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BEZOUT: 作品数：25被引量：20H指数：3; 导出分析报告; 相关领域：理学更多>>; 相关作者：陈公宁冯琴荣李菊雁张战英吴培炯更多>>; 相关机构：北京师范大学江南大学合肥工业大学山西师范大学更多>>; 相关期刊：《理论数学》《Science China Mathematics》《数学的实践与认识》《高等学校计算数学学报》更多>>; 相关基金：国家自然科学基金国家教育部博士点基金山西省回国留学人员科研经费资助项目江苏省教育科学“十一五”规划课题更多>>

Research on Euclidean Algorithm and Reection on Its Teaching: 《应用数学》2025年第1期308-310,共3页ZHANG Shaohua; Supported by the Natural Science Foundation of Chongqing(General Program,NO.CSTB2022NSCQ-MSX0884);Discipline Teaching Special Project of Yangtze Normal University(csxkjx14)。; In this paper,we prove that Euclid's algorithm,Bezout's equation and Divi-sion algorithm are equivalent to each other.Our result shows that Euclid has preliminarily established the theory of divisibility and the great...; 关键词：Euclid's algorithm Division algorithm Bezout's equation

Solving Some Problems and Elimination in Systems of Polynomial Equations: 《American Journal of Computational Mathematics》2024年第3期333-345,共13页Moumouni Djassibo Woba; In a factorial ring, we can define the p.g.c.d. of two elements (defined to the nearest unit) and the notion of prime elements between them. More generally, Bezout’s identity characterizes two prime elements in a mai...; 关键词：Identity of Bezout Ring of Bezout IDEALS POLYNOMIALS COMMON

矩阵多项式的Bezout等式: 《理论数学》2021年第3期357-361,共5页朱晓妍田运波李锋; 本文研究经典的多项式理论中的Bezout等式在矩阵多项式理论中的情形。使用矩阵多项式的Smith标准型证明了一个关于Bezout等式的推广定理。; 关键词：Bezout等式矩阵多项式 Smith标准型

Divisibility Proper ties of the Semiring of Ideals of an Integral Domain: 《Algebra Colloquium》2020年第3期369-380,共12页Gyu Whan Chang HwanKoo Kim; supported by the Incheon National University Research Grant in 2018(Grant No.2018-0014).; Let D be an integral domain,F^(+)(D)(resp.,f^(+)(D))be the set of nonzero(resp.,nonzero finitely generated)ideals of D,R_(1)=f+(D)∪{(0)},and R_(2)=F+(D)∪{(0)}.Then(R_(i),㊉,■)for i=1,2 is a commutative semiring wit...; 关键词：star operation P*MD *-Dedekind domain Gaussian semiring Bezout semiring unique factorization semidomain principal ideal semidomain

Robust Control for Uncertain Nonlinear Feedback Systems Using Operator-based Right Coprime Factorization被引量：3: 《IEEE/CAA Journal of Automatica Sinica》2019年第3期824-829,共6页Ni Bu Wei Chen Longguo Jin Yandong Zhao; supported by the National Natural Science Foundation of China(61304093,61472195); The robust control issue for uncertain nonlinear system is discussed by using the method of right coprime factorization. As it is difficult to obtain the inverse of the right factor due to the high nonlinearity, the p...; 关键词：BEZOUT IDENTITY NONLINEARITY RIGHT coprime FACTORIZATION (RCF) robust control

An extended version of Schur-Cohn-Fujiwara theorem in stability theory: 《Frontiers of Mathematics in China》2015年第5期1113-1122,共10页Yongjian HU Xuzhou ZHAN Gongning CHEN; Acknowledgements This work was supported by the National Natural Science Foundation of China （Nos. 11071017, 11271045） and the Program for New Century Excellent Talents in University.; This paper is concerned with root localization of a complex polynomial with respect to the unit circle in the more general case. The classical Schur-Cohn-Fujiwara theorem converts the inertia problem of a polynomial t...; 关键词：Inertia of polynomial inertia of matrix Bezout matrix Schur-Cohn-Fujiwara theorem Schur-Cohn matrix

几乎弱稳定秩的环: 《数学的实践与认识》2015年第10期275-280,共6页郑丽翠刘伟俊李冬梅; 中南大学中央高校基本科研业务费专项资金资助(2013zzts008);国家自然科学基金(11271208;11471108;11426101);湖南省自然科学基金(14JJ6027;2015JJ2051); 主要是介绍了非交换环的几乎弱稳定秩的概念,并利用它来研究非交换环上的右Hermite环,右Bezout环及初等因子环之间的关系.证明了具有几乎弱稳定秩的满足条件V的右(左)Hermite环是初等因子环;还证明了具有几乎弱稳定秩的满足条件V的右Bez...; 关键词：Hermite环初等因子环 Bezout环几乎弱稳定秩

On Co-Primarily Packed Modules: 《Advances in Pure Mathematics》2015年第4期208-211,共4页Lamis J. M. Abulebda; Let R be a commutative ring with 1, and M is a (left) R-module. We introduce the concept of coprimarily packed submodules as a proper submodule N of an R-module M which is said to be Coprimarily Packed Submodule. If w...; 关键词：Coprimarily Packed SUBMODULE STRONGLY Coprimarily Packed SUBMODULE BEZOUT Module

关于多项式惯性的Hermite-Fujiwara定理的改进(英文): 《高等学校计算数学学报》2014年第4期327-344,共18页胡永建詹旭洲陈公宁; Supported by grants from the National Natural Science Foundation of China(Nos.11071017and 11271045);the Program for New Century Excellent Talents in University; In this paper,we first present an improvement of the well-known Hermite-Fujiwara theorem for the inertia of polynomials,and then use it to deduce some explicit formulas for the number of roots of a complex polynomial ...; 关键词：inertia of polynomial inertia of matrix Bezout matrix Hankel matrix Hermite-Fujiwara theorem.

组合结式理论的初步应用: 《计算机应用》2014年第1期175-178,共4页袁勋; 国家973计划项目(NKBRPC-2011CB302402);国家自然科学基金资助项目(91118001;11171053);成都信息工程学院项目(KYTZ201302); 利用组合结式方法的灵活性、快速消元和组合结式导出多项式的多样性等特点,提出了构造Bezout矩阵的改进算法,并把组合结式方法应用在求解非线性方程组、推导未知关系、参数曲线与曲面的隐式化、构造三角列等方面。通过实例验证,组合结...; 关键词：组合结式 Dixon结式 Bezout结式 Dixon多项式组合结式方法

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