activity
20242026
most citedThe Factor Width Rank of a Matrix

2 citations · 2 across the 5 of their papers we have counts for

collaborators

5 papers

astro-ph.EP2026

JWST and HST Confirm Transit Timing Variations for the Ultra-Hot Jupiter TOI-2109 b

Michael Greklek-McKeon, Julie Inglis, Nicole L. Wallack +9

Ultra-hot Jupiters are a rare yet valuable subset of exoplanets that can help elucidate both the internal properties of their host stars as well as the orbital evolution of close-i…

math.CO2026

Enumeration of Laplacian integral and {-1,0,1}-diagonalizable graphs

Nathaniel Johnston, Sarah Plosker, Luis M. B. Varona

A graph with Laplacian matrix is called Laplacian integral if the eigenvalues of are all integers, and it is called -diagonalizable if has a full set of eig…

quant-ph2025

Approximating quantum states by states of low rank

Nathaniel Johnston, Chi-Kwong Li

Given a positive integer k, it is natural to ask for a formula for the distance between a given density matrix (i.e., mixed quantum state) and the set of density matrices of rank a…

math.FA2025

Generalizing the Cauchy-Schwarz inequality: Hadamard powers and tensor products

Nathaniel Johnston, Sarah Plosker, Charles Torrance +1

We explore and generalize a Cauchy-Schwarz-type inequality originally proved in [Electronic Journal of Linear Algebra 35, 156-180 (2019)]: $\|\mathbf{v}^2\|\|\mathbf{w}^2\| - \lang…

math.CO2024★ 2 cited

The Factor Width Rank of a Matrix

Nathaniel Johnston, Shirin Moein, Sarah Plosker

A matrix is said to have factor width at most if it can be written as a sum of positive semidefinite matrices that are non-zero only in a single principal submatri…