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Appears in Collections:Computing Science and Mathematics Conference Papers and Proceedings
Author(s): Lee, Wen-shin
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Title: From quotient-difference to generalized eigenvalues and sparse polynomial interpolation
Citation: Lee W (2007) From quotient-difference to generalized eigenvalues and sparse polynomial interpolation. In: SNC '07 Proceedings of the 2007 international workshop on Symbolic-numeric computation. Symbolic-Numeric Computation 2007 (SNC 2007), London, Ontario, Canada, 25.07.2007-27.07.2007. New York: ACM, pp. 110-116.
Issue Date: 25-Jul-2007
Conference Name: Symbolic-Numeric Computation 2007 (SNC 2007)
Conference Dates: 2007-07-25 - 2007-07-27
Conference Location: London, Ontario, Canada
Abstract: The numerical quotient-difference algorithm, or the qd-algorithm , can be used for determining the poles of a meromorphic function directly from its Taylor coefficients. We show that the poles computed in the qd-algorithm, regardless of their multiplicities, are converging to the solution of a generalized eigenvalue problem. In a special case when all the poles are simple, such generalized eigenvalue problem can be viewed as a reformulation of Prony's method, a method that is closely related to the Ben-Or/Tiwari algorithm for interpolating a multivariate sparse polynomial in computer algebra.
Status: VoR - Version of Record
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