SQUARES METHOD

最小二乘法是大家很熟悉的,但对不同领域中的问题、运用不同的概念和数学工具来处理时,会有不同的表述形式、起到不同的作用。本文从分立数据、连续函数、向量形式和矩阵方法等方面对此做了进一步的统一讨论,以促进量子化学的研究。

Although the least-squares method is well familiar to everyone, there will be many different expressions playing different roles when we use the method to treat problems in the different fields with different concepts and mathematical tools. This paper is in an attempt to give a unified and a general discussion on the method from the viewpoint of discrete data, continuous function, vector and matrix.