复平面上超越方程的数值解法及其应用

Numerical Algorithms For Transcendental Equations In A Complex Plane And Its Applications

基于幅角原理和闭合曲线积分,结合MATLAB,提出了复平面上超越方程的两种数值解法,并编制了相应的程序。这两种方法都能将指定区域内的所有解求出,且无需选定初值。数值结果显示了这两种方法的优越性。

Based on Argument principle and contour integral, with the aid of MATLAB, two numerical algorithms combined with the corresponding procedures for solving transcendental equations in a complex plane are developed. With the proposed algorithms,all solutions can be found in the appointed domain if they exist, what＇s more, there is no need to choose initial value. Some numerical examples show their advantages.