The rate of convergence of many sequences of numbers can be dramatically increased by non-linear sequence-to-sequence transformations. Several transformations of non scalar (vectorial or matricial) sequences are proposed in this paper. For a broad set of examples, their convergence accelerating prop
β¦ LIBER β¦
Acceleration of convergence of general linear sequences by the Shanks transformation
β Scribed by Avram Sidi
- Publisher
- Springer-Verlag
- Year
- 2011
- Tongue
- English
- Weight
- 469 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0029-599X
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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