最佳平方逼近多项式病态改善
Improving the ill-condition of the best square approach polynomial
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摘要: 对于最佳平方逼近多项式,本文通过分析影响正规方程组的条件数的因素,结合数值实验,提出了中心化和压缩的方法,从而能够有效地降低其条件数,改善正规方程组的病态.Abstract: For the best square approach polynomial, the article analyses the factors which affect the condition-number of normal equations and combined with numerical trial, puts forward the way of centralizing and compressing, which can availably lower its condition-number and improve the ill-condition of the normal equations.