2 papers
math.CO2025
Patterns that require distinct singular values
Caleb Cheung, Bryan Shader
Patterns of m by n matrices of term-rank m for which every real matrix with the pattern has no multiple singular value are characterized. This generalizes Fiedler's characterizatio…
math.RA2025
The Strong Singular Value Property for Matrices
Caleb Cheung, Bryan Shader
A new property, the strong singular value property, is introduced, developed, and utilized to study the problem of which lists of nonnegative real numbers occur as the singular val…