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Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods
Joint Authors
Feng, Erbao
Luo, Zhongxuan
Zhang, Jielin
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We present an algorithm that computes the singular points of projective plane algebraic curves and determines their multiplicities and characters.
The feasibility of the algorithm is analyzed.
We prove that the algorithm has the polynomial time complexity on the degree of the algebraic curve.
The algorithm involves the combined applications of homotopy continuation methods and a method of root computation of univariate polynomials.
Numerical experiments show that our algorithm is feasible and efficient.
American Psychological Association (APA)
Luo, Zhongxuan& Feng, Erbao& Zhang, Jielin. 2014. Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods. Discrete Dynamics in Nature and Society،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-455736
Modern Language Association (MLA)
Luo, Zhongxuan…[et al.]. Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods. Discrete Dynamics in Nature and Society No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-455736
American Medical Association (AMA)
Luo, Zhongxuan& Feng, Erbao& Zhang, Jielin. Computing Singular Points of Projective Plane Algebraic Curves by Homotopy Continuation Methods. Discrete Dynamics in Nature and Society. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-455736
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455736