In this paper, a modied version of LLL algorithm, which is a an algorithm with output-sensitive complexity, is presented to convert a given Grobner basis with respect to a specic order of a polynomial ideal 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.
Borujeni, M., Basiri, A., Rahmany, S., Borzabadi, A. (2013). A modified LLL algorithm for change of ordering of Grobner basis. International Journal of Nonlinear Analysis and Applications, 4(1), 59-65. doi: 10.22075/ijnaa.2013.27
MLA
M. Borujeni; A. Basiri; S. Rahmany; A. H. Borzabadi. "A modified LLL algorithm for change of ordering of Grobner basis". International Journal of Nonlinear Analysis and Applications, 4, 1, 2013, 59-65. doi: 10.22075/ijnaa.2013.27
HARVARD
Borujeni, M., Basiri, A., Rahmany, S., Borzabadi, A. (2013). 'A modified LLL algorithm for change of ordering of Grobner basis', International Journal of Nonlinear Analysis and Applications, 4(1), pp. 59-65. doi: 10.22075/ijnaa.2013.27
VANCOUVER
Borujeni, M., Basiri, A., Rahmany, S., Borzabadi, A. A modified LLL algorithm for change of ordering of Grobner basis. International Journal of Nonlinear Analysis and Applications, 2013; 4(1): 59-65. doi: 10.22075/ijnaa.2013.27