Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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ON THE LOCATION OF EIGENVALUES OF REAL CONSTANT ROW-SUM MATRICES

  • Hall, Frank J. (Department of Mathematics and Statistics Georgia State University) ;
  • Marsli, Rachid (Preparatory Mathematics Department King Fahd University of Petroleum and Minerals)
  • Received : 2017.11.03
  • Accepted : 2018.02.01
  • Published : 2018.11.30
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Abstract

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.

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References

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