Document Type
Article
Publication Date
2020
Keywords
positive semidefnite matrices, integer-diagonal, trace
Digital Object Identifier (DOI)
https://doi.org/10.1515/spma-2020-0002
Abstract
We prove that an n-by-n complex positive semidefinite matrix of rank r whose graph is connected, whose diagonal entries are integers, and whose non-zero off-diagonal entries have modulus at least one, has trace at least n+r−1.
Rights Information
This work is licensed under a Creative Commons Attribution 4.0 License.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Special Matrices, v. 8, issue 1, p. 14-16
Scholar Commons Citation
Mitchell, Lon, "A Trace Bound for Integer-diagonal Positive Semidefinite Matrices" (2020). Mathematics and Statistics Faculty Publications. 86.
https://digitalcommons.usf.edu/mth_facpub/86
