FACTORIZATIONS

作品数:35被引量:28H指数:4
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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>>
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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 
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 
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 
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