Smith Form of Triangular Multivariate Polynomial Matrix

被引：0
|
作者：
LIU Jinwang [1 ]
WU Tao [1 ]
LI Dongmei [1 ]
机构：
[1] School of Mathematics and Computing Sciences, Hunan University of Science and Technology
来源：
Journal of Systems Science & Complexity | 2023年 / 36卷 / 01期
基金：
中国国家自然科学基金;
关键词：
D O I：
暂无
中图分类号：
O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
The Smith form of a matrix plays an important role in the equivalence of matrix. It is known that some multivariate polynomial matrices are not equivalent to their Smith forms. In 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.
引用
收藏
页码：151 / 164
页数：14
相关论文
共 50 条
  • [41] CONDITIONS FOR REDUCTION OF A POLYNOMIAL MATRIX TO DIAGONAL FORM
    AKHMETOV.LK
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1971, (01): : 8 - &
  • [42] General solution to systems in polynomial matrix form
    Hou, M
    Pugh, AC
    Hayton, GE
    INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (09) : 733 - 743
  • [43] Almost Periodic Polynomial Factorization of Some Triangular Matrix Functions
    Karlovich, Yuri I.
    Spitkovsky, Ilya M.
    TOPICS IN OPERATOR THEORY: OPERATORS, MATRICES AND ANALYTIC FUNCTIONS, VOL 1, 2010, 202 : 337 - +
  • [44] Graded polynomial identities on upper block triangular matrix algebras
    Di Vincenzo, Onofrio Mario
    Spinelli, Ernesto
    JOURNAL OF ALGEBRA, 2014, 415 : 50 - 64
  • [45] REDUCTION OF REGULAR MATRIX POLYNOMIAL TO QUASI-TRIANGULAR TYPE
    KAZIMIRS.PS
    GRINIV, LM
    DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1972, (11): : 973 - &
  • [46] On a generalized Jordan form of an infinite upper triangular matrix
    Kostic, Aleksandra
    Petrovic, Zoran Z.
    Pucanovic, Zoran S.
    Roslavcev, Maja
    LINEAR & MULTILINEAR ALGEBRA, 2021, 69 (08): : 1534 - 1542
  • [47] COMPUTING THE BLOCK TRIANGULAR FORM OF A SPARSE-MATRIX
    POTHEN, A
    FAN, CJ
    ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE, 1990, 16 (04): : 303 - 324
  • [48] BIPARTITE GRAPHS AND AN OPTIMAL BORDERED TRIANGULAR FORM OF A MATRIX
    SANGIOVANNIVINCENTELLI, A
    BICKART, TA
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1979, 26 (10): : 880 - 889
  • [49] REDUCIBILITY OF POLYNOMIAL-EQUATION SYSTEMS TO BLOCK-TRIANGULAR FORM
    BEKLEMISHEVA, LA
    DIFFERENTIAL EQUATIONS, 1982, 18 (11) : 1313 - 1323
  • [50] OPTIMAL BORDERED TRIANGULAR FORM OF A SPARSE MATRIX.
    Sangiovanni Vincentelli, Alberto
    Alta Frequenza, 1975, 44 (11): : 696 - 710
12345