Research Article

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

Volume: 19 Number: 1 May 1, 2022
EN

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

Abstract

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.

Keywords

References

  1. P. Lancaster, “Lambda-matrices and Vibrating Systems,” Pergamon press Inc, New York, 1966.
  2. B. Buchberger, “Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen Polynomideal,”. Ph.D. Thesis, Innsbruck, 1965.
  3. P. Tzekis, N. P. Karampetakis and A. I. Vardulakis, “On the division of polynomial matrices,” IMA Journal of Mathematical Control Information, 16, pp. 391-410, 1999.
  4. 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.
  5. Q.-G. Wang and C.-H. Zhou, “An efficient division algorithm for polynomial matrices,” IEEE Trans AC 31, no.2, pp. 165-166, 1986.
  6. I. Sailesh, I. Rishnarpo and C. H. Chem, “Two polynomial matrix operations,” IEEE Trans AC 29, vol. 29, no. 4, pp. 346-348, 1984.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

May 1, 2022

Submission Date

February 19, 2021

Acceptance Date

March 18, 2021

Published in Issue

Year 2022 Volume: 19 Number: 1

APA
Noufa, K., & Boudaoud, F. (2022). A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis. Cankaya University Journal of Science and Engineering, 19(1), 1-12. https://izlik.org/JA29JK69ME
AMA
1.Noufa K, Boudaoud F. A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis. CUJSE. 2022;19(1):1-12. https://izlik.org/JA29JK69ME
Chicago
Noufa, Kadda, and Fatima Boudaoud. 2022. “A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis”. Cankaya University Journal of Science and Engineering 19 (1): 1-12. https://izlik.org/JA29JK69ME.
EndNote
Noufa K, Boudaoud F (May 1, 2022) A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis. Cankaya University Journal of Science and Engineering 19 1 1–12.
IEEE
[1]K. Noufa and F. Boudaoud, “A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis”, CUJSE, vol. 19, no. 1, pp. 1–12, May 2022, [Online]. Available: https://izlik.org/JA29JK69ME
ISNAD
Noufa, Kadda - Boudaoud, Fatima. “A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis”. Cankaya University Journal of Science and Engineering 19/1 (May 1, 2022): 1-12. https://izlik.org/JA29JK69ME.
JAMA
1.Noufa K, Boudaoud F. A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis. CUJSE. 2022;19:1–12.
MLA
Noufa, Kadda, and Fatima Boudaoud. “A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis”. Cankaya University Journal of Science and Engineering, vol. 19, no. 1, May 2022, pp. 1-12, https://izlik.org/JA29JK69ME.
Vancouver
1.Kadda Noufa, Fatima Boudaoud. A Note on the Division of Multivariate Polynomial Matrices and Grobner Basis. CUJSE [Internet]. 2022 May 1;19(1):1-12. Available from: https://izlik.org/JA29JK69ME