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  <doc>
    <id>376</id>
    <completedYear/>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
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    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Design approximation problems for linear-phase nonrecursive digital filters</title>
    <enrichment key="UBICOIdent">000610</enrichment>
    <enrichment key="UBICOquelle">Journal of Approximation Theory, 116(2002)2,  S. 240-256, 0021-9045</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>digital filters</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>linear-phase filters</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Remez algorithm</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>Parks-McClellan algorithm</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>377</id>
    <completedYear/>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
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    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Frequency and magnitude response design approximation problems for nonlinear-phase nonrecursive digital filters</title>
    <enrichment key="UBICOIdent">000611</enrichment>
    <enrichment key="UBICOquelle">Applicable Analysis, 81( 2002)2, S. 357-390, 0003-6811</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>filter design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>digital filters</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>complex approximation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>complete systems</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>378</id>
    <completedYear/>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
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    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
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    <title language="eng">Bicriterial design of digital filters</title>
    <enrichment key="UBICOIdent">000612</enrichment>
    <enrichment key="UBICOquelle">Optimization and Engineering, 3(2002)1,  S. 5-29, 1389-4420</enrichment>
    <author>
      <firstName>Alexander</firstName>
      <lastName>Potchinkov</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>bicriterial optimization</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>reference point approximation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>filter design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>digital filters</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>compromise filters</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>379</id>
    <completedYear/>
    <publishedYear>2000</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
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    <type>article</type>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">The direct solution of nonconvex nonlinear FIR filter design problems by a SIP method</title>
    <enrichment key="UBICOIdent">000613</enrichment>
    <enrichment key="UBICOquelle">Optimization and Engineering, 2000, vol. 1, iss. 2, S.123-154, 1389-4420</enrichment>
    <author>
      <firstName>Stephan</firstName>
      <lastName>Görner</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>Alexander</firstName>
      <lastName>Potchinkov</lastName>
    </author>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>filter design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>SQP methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>semi-infinite programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>FIR filters</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>380</id>
    <completedYear/>
    <publishedYear>2001</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
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    <type>article</type>
    <publisherName/>
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    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">FIR filter design problems of simultaneous approximation of magnitude and phase and magnitude and group delay</title>
    <enrichment key="UBICOIdent">000614</enrichment>
    <enrichment key="UBICOquelle">Mathematical Methods in the Applied Sciences, 24(2001)8,  S. 561-581, 1099-1476</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>filter design</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>digital filters</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>simultaneous approximation</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>magnitude-phase problem</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>magnitude-group delay problem</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>381</id>
    <completedYear/>
    <publishedYear>2001</publishedYear>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>book</type>
    <publisherName>Aachen : Shaker</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Lineare Optimierung : Eine Vorlesung</title>
    <identifier type="isbn">3-8265-9615-3</identifier>
    <enrichment key="UBICOIdent">000615</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Lineare Optimierung</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Simplex-Algorithmus</value>
    </subject>
    <subject>
      <language>deu</language>
      <type>uncontrolled</type>
      <value>Innere-Punkte-Verfahren</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>382</id>
    <completedYear/>
    <publishedYear>2001</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>bookpart</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-11-01</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Semi-infinite programming : discretization methods</title>
    <enrichment key="UBICOIdent">000616</enrichment>
    <enrichment key="UBICOquelle">Floudas, C.A. (Hrsg.): Encyclopedia of Optimization, vol. V, Boston ; London ; Dordrecht : Kluwer Acad. Publ.,  2001, S. 100-107, 0-7923-6932-7</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>semi-infinite programming</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>discretization methods</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>558</id>
    <completedYear/>
