Found 15 Documents (Results 1–15)
On minor left prime factorization problem for multivariate polynomial matrices. (English) Zbl 07903358
MSC:
13-XX
On the equivalence problem of Smith forms for multivariate polynomial matrices. arXiv:2407.06649
Preprint, arXiv:2407.06649 [cs.SC] (2024).
Equivalence and reduction of bivariate polynomial matrices to their Smith forms. (English) Zbl 1514.15019
New remarks on the factorization and equivalence problems for a class of multivariate polynomial matrices. (English) Zbl 1497.15017
An extended GCRD algorithm for parametric univariate polynomial matrices and application to parametric Smith form. (English) Zbl 1502.13068
Reviewer: Gema Maria Diaz Toca (Murcia)
Solving multivariate polynomial matrix Diophantine equations with Gröbner basis method. (English) Zbl 1483.11265
An improvement of the rational representation for high-dimensional systems. (English) Zbl 1483.13048
On factor left prime factorization problems for multivariate polynomial matrices. (English) Zbl 1473.15023
An extended GCD algorithm for parametric univariate polynomials and application to parametric Smith normal form. (English) Zbl 07300103
Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 442-449 (2020).
Further results on the factorization and equivalence for multivariate polynomial matrices. (English) Zbl 07300088
Mantzaflaris, Angelos (ed.), Proceedings of the 45th international symposium on symbolic and algebraic computation, ISSAC ’20, Kalamata, Greece, July 20–23, 2020. New York, NY: Association for Computing Machinery (ACM). 328-335 (2020).
WITHDRAWN: A new algorithm for computing \(\mu\)-bases of the univariate polynomial vector. arXiv:2011.10924
Preprint, arXiv:2011.10924 [cs.SC] (2020); retraction notice ibid.
Extending the GVW algorithm to local ring. (English) Zbl 1467.13049
Arreche, Carlos (ed.), Proceedings of the 43rd international symposium on symbolic and algebraic computation, ISSAC 2018, New York, NY, USA, July 16–19, 2018. New York, NY: Association for Computing Machinery (ACM). 271-278 (2018).
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