On a method of acceleration of convergence | Zendy

Sin Hitotumatu | Zendy

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On a method of acceleration of convergence

Author(s) -

Sin Hitotumatu

Publication year - 1967

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1195195653

Subject(s) - mathematics , acceleration , convergence (economics) , calculus (dental) , classical mechanics , medicine , physics , economics , orthodontics , economic growth

In a recent paper [4], the author discussed the numerical computation of incomplete or complete gamma function through power series and continued fraction. When we use the continued fraction, the convergence of the successive approximative values is rather slow, so that a certain accelaration is desirable. In the present paper, the author discusses a method of acceleration, which is a slight modification of Aitken's formula and of quite general character. The author is indepted to CDC 6600 in the computing center at Brookhaven National Laboratory, for various numerical experiments.

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