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Smith Form of Triangular Multivariate Polynomial Matrix

Smith Form of Triangular Multivariate Polynomial Matrix

作     者:LIU Jinwang WU Tao LI Dongmei LIU Jinwang;WU Tao;LI Dongmei

作者机构:School of Mathematics and Computing SciencesHunan University of Science and TechnologyXiangtan 411201China 

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

年 卷 期:2023年第36卷第1期

页      面:151-164页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:supported by the National Natural Science Foundation of China under Grant Nos.11971161 and 11871207 

主  题:Degree-Lexicographical order equivalence of matrix multidimensional system multivariate polynomial matrix Smith form 

摘      要:The Smith form of a matrix plays an important role in the equivalence of *** is known that some multivariate polynomial matrices are not equivalent to their Smith *** this paper,the authors investigate mainly the Smith forms of multivariate polynomial triangular matrices and testify two upper multivariate polynomial triangular matrices are equivalent to their Smith forms respectively.

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