A review of two algorithms for acceleration of convergence of a sequence of vectors

The purposes of this article are threefold: (i) to review the role of Wynn's epsilon algorithm as a method for acceleration of convergence of an ordinary (scalar) series (possibly representing the value of a physical quantity), (ii) to review the role of Wynn's vector‐epsilon algorithm and...

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Vydané v:International journal of quantum chemistry Ročník 109; číslo 8; s. 1658 - 1665
Hlavný autor: Graves-Morris, P. R.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Hoboken Wiley Subscription Services, Inc., A Wiley Company 2009
Predmet:
BiCGStab
vector-epsilon algorithm
VPAcc
VPAStab
Wynn
ISSN:0020-7608, 1097-461X
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Popis
Shrnutí:The purposes of this article are threefold: (i) to review the role of Wynn's epsilon algorithm as a method for acceleration of convergence of an ordinary (scalar) series (possibly representing the value of a physical quantity), (ii) to review the role of Wynn's vector‐epsilon algorithm and another vector Padé‐type method in cases where a number of such series should be treated simultaneously, and (iii) to point out that these general methods for the acceleration of convergence of a vector‐valued series are readily applied to the solution of linear and nonlinear systems of equations. © 2009 Wiley Periodicals, Inc. Int J Quantum Chem, 2009
Bibliografia:ArticleID:QUA21966
istex:140A92F83AAE809EAD047570E3A5B93E4159EAFE
ark:/67375/WNG-V7K78SFW-8
ISSN:0020-7608
1097-461X
DOI:10.1002/qua.21966