把正定六次多项式表为多项式的平方和的一种算法
An Algorithm to Represent a Positive Definite Sixth-Degree Polynomials as the Sum of Squares of Polynomials
DOI: 10.12677/AAM.2020.93032, PDF, HTML, XML, 下载: 693  浏览: 2,547 
作者: 冯贝叶：中国科学院数学与系统科学研究院应用数学所，北京
关键词: 正定；一元六次多项式；平方和；Positive Definite； Sixth Degree Polynomial； Sum of Squares
摘要: 本文给出了一个把正定的一元六次实系数多项式表示成一些实系数多项式的可行算法。利用这个方法也可证明一个具体的数字系数的一元六次多项式的正定性。
Abstract: This paper presents a feasible algorithm for expressing positive definite sixth-order real coefficient polynomials as the sum of squares of some real coefficient polynomials. This method can also be used to prove that a specific number coefficient polynomial of the sixth degree is positive definite.
文章引用：冯贝叶. 把正定六次多项式表为多项式的平方和的一种算法[J]. 应用数学进展, 2020, 9(3): 271-276. https://doi.org/10.12677/AAM.2020.93032

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