Homotopy Simplex Pivot Algorithm

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	Homotopy Simplex Pivot Algorithm
	Xu SL(徐森林)1; Liu SL(刘书麟)2
	1991
发表期刊	Acta Mathematica Scientia
ISSN	0252-9602
卷号	11 期号:1 页码:111
摘要	In this paper, we study the properties of the zero set of a homotopy H: I m × 0, 1→ R m and its piecewise linear approximation ? δ i : I m × 0, 1→ R m These properties are very important for the homotopy simplex pivot algorithm. However, we prove that for almost every polynomial mapping the zero set of linear homotopy H ( z, t ) =tp ( z ) + (1– t ) Q ( z ) consists of q = ∏ j = 1 n q j disjoint differential curves, and the zero set of its piecewise linear approximation ? δ i , consists of some broken lines. When δ i → 0 , these broken lines tend to differential curves in the zero set of H.
语种	英语
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27611
专题	中国科学院数学与系统科学研究院
作者单位	1.中国科学技术大学 2.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Xu SL,Liu SL. Homotopy Simplex Pivot Algorithm[J]. Acta Mathematica Scientia,1991,11(1):111.
APA	徐森林,&刘书麟.(1991).Homotopy Simplex Pivot Algorithm.Acta Mathematica Scientia,11(1),111.
MLA	徐森林,et al."Homotopy Simplex Pivot Algorithm".Acta Mathematica Scientia 11.1(1991):111.