کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
844875 908624 2006 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Development of the Levin-type algorithms for accelerating convergence of sequences
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی (عمومی)
پیش نمایش صفحه اول مقاله
Development of the Levin-type algorithms for accelerating convergence of sequences
چکیده انگلیسی

There are two aims of this paper. Firstly we shall introduce the determinantal representations of the new Levin-type algorithms and secondly we shall demonstrate further development of the Levin-type algorithms. We consider the use of the Levin-type algorithms to accelerate the convergence of scalar sequence and their effectiveness for approximating the solution of a given power series is illustrated. In process we shall demonstrate the convergence of each of the methods considered. The approximate solution of the super enhanced Levin algorithm and the efficient Levin algorithm are found to be substantially more accurate than the Cizek, Zamastil and Skala transformation and the iterated Aitken Δ2Δ2 algorithm.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Nonlinear Analysis: Theory, Methods & Applications - Volume 64, Issue 2, 15 January 2006, Pages 229–241
نویسندگان
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