登录 注册 会员服务 联系我们

On simple double zeros and badly conditioned zeros of analytic functions of 𝑛 variables

  • Published:2000-03-01 Issue:233 Volume:70 Page:319-327
  • ISSN:0025-5718
  • Container-title:Mathematics of Computation
  • language:en
  • Short-container-title:Math. Comp.

Author:

Dedieu Jean-Pierre,Shub Mike

Abstract

We give a numerical criterion for a badly conditioned zero of a system of analytic equations to be part of a cluster of two zeros.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference17 articles.

1. Monographs in Mathematics;Arnol′d, V. I.,1985

2. Progress in Mathematics;Berenstein, Carlos A.,1993

3. Complexity and Real Computation

4. Condition number analysis for sparse polynomial systems;Dedieu, Jean-Pierre,1997

5. [5] J. P. Dedieu, M. Shub, Multihomogeneous Newton’s Method. To appear in: Math. of Computation.

Cited by 18 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. On parametric semidefinite programming with unknown boundaries;Journal of Symbolic Computation;2024-11

2. Two-step Newton's method for deflation-one singular zeros of analytic systems;Journal of Symbolic Computation;2024-07

3. Computing Galois groups of Fano problems;Journal of Symbolic Computation;2023-11

4. Isolating clusters of zeros of analytic systems using arbitrary-degree inflation;Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation;2023-07-24

5. A certified iterative method for isolated singular roots;Journal of Symbolic Computation;2023-03
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