Spectra of tetradiagonal real Toeplitz matrices


This page is a part of a joint work
by S. Grudsky, R. Higuera García, E. Maximenko, F. Vásquez Rojas.

We consider non-symmetric real Toeplitz matrices
generated by Laurent polynomials of the form

a(t) = a−1t−1+a0t0+a2t2.


Choose the coefficients:


  

  

  


The image of the symbol is shown by a black curve.

The Schmidt and Spitzer set consists of three red segments.

The eigenvalues correspond to the Toeplitz matrix Tn(a).

Please, select n




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