Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple

Mohamed Salah Boudellioua

doi:10.4236/ajcm.2012.21003

Computation of the Smith Form for Multivariate Polynomial Matrices Using Maple

American Journal of Computational Mathematics ◽

10.4236/ajcm.2012.21003 ◽

2012 ◽

Vol 02 (01) ◽

pp. 21-26 ◽

Cited By ~ 5

Author(s):

Mohamed Salah Boudellioua

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

Factorizations for a class of multivariate polynomial matrices

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-019-00694-z ◽

2019 ◽

Vol 31 (3) ◽

pp. 989-1004 ◽

Cited By ~ 1

Author(s):

Dong Lu ◽

Dingkang Wang ◽

Fanghui Xiao

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

A New Algorithm for General Factorizations of Multivariate Polynomial Matrices

Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation - ISSAC '17 ◽

10.1145/3087604.3087607 ◽

2017 ◽

Cited By ~ 3

Author(s):

Dong Lu ◽

Xiaodong Ma ◽

Dingkang Wang

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

Computing the characteristic polynomial of multivariate polynomial matrices given by straight-line programs

Mathematics and Computers in Simulation ◽

10.1016/s0378-4754(97)00085-2 ◽

1998 ◽

Vol 45 (1-2) ◽

pp. 39-57

Author(s):

Juan Llovet ◽

Bonifacio Castaño ◽

Raquel Martı́nez

Keyword(s):

Characteristic Polynomial ◽

Multivariate Polynomial ◽

Polynomial Matrices ◽

Straight Line ◽

Multivariate Polynomial Matrices ◽

Straight Line Programs

Download Full-text

Locally Invertible Multivariate Polynomial Matrices

Coding and Cryptography - Lecture Notes in Computer Science ◽

10.1007/11779360_33 ◽

2006 ◽

pp. 427-441 ◽

Cited By ~ 4

Author(s):

Ruben G. Lobo ◽

Donald L. Bitzer ◽

Mladen A. Vouk

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

A new approach to Bezout equations derived from multivariate polynomial matrices and real entire functions

Linear and Multilinear Algebra ◽

10.1080/03081087.2015.1008969 ◽

2015 ◽

Vol 63 (11) ◽

pp. 2318-2331

Author(s):

Koichi Suyama ◽

Nobuko Kosugi

Keyword(s):

Entire Functions ◽

Multivariate Polynomial ◽

Polynomial Matrices ◽

New Approach ◽

Multivariate Polynomial Matrices

Download Full-text

Primeness of multivariate polynomial matrices

Systems & Control Letters ◽

10.1016/s0167-6911(96)00056-4 ◽

1996 ◽

Vol 29 (3) ◽

pp. 139-145 ◽

Cited By ~ 47

Author(s):

Eva Zerz

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

On factor left prime factorization problems for multivariate polynomial matrices

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-021-00768-x ◽

2021 ◽

Author(s):

Dong Lu ◽

Dingkang Wang ◽

Fanghui Xiao

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Prime Factorization ◽

Multivariate Polynomial Matrices

Download Full-text

On the equivalence of multivariate polynomial matrices

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-015-0329-4 ◽

2015 ◽

Vol 28 (1) ◽

pp. 225-235 ◽

Cited By ~ 6

Author(s):

Dongmei Li ◽

Jinwang Liu ◽

Licui Zheng

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

On minor prime factorizations for multivariate polynomial matrices

Multidimensional Systems and Signal Processing ◽

10.1007/s11045-018-0566-4 ◽

2018 ◽

Vol 30 (1) ◽

pp. 493-502 ◽

Cited By ~ 3

Author(s):

Jiancheng Guan ◽

Weiqing Li ◽

Baiyu Ouyang

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text

On Rank Factorizations and Factor Prime Factorizations for Multivariate Polynomial Matrices

Journal of Systems Science and Complexity ◽

10.1007/s11424-018-7446-8 ◽

2018 ◽

Vol 31 (6) ◽

pp. 1647-1658 ◽

Cited By ~ 1

Author(s):

Jiancheng Guan ◽

Weiqing Li ◽

Baiyu Ouyang

Keyword(s):

Multivariate Polynomial ◽

Polynomial Matrices ◽

Multivariate Polynomial Matrices

Download Full-text