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ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS

文献类型：期刊论文

作者Hao, Zhiwei1,3; Jiang, Wenrong1,3; Li, Nan2; Zhi, Lihong1,3
刊名MATHEMATICS OF COMPUTATION
出版日期2020-03-01
卷号89期号:322页码:879-909
ISSN号0025-5718
DOI10.1090/mcom/3479
英文摘要Given a well-constrained polynomial system f associated with a simple multiple zero x of multiplicity mu, we give a computable separation bound for isolating x from the other zeros of f. When x is only given with a limited accuracy, we give a numerical criterion for isolating a nearby cluster of mu zeros of f (counting multiplicities) in a ball around x.
资助项目National Key Research Project of China[2018YFA0306702] ; National Natural Science Foundation of China[11571350] ; National Natural Science Foundation of China[11601378]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000504041600014
出版者AMER MATHEMATICAL SOC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/50504]  
专题中国科学院数学与系统科学研究院
通讯作者Hao, Zhiwei
作者单位1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
推荐引用方式
GB/T 7714		 Hao, Zhiwei,Jiang, Wenrong,Li, Nan,et al. ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS[J]. MATHEMATICS OF COMPUTATION,2020,89(322):879-909.
APA Hao, Zhiwei,Jiang, Wenrong,Li, Nan,&Zhi, Lihong.(2020).ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS.MATHEMATICS OF COMPUTATION,89(322),879-909.
MLA Hao, Zhiwei,et al."ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS".MATHEMATICS OF COMPUTATION 89.322(2020):879-909.

入库方式： OAI收割

来源：数学与系统科学研究院

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