• 제목/요약/키워드: $Ger{\check{s}}gorin$ disc

검색결과 1건 처리시간 0.014초

ON THE LOCATION OF EIGENVALUES OF REAL CONSTANT ROW-SUM MATRICES

  • Hall, Frank J.;Marsli, Rachid
    • 대한수학회보
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    • 제55권6호
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    • pp.1691-1701
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    • 2018
  • New inclusion sets are obtained for the eigenvalues of real matrices for which the all 1's vector is an eigenvector, i.e., the constant row-sum real matrices. A number of examples are provided. This paper builds upon the work of the authors in [7]. The results of this paper are in terms of $Ger{\check{s}}gorin$ discs of the second type. An application of the main theorem to bounding the algebraic connectivity of connected simple graphs is obtained.