摘要
在一般多项式曲线拟合的基础上,讨论了关于数据点集的正交多项式的定义、性质及构造方法,并将这一类正交多项式用于原始数据缺失及基函数缺项时的数据拟合问题。数值实验表明正交多项式拟合与一般多项式拟合可以得到同样的结果,而正交多项式拟合的计算更为简便。
On the base of general polynomial curve fitting,the paper discusses the definition,nature and construction method of orthogonal polynomials of data set of points,and this kind of orthogonal polynomial is used in original data loss,and lacked of basis functions of data fitting problem.Numerical experiments show that orthogonal polynomials and general polynomial fitting can get the same results,and orthogonal polynomials calculation is more simple.
出处
《河北联合大学学报（自然科学版）》
CAS
2011年第4期79-84,共6页
Journal of Hebei Polytechnic University:Social Science Edition
关键词
数据拟合
最小二乘法
正交多项式
数据缺失
data fitting
the least square
orthogonal polynomial
data deficiency
