In this paper, a modified 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 specific 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. H. (2013). A modified LLL algorithm for change of ordering of Grobner basis. International Journal of Nonlinear Analysis and Applications, 4(1), 59–65. https://doi.org/10.22075/ijnaa.2013.27
MLA
Borujeni, M., Basiri, A., Rahmany, S., & Borzabadi, A. H. "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. H. (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
CHICAGO
Borujeni, M., Basiri, A., Rahmany, S. & Borzabadi, A. H., "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
VANCOUVER
Borujeni M., Basiri A., Rahmany S., Borzabadi A. H. A modified LLL algorithm for change of ordering of Grobner basis. IJNAA. 2013;4(1):59–65. doi: 10.22075/ijnaa.2013.27
International Journal of Nonlinear Analysis and Applications