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高斯投影复变换的数值计算方法
引用本文:刘大海.高斯投影复变换的数值计算方法[J].测绘科学技术学报,2012(1):9-11.
作者姓名:刘大海
作者单位:深圳市地质局
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...

关 键 词:高斯投影  复变函数  代数系统  变换  数值计算

Gauss Projection Numerical Method for Complex Transformation
LIU Dahai.Gauss Projection Numerical Method for Complex Transformation[J].Journal of Zhengzhou Institute of Surveying and Mapping,2012(1):9-11.
Authors:LIU Dahai
Institution:LIU Dahai(Shenzhen Geological Bureau,Shenzhen 518028,China)
Abstract: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.
Keywords:gauss projection  complex function  algebraic system  transformation  numerical calculation
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