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 ...
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...
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...