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FACTORIZATIONS: 作品数：35被引量：28H指数：4; 导出分析报告; 相关领域：理学更多>>; 相关作者：王建方李育强姚伯华孙霓刚更多>>; 相关机构：中国科学院山东工商学院河南大学南开大学更多>>; 相关期刊：《Science China Mathematics》《Algebra Colloquium》《Applied Mathematics and Mechanics(English Edition)》《Acta Mathematicae Applicatae Sinica》更多>>; 相关基金：国家自然科学基金更多>>

On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices: 《Journal of Systems Science & Complexity》2024年第3期1295-1307,共13页LU Dong WANG Dingkang XIAO Fanghui; supported by the National Natural Science Foundation of China under Grant Nos.12171469,12001030 and 12201210;the National Key Research and Development Program under Grant No.2020YFA0712300;the Fundamental Research Funds for the Central Universities under Grant No.2682022CX048。; A new necessary and sufficient condition for the existence of minor left prime factorizations of multivariate polynomial matrices without full row rank is presented.The key idea is to establish a relationship between ...; 关键词：Free modules Grobner bases minor left prime(MLP) multivariate polynomial matrices polynomial matrix factorizations

Shift, the Law of the Invention of Zero: 《Advances in Pure Mathematics》2023年第5期237-249,共13页Emmanuel Cadier Anaxhaoza; After posing the axiom of linear algebra, the author develops how this allows the calculation of arbitrary base powers, which provides an instantaneous calculation of powers in a particular base such as base ten;first...; 关键词：AXIOM Axiom of Linear Algebra {ALA} Any Base Calculation ABC Theory Number’s Origin Number Theory Newton’s Binomial Formula Pascal’s Triangle Base Z Canonical Bases Calculator Revolution Infinite Sums of Inverse of Integer to the Successive Powers Information Completion Theory Cipher Factorizations That Are Numbers Infinite Numbers That Are Infinite Sums

Some New Results on Purely Singular Splittings: 《Communications in Mathematical Research》2022年第2期136-156,共21页Pingzhi Yuan; Let G be a finite abelian group,M a set of integers and S a subset of G.We say that M and S form a splitting of G if every nonzero element g of G has a unique representation of the form g=m s with m∈M and s∈S,while ...; 关键词：Splitter sets perfect codes factorizations of cyclic groups

Lifts of Non-Compact Convex Sets and Cone Factorizations: 《Journal of Systems Science & Complexity》2020年第5期1632-1655,共24页WANG Chu ZHI Lihong; supported by Equipment Pre-Research Field Fund under Grant Nos.JZX7Y20190258055501,JZX7Y20190243016801;the National Natural Science Foundation of China under Grant No.11901544;the National Key Research Project of China under Grant No.2018YFA0306702;the National Natural Science Foundation of China under Grant No.11571350;supported by National Institute for Mathematical Sciences 2014 Thematic Program on Applied Algebraic Geometry in Daejeon,South Korea。; This paper generalizes the factorization theorem of Gouveia,Parrilo and Thomas to a broader class of convex sets.Given a general convex set,the authors define a slack operator associated to the set and its polar accor...; 关键词：Cone factorization convex set lift nonnegative rank POLYHEDRON positive semidefinite rank recession cone

Factorizations of Finite Groups and Related Topics: 《Algebra Colloquium》2020年第1期149-180,共32页Lev Kazarin; This is a survey on the recent progress in the theory of finite groups with factorizations and around it,done by the author and his coauthors,and this has no pretensions to cover all topics in this wide area of resear...; 关键词：finite groups products of groups conjugacy classes Sylow subgroups Lie type groups FACTORIZATIONS

On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices被引量：1: 《Journal of Systems Science & Complexity》2018年第6期1647-1658,共12页GUAN Jiancheng LI Weiqing OUYANG Baiyu; supported by the National Science Foundation of China under Grant Nos.11371131 and 11501192; In this paper,rank factorizations and factor left prime factorizations are studied.The authors prove that any polynomial matrix with full row rank has factor left prime factorizations.And for a class of polynomial mat...; 关键词：FACTOR PRIME FACTORIZATIONS MULTIVARIATE polynomial matrices RANK FACTORIZATIONS

Factorizations of Matrices over Projective-free Rings: 《Algebra Colloquium》2016年第1期23-32,共10页I-Iuanyin Chen H. Kose; This research was supported by the Scientific and Technological Research Council of Turkey （2221 Visiting Scientists Fellowship Programme） and the Natural Science Foundation of Zhejiang Province （LY13A010019）, China.; An element of a ring R is called strongly J#-clean provided that it can be written as the sum of an idempotent and an element in J#（R） that commute. In this paper, we characterize the strong J#-cleanness of matrices...; 关键词：strongly J#-matrix characteristic polynomial projective-free ring

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-A: The Factorizational Theory for Chebyshev Asymptotic Scales被引量：2: 《Advances in Pure Mathematics》2015年第8期454-480,共27页Antonio Granata; This paper, divided into three parts (Part II-A, Part II-B and Part II-C), contains the detailed factorizational theory of asymptotic expansions of type (?)?, , , where the asymptotic scale?, , is assumed to be an ext...; 关键词：ASYMPTOTIC EXPANSIONS FORMAL Differentiation of ASYMPTOTIC EXPANSIONS FACTORIZATIONS of Ordinary Differential OPERATORS CHEBYSHEV ASYMPTOTIC Scales

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-B: Solutions of Differential Inequalities and Asymptotic Admissibility of Standard Derivatives被引量：1: 《Advances in Pure Mathematics》2015年第8期481-502,共22页Antonio Granata; Part II-B of our work continues the factorizational theory of asymptotic expansions of type (*) , , where the asymptotic scale , , is assumed to be an extended complete Chebyshev system on a one-sided neighborhood of ...; 关键词：ASYMPTOTIC EXPANSIONS Formal Differentiation of ASYMPTOTIC EXPANSIONS FACTORIZATIONS of Ordinary Differential Operators CHEBYSHEV ASYMPTOTIC Scales

Analytic Theory of Finite Asymptotic Expansions in the Real Domain. Part II-C: Constructive Algorithms for Canonical Factorizations and a Special Class of Asymptotic Scales: 《Advances in Pure Mathematics》2015年第8期503-526,共24页Antonio Granata; This part II-C of our work completes the factorizational theory of asymptotic expansions in the real domain. Here we present two algorithms for constructing canonical factorizations of a disconjugate operator starting...; 关键词：ASYMPTOTIC EXPANSIONS CANONICAL FACTORIZATIONS of Disconjugate OPERATORS Algorithms for CANONICAL FACTORIZATIONS CHEBYSHEV ASYMPTOTIC Scales

FACTORIZATIONS