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  <doc>
    <id>22</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <completedDate>1989-07-03</completedDate>
    <publishedDate>1989-07-03</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Multivariate Rational Interpolation: Reconstruction of Rational Functions.</title>
    <abstract language="eng">In this paper we consider the problem of reconstructing a multivariate rational function, when only its values at sufficiently many points are known. We use for the reconstruction of bivariate rational functions a bivariate rational interpolation operator investigated by Siemaszko [7] and a new one, compare both by examples in a Computer Algebra system, and present their multivariate generalizations. {\bf Keywords:} Multivariate rational interpolation, reconstruction, symbolic computation.</abstract>
    <identifier type="serial">SC-89-04</identifier>
    <identifier type="opus3-id">22</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-227</identifier>
    <enrichment key="SourceTitle">Appeared in: Multivar. Approximation Theory IV, C.K. Chui et al. (eds.) ISNM Vol.90, Birkhaeuser Verlag 1989, pp. 249-256</enrichment>
    <author>H. Michael Möller</author>
    <series>
      <title>ZIB-Report</title>
      <number>SC-89-04</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Multivariante rational interpolation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>reconstruction</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>symbolic computation</value>
    </subject>
    <collection role="ddc" number="000">Informatik, Informationswissenschaft, allgemeine Werke</collection>
    <collection role="msc" number="41A20">Approximation by rational functions</collection>
    <collection role="msc" number="65D05">Interpolation</collection>
    <collection role="institutes" number="">ZIB Allgemein</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/22/SC-89-04.pdf</file>
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