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计算任意正交多项式的一种通用算法
引用本文:李建成. 计算任意正交多项式的一种通用算法[J]. 西安工程科技学院学报, 1995, 0(2)
作者姓名:李建成
作者单位:西北纺织工学院自动化系
摘    要:根据Schmidt过程构造关于任意权函数正交的多项式,建立了计算各阶多项式系数的递推公式,并通过算例验证结论.该算法可用于编制计算关于任意权函数正交的多项式的通用程序.

关 键 词:正交多项式,递推,算法,函数

A General Algorithm of Calculating Orthogonal Polynomial
Li Jiancheng. A General Algorithm of Calculating Orthogonal Polynomial[J]. Journal of Xi an University of Engineering Science and Technology, 1995, 0(2)
Authors:Li Jiancheng
Affiliation:Automatic Engineering Department
Abstract:n this paper, the author formulates a general algorithm of constructing general orthogonal polynomial according the Schmidt process and reduces recurrence formula of its construction. Two examples verified the correctness of this method. So one of algorithms to construct general orthogonal polynomial has been put forward for every actual application case,especially in the applicaton to make general program for calculating and constructing arbitrary orthogonal polynomial.
Keywords:orthogonal polynomial   general algorithm   recurrence
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