TY - JOUR
AU - Díaz-Mendoza, C.
AU - González-Vera, P.
AU - Orive, R.
T1 - On the convergence of two-point partial Padé approximants for meromorphic functions of Stieltjes type
LA - eng
PY - 2005
SP - 39
EP - 56
T2 - Applied Numerical Mathematics
SN - 0168-9274
VL - 53
IS - 1
AB - 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. © 2004 IMACS. Published by Elsevier B.V. All rights reserved.
DO - 10.1016/J.APNUM.2004.10.001
UR - https://portalciencia.ull.es/documentos/5e3add89299952629a02509e
DP - Dialnet - Portal de la Investigación
ER -