Bosuwan N.Mahidol University2024-03-192024-03-192024-01-01Demonstratio Mathematica Vol.57 No.1 (2024)https://repository.li.mahidol.ac.th/handle/20.500.14594/97686In this article, we analyze a rate of attraction of poles of an approximated function to poles of incomplete multipoint Padé approximants and use it to derive a sharp bound on the geometric rate of convergence of multipoint Hermite-Padé approximants to a vector of approximated functions in the Montessus de Ballore theorem when a table of interpolation points is Newtonian.MathematicsArticleSCOPUS10.1515/dema-2023-01402-s2.0-8518724716623914661