| 用差分代换方法估算最佳值及其他 |
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| 引用本文： | 刘保乾. 用差分代换方法估算最佳值及其他[J]. 汕头大学学报(自然科学版), 2011, 26(1): 27-34 |
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| 作者姓名： | 刘保乾 |
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| 作者单位： | 西藏自治区组织编制信息管理中心,西藏,拉萨,850000 |
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| 摘 要： | 如果一个多项式差分代换集中各个代换式的系数均是非负的,则这个多项式必然是正半定的,利用这个定理提出了一种估算最佳值的思路和方法;给出了对称多项式用k次方幂和表示的通用程序fmhbs,并以fmhbs程序为基础,介绍了发现n元k次方幂和不等式的思路和方法;对多项式的平方型分拆进行了探讨.
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| 关 键 词： | 差分代换 k次方幂和 生成运算 机器证明 |
Construction of Sampling Theorem with High Convergence Order |
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| LIU Bao-qian. Construction of Sampling Theorem with High Convergence Order[J]. Journal of Shantou University(Natural Science Edition), 2011, 26(1): 27-34 |
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| Authors: | LIU Bao-qian |
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| Affiliation: | LIU Bao-qian(Information Center,Department of Personnal,Tibet Autonomous Region,Lasa 850000,Tibet China) |
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| Abstract: | A polynomial is semi-definite when the cofficients of a differential substitution of the polynomial are negative.Based on this,a new algorithm is proposed to estimate optimum valuse,and a general program called fmhbs is constucted by representing symmetric polynomials with sum of powers.Based on fmhbs,a proposal is presented to find polynomials of sum of n terms of power-k,and the decomposition of polynomials is also studied. |
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| Keywords: | differential substitution sum of power-k macgine proof |
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