林士谔-贝尔斯多夫方法的推广
Extension of Lin-Bairstow Method
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摘要: 为求3次以上实系数多项式的因式,现推广林士谔-贝尔斯多夫的结论,采用于牛顿方法类似的方法,给 出求实系数多项式的任意k次实因式的数值方法,并说明其误差可归结为牛顿法求根的误差.Abstract: Lin-Bairstow method was extended to derive the factors of polynomials with more than 3rd-degree. A numerical method for solution ofkth-degree (k≥3) factors of real coefficient polynomials was proposed. An approach similar to Newtonian iteration method is used in the proposed method, and the error is controlled by the error from the process of finding the roots with Newtonian method
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Key words:
- polynomial /
- factors /
- real coefficient /
- Newtonian iterative method
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