A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis

Yıl 2022, Cilt: 19 Sayı: 1, 1 - 12, 01.05.2022

Kadda Noufa , Fatima Boudaoud

Öz

This paper has two main objectives, the first objective is to define an algorithm for the
right (left) division of multivariate polynomial matrices while the second is to generalize
the concept of Grobner basis to ideals generated by a finite set of multivariate polynomial
matrices.

Anahtar Kelimeler

Multivariate polynomial matrices, Monomial matrix, Division, Ideal, Grobner basis.

Kaynakça

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• B. Codenotti and G. Lotti, “A fast algorithm for the division of two polynomial matrices,” IEEE Trans AC, vol. 34, no.4, pp. 446-448, 1989.
• Q.-G. Wang and C.-H. Zhou, “An efficient division algorithm for polynomial matrices,” IEEE Trans AC 31, no.2, pp. 165-166, 1986.
• I. Sailesh, I. Rishnarpo and C. H. Chem, “Two polynomial matrix operations,” IEEE Trans AC 29, vol. 29, no. 4, pp. 346-348, 1984.