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	Real solution isolation with multiplicity of zero-dimensional triangular systems
	Zhang ZhiHai ; Fang Tian ; Xia BiCan
	2011
关键词	real solution isolation local multiplicity local ring polynomial system solving ALGORITHM
英文摘要	Existing algorithms for isolating real solutions of zero-dimensional polynomial systems do not compute the multiplicities of the solutions. In this paper, we define in a natural way the multiplicity of solutions of zero-dimensional triangular polynomial systems and prove that our definition is equivalent to the classical definition of local (intersection) multiplicity. Then we present an effective and complete algorithm for isolating real solutions with multiplicities of zero-dimensional triangular polynomial systems using our definition. The algorithm is based on interval arithmetic and square-free factorization of polynomials with real algebraic coefficients. The computational results on some examples from the literature are presented.; Computer Science, Information Systems; SCI(E); EI; 0; ARTICLE; 1; 60-69; 54
语种	英语
出处	SCI ; EI
出版者	science china information sciences
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157610]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang ZhiHai,Fang Tian,Xia BiCan. Real solution isolation with multiplicity of zero-dimensional triangular systems. 2011-01-01.

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