On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices

作     者：GUAN Jiancheng LI Weiqing OUYANG Baiyu 

作者机构：College of Mathematics and Computer ScienceKey Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China)Hunan Normal UniversityChangsha 410081China Department of MathematicsXiangnan UniversityChenzhou 423000China College of Mathematics and Computer ScienceKey Laboratory of High Performance Computing and Stochastic Information Processing (Ministry of Education of China)Hunan Normal UniversityChangsha 410081China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2018年第31卷第6期

页      面：1647-1658页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the National Science Foundation of China under Grant Nos.11371131 and 11501192 

主　　题：Factor prime factorizations multivariate polynomial matrices rank factorizations 

摘      要：In this paper,rank factorizations and factor left prime factorizations are *** authors prove that any polynomial matrix with full row rank has factor left prime *** for a class of polynomial matrices,the authors give an algorithm to decide whether they have rank factorizations or factor left prime factorizations and compute these factorizations if they exist.