New Results on the Equivalence of Bivariate Polynomial Matrices
查看参考文献34篇
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文摘
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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 the main result to the non-square case. |
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来源
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Journal of Systems Science and Complexity
,2023,36(1):77-95 【核心库】
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DOI
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10.1007/s11424-023-1304-z
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关键词
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Bivariate polynomial matrix
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matrix equivalence
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smith form
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地址
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1.
Academy of Mathematics and Systems Science,Chinese Academy of Sciences, KLMM, Beijing, 100190
2.
School of Mathematical Sciences,University of Chinese Academy of Sciences, Beijing, 100049
3.
School of Mathematics,Southwest Jiaotong University, Chengdu, 610031
4.
MOE-LCSM,School of Mathematics and Statistics,Hunan Normal University, Changsha, 410081
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1009-6124 |
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学科
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数学 |
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基金
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国家自然科学基金
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the National Key Research and Development Program
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the Fundamental Research Funds for the Central Universities
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文献收藏号
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CSCD:7551065
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参考文献 共
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