23 citations · 110 across the 26 of their papers we have counts for
4 papers · 1 filter
On the realizability of the critical points of a realizable list
Sarah L Hoover, Daniel A. McCormick, Pietro Paparella +1
The nonnegative inverse eigenvalue problem (NIEP) is to characterize the spectra of entrywise nonnegative matrices. A finite multiset of complex numbers is called realizable if it…
A Short and Elementary Proof of the Two-sidedness of the Matrix-Inverse
Pietro Paparella
An elementary proof of the two-sidedness of the matrix-inverse is given using only linear independence and the reduced row-echelon form of a matrix. In addition, it is shown that a…
Eisenstein's criterion, Fermat's last theorem, and a conjecture on powerful numbers
Pietro Paparella
Given integers , we define monic polynomials , , and with the property that is a zero of if and only if the triple satisfies…
The NIEP
Charles R. Johnson, Carlos Marijuán, Pietro Paparella +1
The nonnegative inverse eigenvalue problem (NIEP) asks which lists of complex numbers (counting multiplicity) occur as the eigenvalues of some -by- entry-wise nonnegative…