A Note on Eigenvalues Location for Trace Zero Doubly Stochastic Matrices

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Luca Benvenuti

Abstract

Some results on the location of the eigenvalues of trace zero doubly stochastic matrices are provided. A result similar to that provided in [H. Perfect and L. Mirsky. Spectral properties of doublyâstochastic matrices. Monatshefte fur Mathematik, 69(1):35â57, 1965.] for doubly stochastic matrices is given.

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