Elimination ideal and bivariate resultant over finite fields

Author:

Villard Gilles1ORCID

Affiliation:

1. CNRS, France

Publisher

ACM

Reference59 articles.

1. [ 1 ] M.-E. Alonso , E.  Becker, M. -F. Roy , and T.   Wörmann . Zeros, multiplicities , and idempotents for zero-dimensional systems . In Algorithms in Algebraic Geometry and Applications , pages 1– 15 . PM vol. 143, Birkhaüser, 1996. [1] M.-E. Alonso, E. Becker, M.-F. Roy, and T. Wörmann. Zeros, multiplicities, and idempotents for zero-dimensional systems. In Algorithms in Algebraic Geometry and Applications, pages 1–15. PM vol. 143, Birkhaüser, 1996.

2. [ 2 ] E.  Becker , T.  Mora, M.  G. Marinari , and C.   Traverso . The Shape of the Shape Lemma. In ISSAC ’94 : Proceedings of the international symposium on Symbolic and algebraic computation , pages 129– 133 . ACM Press, 1994. [2] E. Becker, T. Mora, M. G. Marinari, and C. Traverso. The Shape of the Shape Lemma. In ISSAC ’94: Proceedings of the international symposium on Symbolic and algebraic computation, pages 129–133. ACM Press, 1994.

3. A Uniform Approach for the Fast Computation of Matrix-Type Padé Approximants

4. [ 4 ] J.  Berthomieu , V.  Neiger, and M.   Safey El Din . Faster Change of Order Algorithm for Gröbner Bases under Shape and Stability Assumptions. In ISSAC ’22 : Proceedings of the international symposium on Symbolic and algebraic computation , pages 409– 418 . ACM Press, 2022. [4] J. Berthomieu, V. Neiger, and M. Safey El Din. Faster Change of Order Algorithm for Gröbner Bases under Shape and Stability Assumptions. In ISSAC ’22: Proceedings of the international symposium on Symbolic and algebraic computation, pages 409–418. ACM Press, 2022.

5. [ 5 ] V.  Bhargava , S.  Ghosh, Z.   Guo , M.   Kumar , and C.   Umans . Fast Multivariate Multipoint Evaluation Over All Finite Fields. In IEEE 63rd Annual Symposium on Foundations of Computer Science , pages 221– 232 . IEEE, 2022. [5] V. Bhargava, S. Ghosh, Z. Guo, M. Kumar, and C. Umans. Fast Multivariate Multipoint Evaluation Over All Finite Fields. In IEEE 63rd Annual Symposium on Foundations of Computer Science, pages 221–232. IEEE, 2022.

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Bivariate polynomial reduction and elimination ideal over finite fields;Journal of Symbolic Computation;2025-03

2. High-order lifting for polynomial Sylvester matrices;Journal of Complexity;2024-02

3. Fast Integral Bases Computation;Lecture Notes in Computer Science;2024

4. Chinese Remainder Theorem for bivariate lexicographic Gröbner bases;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3