Zobrazeno 1 - 10
of 239
pro vyhledávání: '"BREZINSKI, CLAUDE"'
This paper examines a number of extrapolation and acceleration methods, and introduces a few modifications of the standard Shanks transformation that deal with general sequences. One of the goals of the paper is to lay out a general framework that en
Externí odkaz:
http://arxiv.org/abs/2007.05716
Autor:
Brezinski, Claude1 (AUTHOR) claude.brezinski@univ-lille.fr, Redivo-Zaglia, Michela2 (AUTHOR) michela.redivozaglia@unipd.it
Publikováno v:
Mathematics (2227-7390). Mar2024, Vol. 12 Issue 5, p751. 10p.
Pad\'e approximants are rational functions whose series expansion match a given series as far as possible. These approximants are usually written under a rational form. In this paper, we will show how to write them also under two different barycentri
Externí odkaz:
http://arxiv.org/abs/1404.6917
When a sequence of numbers is slowly converging, it can be transformed into a new sequence which, under some assumptions, could converge faster to the same limit. One of the most well--known sequence transformation is Shanks transformation which can
Externí odkaz:
http://arxiv.org/abs/1402.2473
In this paper, we show how any Pad\'e approximant $[p/q]_f$ of a formal power series $f$ can be written under two different barycentric rational forms. These form depend on $p+q+1$ parameters which can be almost arbitrarily chosen.
Comment: A ne
Comment: A ne
Externí odkaz:
http://arxiv.org/abs/1307.4245