English

The Strong Singular Value Property for Matrices

Rings and Algebras 2025-07-14 v1

Abstract

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 values of a matrix with a prescribed zero-nonzero pattern.

Keywords

Cite

@article{arxiv.2507.08313,
  title  = {The Strong Singular Value Property for Matrices},
  author = {Caleb Cheung and Bryan Shader},
  journal= {arXiv preprint arXiv:2507.08313},
  year   = {2025}
}
R2 v1 2026-07-01T03:56:01.624Z