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 and 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. doi: 10.22075/ijnaa.2013.27
MLA
Borujeni,M , , Basiri,A , , Rahmany,S , and 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
M Borujeni, A Basiri, S Rahmany and 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
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