Faster algorithms for computing Hong’s bound on absolute positiveness

Author:

Mehlhorn Kurt,Ray Saurabh

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference7 articles.

1. A comparative study of two real root isolation methods;Akritas;Nonlinear Analysis: Modelling and Control,2005

2. Akritas, A.G., Vincent’s theorem in algebraic manipulation. PhD thesis, North Carolina State University, 1978.

3. Akritas, A.G., Bocharov, A., Strzeboński, A., 1994. Implementation of real root isolation algorithms in Mathematica. In: Abstracts of the International Conference on Interval and Computer Algebra Methods in Science and Engineering, Interval ’94, pp. 23–27.

4. Polynomial real root isolation using Descartes’ rule of signs;Collins,1976

5. Computational Geometry: Algorithms and Applications;de Berg,1997

Cited by 14 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. Improved bounds on absolute positiveness of multivariate polynomials;Journal of Symbolic Computation;2020-11

2. Corrigendum to “Faster algorithms for computing Hong's bound on absolute positiveness” [J. Symb. Comput. 45 (2010) 677–683];Journal of Symbolic Computation;2018-07

3. Improving root separation bounds;Journal of Symbolic Computation;2018-01

4. Improvements of Lagrange's bound for polynomial roots;Journal of Symbolic Computation;2017-09

5. Improved Bounds on Absolute Positiveness of Multivariate Polynomials;Proceedings of the 2017 ACM on International Symposium on Symbolic and Algebraic Computation;2017-07-23

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