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Computational Complexity of Sparse Real Algebraic Function Interpolation

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Computational Algebraic Geometry

Part of the book series: Progress in Mathematics ((PM,volume 109))

Abstract

We analyze the computational complexity of the problem of interpolating real algebraic functions given by a black box for their evaluations, extending the results of [GKS 90b, GKS 91b] on interpolation of sparse rational functions.

Supported in part by Leibniz Center for Research in Computer Science, by the DFG, Grant KA 673/4–1 and by the SERC Grant GR-E 68297

Supported in part by NSF Grant DMS-9024624

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© 1993 Birkhäuser Boston

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Grigoriev, D., Karpinski, M., Singer, M. (1993). Computational Complexity of Sparse Real Algebraic Function Interpolation. In: Eyssette, F., Galligo, A. (eds) Computational Algebraic Geometry. Progress in Mathematics, vol 109. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-2752-6_7

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  • DOI: https://doi.org/10.1007/978-1-4612-2752-6_7

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-7652-4

  • Online ISBN: 978-1-4612-2752-6

  • eBook Packages: Springer Book Archive

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