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A nonlinear method for the acceleration of the convergence of multidimensional sequences

✍ Scribed by Alan C. Genz

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
277 KB
Volume
3
Category
Article
ISSN
0377-0427

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✦ Synopsis

In this paper a nonlinear method for the acceleration of multidimensional sequences {S k} is described. The method is developed by generalising a connection between the e-algorith~a and Pad6 approximants. A convergence result and an application to the numerical calculation of multiple integrals are briefly discussed.

πŸ“œ SIMILAR VOLUMES

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An iterative non-stationary method, depending on a parameter, has been obtained for accelerating the convergence of power series. When the parameter is equal to t I, the method of Salzer and Sdsz[4,6] is recovered (called Method A), and when the parameter is equal to the argument of the power series

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We discuss several methods for accelerating the convergence of the iterative solution of nonlinear equation systems commonly in tion they are solved by iteration (for a more detailed deuse and point to interrelations between them. In particular we invesscription see Ref. [9] and references therein)