摘要
将非线性观测值函数在其近似值处泰勒级数展开，取至二次项，得到线性－二次项形式。利用线性空间［L，Q］N的概念和性质，将它表示成［α，β］的向量形式。定义广义协方差算子和广义协因数算子，导出了线性－二次项的非线性观测值函数的广义协方差和广义协因数传播律。在此基础上，给出了非线性平差值函数和未知致函数的权倒数公式。
Nonlinear function is expanded into Taylor series in approximation value L°and chosed the first two terms in this paper. Coefficient vector a of the first term and coeffeient matrix β of the quodratic term constitute the vector [α,β] by using the concept of the linear space [L,Q]N, and the general covariance and cofactor oprators are defined. The formulas of the general covariance and cofactor progagntion for nonlinear function containing linear-quodratic term are derived. On the dasis of it, weight reciprocal formulas for nonlinear function of accordant value and that of unknown parameters are also given in the paper.
出处
《测绘工程》
CSCD
1997年第2期8-16,共9页
Engineering of Surveying and Mapping
关键词
非线性
观测值函数
线性空间
方差
权倒数
误差
Nonlinear observation function
Linear space
Variance-covariance propagation
