RESULTANTS

作品数：5被引量：17H指数：2
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相关领域：理学更多>>
相关作者：冯勇唐樨瑾更多>>
相关机构：中国科学院成都计算机应用研究所更多>>
相关期刊：《软件学报》《Journal of Systems Science & Complexity》《American Journal of Computational Mathematics》更多>>
相关基金：国家自然科学基金国家重点基础研究发展计划更多>>
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Elimination Theory in Differential and Difference Algebra被引量：1
《Journal of Systems Science & Complexity》2019年第1期287-316,共30页LI Wei YUAN Chun-Ming 
supported by the National Natural Science Foundation of China under Grant Nos.11688101,11301519,11671014
Elimination theory is central in differential and difference algebra. The Wu-Ritt characteristic set method, the resultant and the Chow form are three fundamental tools in the elimination theory for algebraic differen...
关键词：DIFFERENTIAL Chow FORMS DIFFERENTIAL RESULTANTS sparse DIFFERENTIAL RESULTANTS Wu-Ritt characteristic SETS 
Resultant Elimination via Implicit Equation Interpolation被引量：4
《Journal of Systems Science & Complexity》2016年第5期1411-1435,共25页TANG Min YANG Zhengfeng ZENG Zhenbing 
supported in part by the National Natural Science Foundation of China under Grant Nos.11471209,61321064 and 61361136002;the Innovation Program of Shanghai Municipal Education Commission under Grant No.14ZZ046
It is well known that resultant elimination is an effective method of solving multivariate polynomial equations. In this paper, instead of computing the target resultants via variable by variable elimination, the auth...
关键词：ELIMINATION implicit equations INTERPOLATION resultants. 
Theories and Analyses Thick Hyperbolic Paraboloidal Composite Shells被引量：1
《American Journal of Computational Mathematics》2015年第2期80-85,共6页Mohammad Zannon Basma Al-Shutnawi Hussam Alrabaiah 
This paper presents the stress resultants of hyperbolic paraboloidal shells using higher order shear deformation theory recently developed by Zannon [1]-[3]. The equilibrium equations of motion use Hamilton’s minimum...
关键词：Stress RESULTANTS HYPERBOLIC Paraboloidal HAMILTON Principles THICK Shell Third Order Shear Deformation CROSS-PLY Stiffness Matrix 
IMPLICITIZATION USING UNIVARIATE RESULTANTS被引量：2
《Journal of Systems Science & Complexity》2010年第4期804-814,共11页Liyong SHEN Chunming YUAN 
supported by the Natural Science Foundation of China under Grant No. 10901163;the Knowledge Innovation Program of the Chinese Academy of Sciences
Among several implicitization methods, the method based on resultant computation is a simple and direct one, but it often brings extraneous factors which are difficult to remove. This paper studies a class of rational...
关键词：IMPLICITIZATION rational space curves rational surfaces resultants. 
Dixon结式在密码学中的应用被引量：9
《软件学报》2007年第7期1738-1745,共8页唐樨瑾 冯勇 
国家重点基础研究发展计划(973)No.2004CB318003~~
针对密码学中的多变元多项式二次方程系统求解问题,基于扩展Dixon结式提出了一种求解算法DR(Dixon resultants).基本思想为对于MQ(multivariate quadratic)问题,把x1,x2,…,xn?1当作变元,而把xn当作参数,然后利用和改进扩展Dixon结式方...
关键词：多变元密码学 有限域上的多项式方程 代数攻击 DIXON 结式 DR(Dixon resultants) 
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