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计算紧半代数集的同调方法

  • 高犇 ,
  • 陈玉福 ,
  • 张智勇
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  • 中国科学院研究生院数学科学学院,北京 100049

收稿日期: 2009-09-18

  网络出版日期: 2010-11-15

A co-homology method for computing compact semi-algebraic sets

  • GAO Ben ,
  • CHEN Yu-Fu ,
  • ZHANG Zhi-Yong
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  • School of Mathematical Sciences,Graduate University,Chinese Academy of Sciences,Beijing 100049,China

Received date: 2009-09-18

  Online published: 2010-11-15

摘要

提出一个关于计算紧半代数集构成排列的0维Betti-数和1维Betti-数的算法.这个算法的复杂度为单指数复杂度.

本文引用格式

高犇 , 陈玉福 , 张智勇 . 计算紧半代数集的同调方法[J]. 中国科学院大学学报, 2010 , 27(6) : 838 -846 . DOI: 10.7523/j.issn.2095-6134.2010.6.016

Abstract

We describe an algorithm for computing the zero-th and first Betti numbers of the union of compact semi-algebraic sets.The complexity of the algorithm is single exponential.

参考文献


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