TYBES OFRESULTANT MATRICES FOR MULTIGRADED POLYNOMIAL SYSTEMS

المؤلفون

  • Mariam R. Abusetta Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya
  • Najla J. Alawis Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya
  • Mohamed M. Alargat Mathematics Department, Science Faculty, Al-Asmarya University, Zliten, Libya

DOI:

https://doi.org/10.59743/jbs.v33i2.194

الملخص

Resultant computation eliminates variables is an important tool to answer posed by the given polynomial system. Dating back from as much as 200 years ago, it has become a classical algebraic tool to determine whether a given polynomial system has a common root without explicitly solving for the roots. The study of resultant goes back to the classical work of Bezout, Sylvester, Cayley, Macaulay and Dixon.

المراجع

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Weiming Wang and Xinze Lain (2005). Computations of Multi-resulant with mechanization. Jpurnal of Applied Mathematics and Compution. Volume 1710, Issue 1. Pages 237-257.

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J. F. Canny and I. Z. Emiris (2000). A subdivision based algorithm for the sparse resultant. Journal of ACM. Volume 47. Issue 3.

D. Cox, J. Little and D. O. Shea (2006). Ideal, Varieties and algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra (3rd ed.). Springer- Verlag. New York- berlin- Heidelberg.

Grigoriev, D.,Karpinski, M., and Singer, M., (1990) Fast Parallel Algorithms for sparse Multivariate polynomial interpolation Over Finite Field. Slam J. Computation. Volume 19, No. 6, Pages 1059-1063

D. Kapur and T. Sexena (1996). SparsityConsederations in Dixon Resultants. ACM Press Proc. IssAc. Pages 187.

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التنزيلات

منشور

2020-12-31

إصدار

القسم

مقالات

كيفية الاقتباس

TYBES OFRESULTANT MATRICES FOR MULTIGRADED POLYNOMIAL SYSTEMS (M. R. Abusetta, N. J. Alawis, & M. M. Alargat). (2020). مجلة العلوم الأساسية, 33(2), 119-131. https://doi.org/10.59743/jbs.v33i2.194

الأعمال الأكثر قراءة لنفس المؤلف/المؤلفين