کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4635672 1340713 2007 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Further development of the new algorithms for accelerating the convergence of functional-type sequences
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Further development of the new algorithms for accelerating the convergence of functional-type sequences
چکیده انگلیسی
There are two aims of this paper. Firstly, we shall introduce the determinantal formulae for the new functional-type algorithms and secondly we shall demonstrate further development of the new functional-type algorithms namely, ρ-algorithms and ϕ-algorithms. We consider the use of the new algorithms to accelerate the convergence of functional-type sequences 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 estimates derived using the ρ-algorithms and ϕ-algorithms are found to be very comparative with other similar type of algorithms.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 186, Issue 1, 1 March 2007, Pages 749-762
نویسندگان
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