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math.RA2018
A proof of the elliptical range theorem via Kippenhahn's theorem
Pietro Paparella, Luis J. Ramirez, Yen-Fen Wang
The elliptical range theorem asserts that the field of values (or numerical range) of a two-by-two matrix with complex entries is an elliptical disk, the foci of which are the eige…
math.SP2018
Realizing Suleĭmanova spectra via permutative matrices, II
Pietro Paparella, Amber R. Thrall
In this work, the real nonnegative inverse eigenvalue problem is solved for a particular class of permutative matrix. The necessary and sufficient condition there is also shown to…