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Decidability and Undecidability in the Limit

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Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 11))

Abstract

In some problems of numerical analysis or optimization, we are faced with non-convergent sequences and have to obtain information from them (for examples see [23] , [24] , [26] , [30] and [37]). Sometimes we would like to know what kind of non-convergence it is, or how many accumulation points there are, or what the period is. In this chapter, we study this type of problem and try to determine what problems are decidable and what problems are not decidable.

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© 1988 Springer-Verlag Berlin Heidelberg

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Delahaye, JP. (1988). Decidability and Undecidability in the Limit. In: Sequence Transformations. Springer Series in Computational Mathematics, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-61347-0_2

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  • DOI: https://doi.org/10.1007/978-3-642-61347-0_2

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-64802-1

  • Online ISBN: 978-3-642-61347-0

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