A modified LLL algorithm for change of ordering of Grobner basis

Authors

  • A. Basiri School of Mathematics and Computer Science, Damghan University, Damghan, Iran
  • A. H. Borzabadi School of Mathematics and Computer Science, Damghan University, Damghan, Iran
  • M. Borujeni School of Mathematics and Computer Science, Damghan University, Damghan, Iran
  • S. Rahmany School of Mathematics and Computer Science, Damghan University, Damghan, Iran
Abstract:

In this paper, a modied version of LLL algorithm, which is a an algorithm with output-sensitivecomplexity, is presented to convert a given Grobner basis with respect to a specic order of a polynomialideal I in arbitrary dimensions to a Grobner basis of I with respect to another term order.Also a comparison with the FGLM conversion and Buchberger method is considered.

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Journal title

volume 4  issue 1

pages  59- 65

publication date 2013-01-01

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