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ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS
Hao, Zhiwei1,2; Jiang, Wenrong1,2; Li, Nan3; Zhi, Lihong1,2
2020-03-01
Source PublicationMATHEMATICS OF COMPUTATION
ISSN0025-5718
Volume89Issue:322Pages:879-909
AbstractGiven 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.
DOI10.1090/mcom/3479
Indexed BySCI
Language英语
Funding ProjectNational Key Research Project of China[2018YFA0306702] ; National Natural Science Foundation of China[11571350] ; National Natural Science Foundation of China[11601378]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000504041600014
PublisherAMER MATHEMATICAL SOC
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50505
Collection中国科学院数学与系统科学研究院
Corresponding AuthorHao, Zhiwei
Affiliation1.Chinese Acad Sci, Key Lab Math Mechanizat, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
3.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, Peoples R China
Recommended Citation
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.
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