摘要
高斯投影复变换的数值计算简单快捷,具有重要的工程应用价值。从数值计算角度出发,使用计算机代数系统Mathcad,Matlab以及Mathematica对高斯投影复变换进行了改进:只需建立正算变换计算式而不再需要建立反算变换计算式。对于复方程,利用系统的求根函数直接求解。对于复积分,研究了积分级数分析法、椭圆积分函数法及直接积分法。
Gauss projection numerical calculation for complex transformation is simple and quick,so that it is important for engineering applications.From the numerical point of view,using the computer algebra system such as Mathcad,Matlab and Mathematica,Gauss projection on the complex transformation has been improved： simply create transformation formula was calculated without creating inverse transform formula;for complex equations,finding roots of functions directly used to the system;on the complex integration,studing the integral series of analysis,elliptic integral function method and the direct integration method.
出处
《测绘科学技术学报》
北大核心
2012年第1期9-11,共3页
Journal of Geomatics Science and Technology
关键词
高斯投影
复变函数
代数系统
变换
数值计算
gauss projection
complex function
algebraic system
transformation
numerical calculation
