For doubly-infinite tridiagonal non-Hermitian Hamiltonians, the singular values can be expressed as poles of a Green's function built from two matrix continued fractions.
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Resonances and continued-fraction Green's functions in non-Hermitian Bose-Hubbard-like quantum models
For doubly-infinite tridiagonal non-Hermitian Hamiltonians, the singular values can be expressed as poles of a Green's function built from two matrix continued fractions.