【摘要】 采用不规则点的正交多项式来拟合水泵性能曲线 ,可避免采用一般多项式拟合时可能出现病态方程组的弊端。文中采用 Forsythe递推法生成正交多项式 ,根据显著性检验来确定拟合的多项式次数 ,并在计算中佐以作图程序来进行直观分析。文中还结合具体的算例证明了这种方法的实用性。更多还原

【Abstract】 Orthogonal polynomial is used to fit the characteristic curves of pump with rand om data to avoid the ill-conditioned system of equations that probably appears i n ordinary polynomial fitting. The Forsythe Recurrence Method is adopted to gene rate the orthogonal polynomial, and the degree of the polynomial is determined b y significance test. Using drawing program to make intuitive analysis for the co mputation, the method is shown to be practical by several actual examples.更多还原