37 citations · 96 across the 28 of their papers we have counts for
30 papers
Powers, Roots, and Positivity
Charles R Johnson, Samir Mondal, Michael J. Tsatsomeros
There is a remarkable variety of natural generalizations of the notion of scalar positivity to square matrices. The lists and tables indicate those that we consider here; they are…
Perron similarities and the nonnegative inverse eigenvalue problem
Charles R. Johnson, Pietro Paparella
The longstanding nonnegative inverse eigenvalue problem (NIEP) is to determine which multisets of complex numbers occur as the spectrum of an entry-wise nonnegative matrix. Althoug…
-NIM trees: Characterization and Enumeration
Charles R. Johnson, George Tsoukalas, Greyson C. Wesley +1
Among those real symmetric matrices whose graph is a given tree , the maximum multiplicity that can be attained by an eigenvalue is known to be the path cover number of $…
Matricial Proofs of Some Classical Results about Critical Point Location
Charles R. Johnson, Pietro Paparella
The Gauss--Lucas and Bôcher--Grace--Marden theorems are classical results in the geometry of polynomials. Proofs of the these results are available in the literature, but the appro…
Characteristics of Eigenvalues Realized by Path-Connected Sets of Matrices
Alex Kokot, Charles Johnson
We consider path-connected sets of matrices and the induced paths between eigenvalues. We discuss the equivalence relation generated by these paths, and how it relates to the prese…
Eigenvalue Paths Arising From Matrix Paths
Eric Jankowski, Charles R. Johnson
It is known (see e.g. [2], [4], [5], [6]) that continuous variations in the entries of a complex square matrix induce continuous variations in its eigenvalues. If such a variation…