等式约束的效率分析和一致性检验  

Efficiency Analysis and Consistency Checking of Surveying Adjustment with Equality Constraints

作　　者：谢波[1] 汪荃[2] 

机构地区：[1]重庆水利电力职业技术学院,重庆402160 [2]武汉科岛地理信息工程有限公司,湖北武汉430079

出　　处：《北京测绘》2014年第3期7-10,共4页Beijing Surveying and Mapping

摘　　要：利用正定二次型矩阵极值的方法进一步分析等式约束对平差结果的影响,推导出等式约束线性模型的验后单位权方差(中误差)最小值,验证了该值和无等式约束的方差一致性,并将等式约束线性模型的验后单位权中误差最小值作为等式约束的验后单位权中误差限差的基准值。Furtherly analyze the influence of equality constraints to the result of surveying adjustment by using the method of extreme value of positive definite quadratic matrix, deduce the minimum value of posteriori unit weight mean error to linear model with equality constraints, and verify the value is consistent with the variance of linear model to surveying ad justment without equality constraints. The minimum value can be used as the reference value of posteriori unit weight mean error to linear model with equality constraints.

关 键 词：等式约束 线性模型 平差 中误差 

分 类 号：P207.2[天文地球—测绘科学与技术]