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  • 标题:Trichotomy for Integer Linear Systems Based on Their Sign Patterns
  • 本地全文:下载
  • 作者:Kei Kimura ; Kazuhisa Makino
  • 期刊名称:LIPIcs : Leibniz International Proceedings in Informatics
  • 电子版ISSN:1868-8969
  • 出版年度:2012
  • 卷号:14
  • 页码:613-623
  • DOI:10.4230/LIPIcs.STACS.2012.613
  • 出版社:Schloss Dagstuhl -- Leibniz-Zentrum fuer Informatik
  • 摘要:In this paper, we consider solving the integer linear systems, i.e., given a matrix A in R^{m*n}, a vector b in R^m, and a positive integer d, to compute an integer vector x in D^n such that Ax 1. This, for example, includes the existing results that quadratic systems and Horn systems can be solved in pseudo-polynomial time.
  • 关键词:Integer linear system; Sign pattern; Complexity index; TVPI system; Horn system
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