GPS非线性数据处理的同伦最小二乘模型

基金项目: 测绘遥感信息工程国家重点实验室开放研究基金资助项目((00)0204)

详细信息

Homotopy Least Squares Model of GPS Nonlinear Data Processing

School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, China, 430079;
2 Institute of Geology-Engineering and Geomatics, Chang'an University, 6 Yanta Road, Xi'an, China, 710054

摘要: 基于非线性同伦思想,提出了非线性最小二乘同伦方法,并推导出相应的GPS同伦非线性模型和算法。算例表明,对于精度较差的初始值,采用同伦非线性GPS伪距定位模型较线性最小二乘求解精度要好。
- GPS非线性数据处理 /
- 同伦算法 /
- 同伦最小二乘模型
Abstract: This paper puts forward the LS adjustment based on the homotopy arithmetic,deduces and constructes homotopy nonlinear LS model and its algorithms with nonlinear LS method.This method is an effective numerical method to solve the nonlinear equation.
- GPS nonlinear data processing /
- homotopy arithmetic /
- homotopy LS model