@techreport{AlSaafin2020-04-03Suffi-49263,
  year={2020},
  doi={10.1515/spma-2020-0009},
  series={Konstanzer Schriften in Mathematik},
  title={Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue},
  number={390},
  author={Al-Saafin, Doaa and Garloff, Jürgen},
  note={Erschienen in: Special Matrices ; 8 (2020), 1. - S. 98-103. - de Gruyter. - eISSN 2300-7451}
}

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    <dc:contributor>Al-Saafin, Doaa</dc:contributor>
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    <dcterms:abstract xml:lang="eng">Let A = [a&lt;sub&gt;ij&lt;/sub&gt;] be a real symmetric matrix. If f: (0,oo) --&gt; [0,oo) is a Bernstein function, a sufficient condition for the matrix [f(a&lt;sub&gt;ij&lt;/sub&gt;)] to have only one positive eigenvalue is presented. By using this result, new results for a symmetric matrix with exactly one positive eigenvalue, e.g., properties of its Hadamard powers, are derived.</dcterms:abstract>
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    <dcterms:title>Sufficient conditions for symmetric matrices to have exactly one positive eigenvalue</dcterms:title>
    <dc:contributor>Garloff, Jürgen</dc:contributor>
    <dc:creator>Al-Saafin, Doaa</dc:creator>
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