This research project seeks to construct partitions of equiangular tight frames (ETF) whose spectral norms satisfy bounds specified in the work of Marcus, Spielman, and Srivastava on their positive solution of the Kadison-Singer problem.
2. Find partitions that give sharper bounds than those given by MSS.
3. Extend results to other constructions of conference matrices.
1. James Rosado, Hieu D. Nguyen, and Lei Cao, Partitions of equiangular tight frames, Linear Algebra and Its Applications 526 (2017), 95-120. DOI 10.1016/j.laa.2017.03.022. [PDF]
CURRENT PROJECT MEMBERS:
Dr. Hieu Nguyen (since June 2015)
PAST PROJECT MEMBERS
Patrick Bray (undergraduate Math student, June 2017 - Jan 2018)
James Rosado (former graduate Math student, June 2015 - July 2017)
Dr. Lei Cao (Georgian Court University, June 2016 - April 2017)
CONTACT INFORMATION:
Please email Hieu Nguyen (Rowan University) at nguyen@rowan.edu
if you would like to learn more about this project.