کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9511854 1342140 2005 18 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات محاسباتی
پیش نمایش صفحه اول مقاله
On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type
چکیده انگلیسی
Let μ be a (possibly complex) measure on R+=[0,∞) such that ∫xnd|μ|(x)<+∞,n∈Z. Let r denote a rational function whose poles lie in C\R+ and r(∞)=0. We consider two-point rational interpolants to the function f(z)=∫dμ(x)z−x+r(z), where some poles are prescribed in advance and the others are left free. We show that if the prescribed poles are chosen conveniently, then sequences of two-point rational approximants converge geometrically to f on compact subsets of C\R+ away from the poles of r. Estimates of the rate of convergence along with some numerical experiments are also given.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Numerical Mathematics - Volume 53, Issue 1, April 2005, Pages 39-56
نویسندگان
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