# 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)
• Accepted : 2018.02.01
• Published : 2018.11.30

#### 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.

#### Acknowledgement

Supported by : King Fahd University of Petroleum and Minerals

#### References

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