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math.SP2026
On the Spectral Region of 4-Cycle Stochastic Matrices
Brando Vagenende, Brecht Verbeken, Andres Algaba +1
We study the spectrum of 4-cycle row-stochastic matrices. For real eigenvalues the spectral region is [-1,1]. For nonreal eigenvalues a+ib we derive necessary conditions in terms o…
math.SP2025
Eigenvalue regions and realising monotone stochastic matrices
Brando Vagenende, Brecht Verbeken, Marie-Anne Guerry
Eigenvalues of stochastic matrices have been studied from two complementary perspectives. The individual eigenvalues are characterised through the well-established Karpelevich regi…