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条件平差与间接平差的相互关系
引用本文:王旭华,赵德深,关萍.条件平差与间接平差的相互关系[J].辽宁工程技术大学学报(自然科学版),2003,22(3):320-322.
作者姓名:王旭华  赵德深  关萍
作者单位:大连大学,土木建筑工程系,辽宁,大连,116622
基金项目:大连大学学科建设发展基金项目(XKFZ0218)
摘    要:条件平差和间接平差是测量平差的两大基础。在各种有关测量平差的文献和教程中,这两种方法都是作为一种独立的方法被各自提出,而两者之间的关系尚无人论及。作者曾在文^2]中利用泛函分析原理推导了条件方程与误差方程系数矩阵之间的关系,但对于条件平差和间接平差之间整体关系的认识还很不够。本文从条件平差原理和间接平差原理入手,利用矩阵分析理论,发现并论证了条件平差与间接平差整体上的相互关系。并给出了相应的实例,从根本上解决了这两大平差基础之间的关系问题。

关 键 词:条件平差  间接平差  相互关系  系数矩阵  常数向量  矩阵分析理论  测量平差
文章编号:1008-0562(2003)03-0320-03
修稿时间:2002年11月2日

Relationship between adjustment of condition observations and adjustment of indirect observations
WANG Xu-hua,ZHAO De-shen,GUAN Ping.Relationship between adjustment of condition observations and adjustment of indirect observations[J].Journal of Liaoning Technical University (Natural Science Edition),2003,22(3):320-322.
Authors:WANG Xu-hua  ZHAO De-shen  GUAN Ping
Abstract:Adjustment of condition observations and adjustment of indirect observations are two basic methods in surveying. In various kinds of literatures and text books the two methods are introduced independently. But the relationship between them has not been mentioned so far. Authors of this paper simply discussed the relationship between the coefficient matrixes of the two methods in literature 2] using functional analysis. With matrix analysis theory this paper analyzes the principles of adjustment of condition equations and parametric equations, reveals and formulates the whole relationship between the coefficient matrixes and constant vectors of them. And corresponding examples are given. The problem of the relationship between the two basic adjustment methods is thus solved thoroughly.
Keywords:adjustment of condition observation  adjustment of indirect observations  coefficient matrix  constant vector  
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