地心坐标反解大地坐标的非线性方程组牛顿迭代法分析  

The analysis of conversion from geocentric to geodetic coordinates with Newton iteration to solve non-linear equations

作　　者：李琦[1] 王小辉[1] 

机构地区：[1]中国矿业大学/江苏省资源环境信息工程重点实验室,江苏徐州221008

出　　处：《测绘科学》2009年第6期46-47,共2页Science of Surveying and Mapping

摘　　要：目前的一些地心坐标向大地坐标的转换模型在计算速度,稳定性或精度方面存在一定的局限性。本文探讨了非线性方程组数值迭代的求解方法及其在MATLAB 7.0中的编程实现,并将结果与基于一元三次方程求解的严密方法做了比较分析,结果证明该方法是可以在实际中参考应用的。At present, there is certain localization in some formulae of transformation from geocentric coordinates to geodetic coordinates, such as rate of calculation, stability, or precision. This paper puts forward a new method based on Newton iteration of nonlinear equations and gives part of program in MATLAB 7. 0. The experimental result shows that this method is practical by analysis and comparison with rigorous conversion based on the solution to univariate cubic equation.

关 键 词：地心坐标 大地坐标 非线性方程组 

分 类 号：P22[天文地球—大地测量学与测量工程]