|
|||||
|
|
| New Results on the Equivalence of Bivariate Polynomial Matrices | |
| 作者姓名： | ZHENG Xiaopeng LU Dong WANG Dingkang XIAO Fanghui |
| 作者单位： | 1. KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences;2. School of Mathematical Sciences, University of Chinese Academy of Sciences;3. School of Mathematics, Southwest Jiaotong University;4. MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University |
| 基金项目： | supported by the National Natural Science Foundation of China under Grant Nos. 12171469,12001030 and 12201210；;the Fundamental Research Funds for the Central Universities under Grant No. 2682022CX048； |
| 摘 要： | This paper investigates the equivalence problem of bivariate polynomial matrices. A necessary and sufficient condition for the equivalence of a square matrix with the determinant being some power of a univariate irreducible polynomial and its Smith form is proposed. Meanwhile, the authors present an algorithm that reduces this class of bivariate polynomial matrices to their Smith forms, and an example is given to illustrate the effectiveness of the algorithm. In addition, the authors generalize ... |
New Results on the Equivalence of Bivariate Polynomial Matrices |
|
| ZHENG Xiaopeng,LU Dong,WANG Dingkang,XIAO Fanghui.New Results on the Equivalence of Bivariate Polynomial Matrices[J].Journal of Systems Science and Complexity,2023,36(1):77-95. | |
| Authors: | Zheng Xiaopeng Lu Dong Wang Dingkang Xiao Fanghui |
| Institution: | 1.KLMM, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100190, China ;2.School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China ;3.School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, China ;4.MOE-LCSM, School of Mathematics and Statistics, Hunan Normal University, Changsha, 410081, China ; |
| Abstract: | Journal of Systems Science and Complexity - This paper investigates the equivalence problem of bivariate polynomial matrices. A necessary and sufficient condition for the equivalence of a square... |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |