Calculation of poles of meromorphic functions with q-d, r-s and ϵ-algorithms. Acceleration of these processes

摘要

We study (Sections 1 and 2) the speed of convergence of the q-d algorithm to poles of a meromorphic function in order to accelerate it.In Section 3 and 4, we show that the quotient of two successive vertical terms of two well known algorithms (r-s and ϵ) approaches also these poles. At last, a theorem of acceleration is given.