The Derivation Method to Calculate the Zeros of Polynomials

被引：0
作者：
von Krogh E. [1 ]
机构：
[1] Faculty of Computer Sciences, Östfold University College, Halden
来源：
International Journal of Applied and Computational Mathematics | 2019年 / 5卷 / 1期
关键词：
Derivatives; Numerical method; Polynomials; Real roots; Rolle’s Theorem; Theory of functions; Zeros;
D O I：
10.1007/s40819-018-0588-5
中图分类号：
学科分类号：
摘要：
This article presents a method to calculate the zeros (real roots) of polynomials. The method uses the derivatives of a polynomial to locate the intervals in which the polynomial has only one zero. When the intervals with only one zero are known, it is easy to calculate the zeros with algorithms such as bisection or the Newton–Raphson method. The method provides a stable and straightforward algorithm to calculate the zeros of polynomials that is easy to use on computers. © 2018, Springer Nature India Private Limited.
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Burden R., Faires D., Numerical Analysis: Bisection Method, pp. 48-55, (2015)
[2]  
Hass J., Weir M.D., Thomas G.B., University Calculus: The Newton–Raphson Method, pp. 275-277, (2016)
[3]  
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[4]  
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Rolle’s Theorem
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