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

doi:10.1090/mcom/3479

CSpace

	ON ISOLATION OF SIMPLE MULTIPLE ZEROS AND CLUSTERS OF ZEROS OF POLYNOMIAL SYSTEMS
	Hao, Zhiwei 1,2; Jiang, Wenrong 1,2; Li, Nan 3; Zhi, Lihong 1,2
	2020-03-01
发表期刊	MATHEMATICS OF COMPUTATION
ISSN	0025-5718
卷号	89 期号:322 页码:879-909
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.
DOI	10.1090/mcom/3479
收录类别	SCI
语种	英语
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
WOS类目	Mathematics, Applied
WOS记录号	WOS:000504041600014
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50505
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.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Guangdong, 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.