A generalization of the G-transformation and the related algorithms

In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent to a generalized qd-algorithm. Applications of the generalization of the G-transfor...

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Vydáno v:Applied numerical mathematics Ročník 60; číslo 12; s. 1221 - 1230
Hlavní autoři: Brezinski, Claude, He, Yi, Hu, Xing-Biao, Sun, Jian-Qing
Médium: Journal Article
Jazyk:angličtina
Vydáno: Elsevier B.V 01.12.2010
Témata:
Algorithms
Computation
Equivalence
G-algorithm
G-transformation
Infinite integrals
Mathematical models
qd-algorithm
rs-algorithm
rs-algorithm
G-transformation
qd-algorithm
G-algorithm
ISSN:0168-9274, 1873-5460
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Shrnutí:In this paper, a generalization of the G-transformation is proposed together with the corresponding auxiliary rs-algorithm for implementation. We show that the related generalization of the rs-algorithm is equivalent to a generalized qd-algorithm. Applications of the generalization of the G-transformation to the computation of infinite integrals are also given.
Bibliografie:ObjectType-Article-1
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ISSN:0168-9274
1873-5460
DOI:10.1016/j.apnum.2010.03.008