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On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices 被引量:1

On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices
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摘要 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 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. 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 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.
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2018年第6期1647-1658,共12页 系统科学与复杂性学报(英文版)
基金 supported by the National Science Foundation of China under Grant Nos.11371131 and 11501192
关键词 FACTOR PRIME FACTORIZATIONS MULTIVARIATE polynomial matrices RANK FACTORIZATIONS Factor prime factorizations multivariate polynomial matrices rank factorizations
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