    <publishedYear>2002</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2002-12-17</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On the degeneracy of the IMRT optimisation problem</title>
    <enrichment key="UBICOIdent">000824</enrichment>
    <enrichment key="UBICOquelle">Medical Physics, 29(2002)11, S. 2584-2589, 0094-2405</enrichment>
    <author>
      <firstName>Markus</firstName>
      <lastName>Alber</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>G.</firstName>
      <lastName>Meedt</lastName>
    </author>
    <author>
      <firstName>F.</firstName>
      <lastName>Nüsslin</lastName>
    </author>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>radiation therapy planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>intensity modulated radiation therapy</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>1146</id>
    <completedYear/>
    <publishedYear>2001</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2003-08-21</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">On generic quadratic penalty embeddings for nonlinear optimization problems</title>
    <enrichment key="UBICOIdent">001474</enrichment>
    <enrichment key="UBICOquelle">Optimization, 50 (2001), 279-295  ISSN 0233-1934</enrichment>
    <author>
      <firstName>W.</firstName>
      <lastName>Gomez Bofil</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>2684</id>
    <completedYear/>
    <publishedYear>2005</publishedYear>
    <thesisYearAccepted/>
    <language>deu</language>
    <pageFirst>107</pageFirst>
    <pageLast>114</pageLast>
    <pageNumber/>
    <edition/>
    <issue>18</issue>
    <volume>9</volume>
    <type>articlenr</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2006-01-19</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="deu">Optimierungsgestützte Bestrahlungsplanung für die Krebsbehandlung</title>
    <parentTitle language="deu">Forum der Forschung</parentTitle>
    <identifier type="issn">0947-6989</identifier>
    <enrichment key="UBICOIdent">003249</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>Markus</firstName>
      <lastName>Alber</lastName>
    </author>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>3517</id>
    <completedYear/>
    <publishedYear>2007</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2007-05-23</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Intensity modulated radiotherapy treatment planning by use of a barrier-penalty multiplier method</title>
    <abstract language="eng">The use of nonlinear functions describing biological effects has recently become a major goal in connection with intensity modulated radiotherapy (IMRT) planning models for cancer treatment. In this paper, we present a new biological model for this purpose and discuss the solution of the large-scale nonlinear optimization problems originating from it. The model includes equivalent uniform dose and partial volume constraints and employs the tumor control probability as the objective. The resulting optimization problems are convex and nonconvex constrained optimization problems with several thousands of variables, for which gradients of the involved functions are available, but the computation of Hessians is numerically too costly. It is suggested to solve these problems with a barrier-penalty multiplier method by Polyak, Ben-Tal and Zibulevsky, where this algorithm is modified according to ideas which are motivated by a related Lagrangian barrier algorithm of Conn, Gould, and Toint. In particular, the subproblems in the algorithm are solved by a conjugate gradient method, since the spectrum of the Hessian of the Lagrangian at a solution of such problem indicates fast (local) convergence of the objective function values to a good approximate (locally) optimal value. Some characteristic numbers showing the average numerical performance of the algorithm are tabulated for various types of tumors and a set of 127 clinical cases in total. Its capabilities and typical behavior also are illustrated explicitly by a computed therapy plan for a difficult clinical case of a larynx tumor.</abstract>
    <enrichment key="UBICOIdent">004207</enrichment>
    <enrichment key="UBICOquelle">Optimization Methods and Software 22 (2007), S. 391-411, 1055-6788</enrichment>
    <author>
      <firstName>Markus</firstName>
      <lastName>Alber</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>radiation therapy treatment planning</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>intensity modulated radiation therapy</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>IMRT</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>barrier algorithms</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>multiplier methods</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>nonlinear rescaling method</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>barrier-penalty functions</value>
    </subject>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
  <doc>
    <id>4248</id>
    <completedYear/>
    <publishedYear>2009</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>bookpart</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>2009-10-08</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Continuous optimization of beamlet intensities for intensity modulated photon and proton radiotheraphy.</title>
    <enrichment key="UBICOIdent">005022</enrichment>
    <enrichment key="UBICOquelle">Pardalos, Panos M. (Hrsg.): Handbook of optimization in medicine . - New York : Springer, 2009, S. 83 -122, 978-0-387-09769-5 (Springer optimization and its applications ; 26 )</enrichment>
    <author>
      <firstName>Rembert</firstName>
      <lastName>Reemtsen</lastName>
    </author>
    <submitter>
      <firstName>...</firstName>
      <lastName>Administrator</lastName>
    </submitter>
    <author>
      <firstName>Markus</firstName>
      <lastName>Alber</lastName>
    </author>
    <collection role="old_institute" number="01021">LS Mathematik, Ingenieurmathematik</collection>
    <collection role="institutes" number="1307">FG Ingenieurmathematik und Numerik der Optimierung</collection>
  </doc>
</export-example>
