37 citations · 96 across the 28 of their papers we have counts for
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Perron Spectratopes and the Real Nonnegative Inverse Eigenvalue Problem
Charles R. Johnson, Pietro Paparella
Call an -by- invertible matrix a \emph{Perron similarity} if there is a real non-scalar diagonal matrix such that is entrywise nonnegative. We give two c…
The critical exponent for generalized doubly nonnegative matrices
Xuchen Han, Charles Johnson, Pietro Paparella
It is known that the critical exponent (CE) for conventional, continuous powers of -by- doubly nonnegative (DN) matrices is . Here, we consider the larger class of diago…
Solution Theory for Systems of Bilinear Equations
Charles R. Johnson, Helena Šmigoc, Dian Yang
Bilinear systems of equations are defined, motivated and analyzed for solvability. Elementary structure is mentioned and it is shown that all solutions may be obtained as rank one…
The critical exponent for continuous conventional powers of doubly nonnegative matrices
Charles R. Johnson, Brian Lins, Olivia Walch
We prove that there exists an exponent beyond which all continuous conventional powers of n-by-n doubly nonnegative matrices are doubly nonnegative. We show that this critical expo…
Symmetric Word Equations in Two Positive Definite Letters
Christopher J. Hillar, Charles R. Johnson
A generalized word in two positive definite matrices A and B is a finite product of nonzero real powers of A and B. Symmetric words in positive definite A and B are positive defini…