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

✍ Scribed by Marc Prevost

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 374 KB
Volume: 19
Category: Article
ISSN: 0377-0427
DOI: 10.1016/s0377-0427(87)80013-4

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✦ Synopsis

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 c) approaches also these poles. At last, a theorem of acceleration is given.

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