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多项式平方和分解新探
引用本文:隋振林.多项式平方和分解新探[J].佛山科学技术学院学报(自然科学版),2013(6):28-33,49.
作者姓名:隋振林
作者单位:山东东营胜利油田高培党校职业与继续教育发展中心招生办公室,山东东营257000
摘    要:将求线性方程组程序LPSOLVE应用于多项式平方和分解,从而得到分解算法LPSOS,并编写同名Maple应用程序,众多测试例子表明,本文的算法和程序优于同类算法和程序.

关 键 词:半正定多项式  平方和分解  LPSOLVE程序

The reserch on the solving of the sum of squares of polynomial decomposition
SUI Zhen-lin.The reserch on the solving of the sum of squares of polynomial decomposition[J].Journal of Foshan University(Natural Science Edition),2013(6):28-33,49.
Authors:SUI Zhen-lin
Institution:SUI Zhen-lin (Vocational and Continuing Education Development Center Admissions Office, Shandong Dongying Shengli Oilfield Advanced Training College ,Dongying 257000 ,China)
Abstract:If the programme LPSOLVE of solving the linear equations is applied to the decomposition of the sum of squares of polynomial,we can get the decomposition algorithm LPSOS. Besides,we can write the Maple application programme with the same name as LPSOS. Examples indicate that the algorithm and the programme in this thesis are superior to the ones of the same kind.
Keywords:semidefinite polynomial  sum of squares decomposition  LPSOLVE programm
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