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Computing real witness points of positive dimensional polynomial systems

文献类型：期刊论文

作者Wu, Wenyuan1; Reid, Greg2; Feng, Yong1
刊名THEORETICAL COMPUTER SCIENCE
出版日期2017-06-12
卷号681页码:217-231
关键词Numerical algebraic geometry Real algebraic geometry Homotopy continuation Singular critical points Real witness points
ISSN号0304-3975
DOI10.1016/j.tcs.2017.03.035
通讯作者Wu, WY (reprint author), Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing Key Lab Automated Reasoning & Cognit, Beijing, Peoples R China.
英文摘要We consider a critical point method for finding certain solution (witness) points on real solution components of real polynomial systems of equations. The method finds points that are critical points of the distance from a plane to the component with the requirement that certain regularity conditions are satisfied. In this paper we analyze the numerical stability and complexity of the method. We aim to find at least one well conditioned witness point on each connected component by using perturbation, path tracking and projection techniques. An optimal-direction strategy and an adaptive step size control strategy for path following on high dimensional components are given. (C) 2017 Elsevier B.V. All rights reserved.
资助项目Key Research Program of Frontier Sciences of CAS[QYZDB-SSW-SYS026] ; Key Research Program of Frontier Sciences of CAS[cstc2015jcyjys40001] ; NSFC[11471307] ; NSFC[11671377]
WOS研究方向Computer Science
语种英语
WOS记录号WOS:000404502300014
出版者ELSEVIER SCIENCE BV
源URL[http://172.16.51.4:88/handle/2HOD01W0/210]  
专题自动推理与认知研究中心
中国科学院重庆绿色智能技术研究院
通讯作者Wu, Wenyuan
作者单位1.Chinese Acad Sci, Chongqing Inst Green & Intelligent Technol, Chongqing Key Lab Automated Reasoning & Cognit, Beijing, Peoples R China
2.Western Univ, Appl Math Dept, London, ON, Canada
推荐引用方式
GB/T 7714		 Wu, Wenyuan,Reid, Greg,Feng, Yong. Computing real witness points of positive dimensional polynomial systems[J]. THEORETICAL COMPUTER SCIENCE,2017,681:217-231.
APA Wu, Wenyuan,Reid, Greg,&Feng, Yong.(2017).Computing real witness points of positive dimensional polynomial systems.THEORETICAL COMPUTER SCIENCE,681,217-231.
MLA Wu, Wenyuan,et al."Computing real witness points of positive dimensional polynomial systems".THEORETICAL COMPUTER SCIENCE 681(2017):217-231.

入库方式： OAI收割

来源：重庆绿色智能技术研究院

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