引用本文: 祝永刚, 白亿同. 按泛函分析理论来剖析平差计算中的数学结构[J]. 武汉大学学报 ( 信息科学版), 1985, 10(4): 50-56.
Zhu Yonggang, Bai Yitong. Study of the Mathematical Structure of Adjustment Computations based upon the theory of Functional Analysis[J]. Geomatics and Information Science of Wuhan University, 1985, 10(4): 50-56.
 Citation: Zhu Yonggang, Bai Yitong. Study of the Mathematical Structure of Adjustment Computations based upon the theory of Functional Analysis[J]. Geomatics and Information Science of Wuhan University, 1985, 10(4): 50-56.

## Study of the Mathematical Structure of Adjustment Computations based upon the theory of Functional Analysis

• 摘要: 本文主要运用泛函分析中Hilbert空间的对偶空间和对偶算子理论来剖析平差计算的数学结构。全文共分四个部分。第一部分主要讲平差计算中一些空间和算子的性质和它们之间的内在联系,第二部分讲关于平差数学模型的分类问题,第三部分是本文的重点,主要讨论如何利用交换图直接写出平差计算中的基本公式,前二个部分是为这部分服务的,最后一部分是补充说明几个有关问题。

Abstract: This paper deals with the mathematical structure of adjustment computations and is rather an introductory treatise.It is divided into four sections.The first section mainly introduces the nature of some spaces in adjustments.The second section discusses the classification problem of adjustment models.The third section is the focal point in this paper and describes how to use the commutative diagram to write down the main formulas of adjustment directly,the concepts of the two preceding sections being used here.In the last section of this paper some complementary related problems are discussed.

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