首页|On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices
On Minor Left Prime Factorization Problem for Multivariate Polynomial Matrices
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A new necessary and sufficient condition for the existence of minor left prime factorizations of multivariate polynomial matrices without full row rank is presented.The key idea is to establish a relationship between a matrix and any of its full row rank submatrices.Based on the new result,the authors propose an algorithm for factorizing matrices and have implemented it on the computer algebra system Maple.Two examples are given to illustrate the effectiveness of the algorithm,and experimental data shows that the algorithm is efficient.
Free modulesGröbner basesminor left prime(MLP)multivariate polynomial matricespolynomial matrix factorizations
LU Dong、WANG Dingkang、XIAO Fanghui
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School of Mathematics,Southwest Jiaotong University,Chengdu 610031,China
KLMM,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China
School of Mathematical Sciences,University of Chinese Academy of Sciences,Beijing 100049,China
MOE-LCSM,School of Mathematics and Statistics,Hunan Normal University,Changsha 410081,China
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