The spectral region of 4-cycle row-stochastic matrices is exactly the real interval [-1,1] together with all complex a+ib satisfying a + |b| <= 1 and (b^2 + a^2 + a)^2 + 2a^2 - b^2 >= 0.
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On the Spectral Region of 4-Cycle Stochastic Matrices
The spectral region of 4-cycle row-stochastic matrices is exactly the real interval [-1,1] together with all complex a+ib satisfying a + |b| <= 1 and (b^2 + a^2 + a)^2 + 2a^2 - b^2 >= 0.