23 citations · 110 across the 26 of their papers we have counts for
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math.MG2015
The Volume of the Trace-Nonnegative Polytope via the Irwin-Hall Distribution
Pietro Paparella, Gregory K. Taylor
In this work, we find an explicit expression for the volume of the trace nonnegative polytope via a generalization of the Irwin-Hall distribution. This volume is an upper bound for…
math.RA2015★ 16 cited
Realizing Suleimanova Spectra via Permutative Matrices
Pietro Paparella
A permutative matrix is a square matrix such that every row is a permutation of the first row. A constructive version of a result attributed to Suleimanova is given via permutative…
math.RA2015★ 23 cited
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…