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Convergence acceleration of non-scalar sequences with non-linear transformations

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  • Baron, G.
  • Wajc, S.

Abstract

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 properties are compared with those of other sequence transformation algorithms. The observed efficiency of some of the transformations introduced here seems to warrant a mathematical study.

Suggested Citation

  • Baron, G. & Wajc, S., 1981. "Convergence acceleration of non-scalar sequences with non-linear transformations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 23(2), pages 133-141.
    • Handle: RePEc:eee:matcom:v:23:y:1981:i:2:p:133-141
    DOI: 10.1016/0378-4754(81)90050-1
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