多项式分解法的性能比较牛顿-格雷戈里向前推进,牛顿-格雷戈里后退,形成巴布亚省的人口

Agus Firanto, Darsih Idayani
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引用次数: 1

摘要

人口数据是中央统计局(巴丹·普萨特统计局)为确定巴布亚省发展的总体规划必须满足的绝对要求之一。然而,最完整和准确的人口数据来自每十年进行一次的人口普查的结果。由于间隔时间长,需要花费成本、时间和精力,所以如果能够估计住户的数量,效率会更高,节省时间和精力。估计人口需要适当的方法。因此,本文对巴布亚省的人口进行了正向牛顿-格里高利多项式插值和后向牛顿-格里高利多项式插值技术的比较。通过比较两种方法的相对误差,对两种方法的估计结果进行比较。对比结果表明,前向牛顿-格里高利多项式插值的相对误差平均值0,014200679小于后向牛顿-格里高利多项式插值的相对误差平均值0,047163677。因此,可以得出正向牛顿-格里高利多项式插值法在预测巴布亚省人口方面优于倒向牛顿-格里高利多项式插值法的结论。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
PERBANDINGAN PERFORMA METODE INTERPOLASI POLINOMIAL NEWTON-GREGORY MAJU DAN NEWTON-GREGORY MUNDUR DALAM MENGESTIMASI JUMLAH PENDUDUK DI PROVINSI PAPUA
Population data is one of the absolute requirements that must be fulfilled by the Central Statistics Agency (Badan Pusat Statistik) to determine the grand design of development in the Province of Papua. However, the most complete and accurate source of population data comes from the results of a population census carried out every ten years. With long intervals and requiring costs, time, and effort, it will be more efficient and save time and effort if the number of residents can be estimated. Estimating the population required the proper method. Therefore, in this article, a comparison of Forward Newton-Gregory Polynomial Interpolation and Backward Newton-Gregory Polynomial Interpolation techniques is carried out to estimate the population of Papua Province. The estimated results of the two methods are compared by comparing the relative amount of error. The comparison results show that the relative error average of the Forward Newton-Gregory Polynomial Interpolation 0,014200679 is smaller than the relative error average of the Backward Newton-Gregory Polynomial Interpolation 0,047163677. So, it can be concluded that the Forward Newton-Gregory Polynomial Interpolation method is better than Backwards Newton-Gregory Polynomial Interpolation in predicting the population of Papua Province.
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