کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4583501 1333908 2008 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Lattice basis reduction algorithms and multi-dimensional continued fractions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Lattice basis reduction algorithms and multi-dimensional continued fractions
چکیده انگلیسی

In this paper we develop a new multi-dimensional continued fraction algorithm and three known multi-dimensional continued fraction algorithms from the lattice basis reduction multisequence synthesis (LBRMS) algorithm with respect to the different choice of a parameter and so a continued fraction expansion is associated with a basis transformation. The new algorithm is similar to Dai's continued fraction algorithm [Z.D. Dai, K.P. Wang, D.F. Ye, m-Continued fraction algorithm on multi-Laurent series, Acta Arith. (2006) 1–21] but improves the latter effectively.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Finite Fields and Their Applications - Volume 14, Issue 4, November 2008, Pages 979-991