permutative matrices, nonnegative matrices, inverse problems
An n × n permutative matrix is a matrix in which every row is a permutation of the first row. In this paper, the result given by Paparella in [P. Paparella. Realizing Suleimanova spectra via permutative matrices. Electron. J. Linear Algebra, 31:306–312, 2016.] is extended to a more general lists of real and complex numbers, and a negative partial answer to a question posed by him is given.
Soto, Ricardo L..
"Permutative nonnegative matrices with prescribed spectrum",
Electronic Journal of Linear Algebra,
Volume 32, pp. 380-390.