A rapidly convergent series, based on Taylor expansion of the imaginary part of the complex error function, is presented for highly accurate approximation of the Voigt/complex error function with small imaginary argument (Y less than 0.1). Error analysis and run-time tests in double-precision computing platform reveals that in the real and imaginary parts the proposed algorithm provides average accuracy exceeding 10^-15 and 10^-16, respectively, and the calculation speed is as fast as that of reported in recent publications. An optimized MATLAB code providing rapid computation with high accuracy is presented.

翻译：以泰勒扩大复杂错误功能的假想部分为基础,制作了一个快速趋同序列,用于以小的假想参数(Y小于0.1)高度精确近似Voigt/复合错误函数(Y小于0.1),在双精度计算平台中进行错误分析和运行时间测试显示,在实际和假想部分中,拟议的算法平均精确度分别超过10×15和10×16,计算速度与最近出版物所报告的速度一样快。