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A list of A list {\Lambda} of complex numbers is said to be realizable if itis the spectrum of a nonnegative matrix. {\Lambda} is said to be universallyrealizable (UR) if it is realizable for each possible Jordan canonical formallowed by {\Lambda}. In this paper, using companion matrices and applying aprocedure by \v{S}migoc, is provides a sufficient condition for the universalrealizability of left half-plane spectra. It is also shown how the effect ofadding a negative real number to a not UR left half-plane list of complexnumbers, makes the new list UR, and a family of left half-plane lists that areUR is characterized.

Smigoc's glue for universal realizability in the left half-plane