将改进的最小二乘法应用于船舶性能分析

Guilin Tang, Yun-ming Qiu
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引用次数: 10

摘要

为了分析船舶的性能,建立了拟合多项式方程。最小二乘法是常用的多项式拟合算法之一。基于最小二乘法拟合多项式方程存在一定的误差,因为计算机有限字长对原始数据或计算存储有微小的波动而产生一定的影响。针对误差,对最小二乘法进行了改进,并将改进后的方法应用于船舶性能分析。分别用原始方法和改进的最小二乘法对拟合曲线进行了分析。研究结果表明,改进的最小二乘法对多项式方程的拟合精度高于原方法,具有更高的可靠性和实用性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Improved least square method apply in ship performance analysis
In order to analyze ship performance, fitting polynomial equation is established. Least square method is frequently one of fitting polynomial algorithms. Fitting polynomial equation based on least square method has some errors because computer-finite-word-length has some tiny fluctuations to original data or calculation storage and produces some influence. Aimed at the errors, the least square method is improved, and the improved method is applied in ship performance analysis. The fitting curves, obtained respectively by means of the original method and the improved least square method, are analyzed. The research result indicates that fitting-polynomial equation precision by use of the improved least square method is higher than the original method, and the improved method has more reliability and practicability.
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