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	Incomplete Grobner basis as a preconditioner for polynomial systems
	Yang Sun ; Yu-Hui Tao ; Feng-Shan Bai
	2010-10-12 ; 2010-10-12
关键词	Practical Theoretical or Mathematical/ linear systems mathematics computing polynomials/ incomplete Grobner basis polynomial system numerical method sparse linear system nonlinear algebraic system homotopy preconditioner method deficient system/ C7310 Mathematics computing C4130 Interpolation and function approximation (numerical analysis)
中文摘要	Precondition plays a critical role in the numerical methods for large and sparse linear systems. It is also true for nonlinear algebraic systems. In this paper incomplete Grobner basis (IGB) is proposed as a preconditioner of homotopy methods for polynomial systems of equations, which transforms a deficient system into a system with the same finite solutions, but smaller degree. The reduced system can thus be solved faster. Numerical results show the efficiency of the preconditioner. [All rights reserved Elsevier].
语种	英语
出版者	Elsevier Science B.V. ; Netherlands
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81269]
专题	清华大学
推荐引用方式 GB/T 7714	Yang Sun,Yu-Hui Tao,Feng-Shan Bai. Incomplete Grobner basis as a preconditioner for polynomial systems[J],2010, 2010.
APA	Yang Sun,Yu-Hui Tao,&Feng-Shan Bai.(2010).Incomplete Grobner basis as a preconditioner for polynomial systems..
MLA	Yang Sun,et al."Incomplete Grobner basis as a preconditioner for polynomial systems".(2010).

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