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In this work, the real nonnegative inverse eigenvalue problem is solved for aparticular class of permutative matrix. The necessary and sufficient conditionthere is also shown to be sufficient for the symmetric nonnegative inverseeigenvalue problem. A result due to Johnson and Paparella [MR3452738, LinearAlgebra Appl. 493 (2016), 281--300] is extended to include normalized liststhat satisfy the new sufficient condition.

Realizing Sule\u{i}manova spectra via permutative matrices, II