1 Ocak 2014 Dergi makalesi Açık Erişim

Karow, Michael; Kressner, Daniel; Mengi, Emre

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  <identifier identifierType="URL">https://aperta.ulakbim.gov.tr/record/62091</identifier>
  <creators>
    <creator>
      <creatorName>Karow, Michael</creatorName>
      <givenName>Michael</givenName>
      <familyName>Karow</familyName>
      <affiliation>TU Berlin, Dept Math, D-10623 Berlin, Germany</affiliation>
    </creator>
    <creator>
      <creatorName>Kressner, Daniel</creatorName>
      <givenName>Daniel</givenName>
      <familyName>Kressner</familyName>
      <affiliation>EPF Lausanne, SB MATHICSE ANCHP, CH-1015 Lausanne, Switzerland</affiliation>
    </creator>
    <creator>
      <creatorName>Mengi, Emre</creatorName>
      <givenName>Emre</givenName>
      <familyName>Mengi</familyName>
      <affiliation>Koc Univ, Dept Math, TR-34450 Rumelifeneri Yolu, Sariyer Istanbu, Turkey</affiliation>
    </creator>
  </creators>
  <titles>
    <title>Nonlinear Eigenvalue Problems With Specified Eigenvalues</title>
  </titles>
  <publisher>Aperta</publisher>
  <publicationYear>2014</publicationYear>
  <dates>
    <date dateType="Issued">2014-01-01</date>
  </dates>
  <resourceType resourceTypeGeneral="Text">Journal article</resourceType>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://aperta.ulakbim.gov.tr/record/62091</alternateIdentifier>
  </alternateIdentifiers>
  <relatedIdentifiers>
    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsIdenticalTo">10.1137/130927462</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="http://www.opendefinition.org/licenses/cc-by">Creative Commons Attribution</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">This work considers eigenvalue problems that are nonlinear in the eigenvalue parameter. Given such a nonlinear eigenvalue problem T, we are concerned with finding the minimal backward error such that T has a set of prescribed eigenvalues with prescribed algebraic multiplicities. We consider backward errors that only allow constant perturbations, which do not depend on the eigenvalue parameter. While the usual resolvent norm addresses this question for a single eigenvalue of multiplicity one, the general setting involving several eigenvalues is significantly more difficult. Under mild assumptions, we derive a singular value optimization characterization for the minimal perturbation that addresses the general case.</description>
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