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Gilewicz, J.; Leopold, E.
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
AbstractAbstract
[en] We prove the inequalities allowing to determine the best Pade approximant in the finite rectangular set of approximants in the Pade table
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Dec 1980; 13 p
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AbstractAbstract
No abstract available
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Journal Article
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Rocky Mountain Journal of Mathematics; v. 4(2); p. 269-272
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Gilewicz, Jacek.
Centre Universitaire de Toulon, 83 (France); Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
Centre Universitaire de Toulon, 83 (France); Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
AbstractAbstract
[en] The quantities calculated by P. Wynn's Epsilon-algorithm are values of Pade's approximants at a precise point of the complex plane. As a result the properties of the Pade approximants must have repercussions on the properties of the Epsilon-algorithm. However where the convergence theory is concerned this relationship has never been established. The purpose of the present note is to fill in this gap
[fr]
Les quantites calculees par l'Epsilon-algorithme de P. Wynn sont des valeurs des approximants de Pade en un point precis du plan complexe. Par consequent les proprietes des approximants de Pade doivent avoir une repercussion sur les proprietes de l'Epsilon-algorithme. Cependant en ce qui concerne la theorie de convergence cette relation n'a jamais pu etre etablie. Cette note est consacree a combler cette lacuneOriginal Title
Epsilon-algorithme en termes d'approximants de Pade
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Jan 1976; 17 p; Seminar on numerical analysis; Grenoble, France; 15 Jan 1976
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AbstractAbstract
No abstract available
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Israel Physical Society, Jerusalem; Bulletin of the Israel Physical Society; v. 23; p. 81-82; 1977; p. 81-82; Israel Physical Society 1977 annual meeting; Ramat Gan, Israel; 27 - 28 Mar 1977; Published in summary form only.
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Miscellaneous
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Gilewicz, J.
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
AbstractAbstract
[en] The philosophy of the Best Pade Approximant (BPA) problem is presented by means of some examples. After that, the numerical algorithms of choice of the BPA from the finite triangular Pade table, some theoretical results and some encouraging results of application of these algorithms to no justified theoretically cases are described
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Jun 1982; 15 p
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Report
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Pindor, M.
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
Centre National de la Recherche Scientifique, 13 - Marseille (France). Centre de Physique Theorique
AbstractAbstract
[en] Once it is observed that there exists an Anti-Baker Algorithm (A.-B.A.) it is an obvious task to modify Longman Algorithm (L.A.) to diminish an amount of calculations to get a desired approximant
[fr]
Une fois notee l'existence d'un algorithme Anti-Baker (A.-B.A.) il est facile de modifier l'algorithme de Longman (L.A.) pour diminuer le volume des calculs necessaires a l'obtention de l'approximant desirePrimary Subject
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Apr 1976; 8 p
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Report
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[en] A reformulation of rational approximants to holomorphic function in Csup(n) is given. A convergence theorem providing the multidegree of convergence for (μ, 1)-approximants under certain restrictions is discussed. (author)
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International Centre for Theoretical Physics, Trieste (Italy); v. 3 p. 25-34; ISBN 92-0-130576-1; 
; 1976; IAEA; Vienna; International seminar course on complex analysis and its applications; Trieste, Italy; 21 May - 8 Aug 1975; IAEA-SMR--18/59
; 1976; IAEA; Vienna; International seminar course on complex analysis and its applications; Trieste, Italy; 21 May - 8 Aug 1975; IAEA-SMR--18/59
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Book
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No abstract available
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Triangle meeting on weak interactions; Smolenice, Czechoslovakia; 4 Jun 1973; Letter-to-the-editor.
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Journal Article
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Conference
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Acta Physica Slovaca; v. 24(3); p. 205-208
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[en] Theorems are discussed which indicate that while convergence in measure is the best that can be proved for the sequence as a whole, there is much more to be said about subsequences. It is concluded that the Pade conjecture remains today unproved and uncontradicted. (U.S.)
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Journal Article
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Rocky Mountain Journal of Mathematics; v. 4(2); p. 141-149
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AbstractAbstract
[en] The linear independence of the values at certain rational points of generalized polylogarithms, which generate the algebra of all analytic functions with three logarithmic branch points, is established. Hermite-Pade approximations for an Angelesco-Nikishin system defined by a complete binary tree are used
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Available from http://dx.doi.org/10.1070/SM2001v192n08ABEH000590; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
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Sbornik. Mathematics; ISSN 1064-5616; ; v. 192(8); p. 1225-1239
; v. 192(8); p. 1225-1239
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