The Strong Singular Value Property for Matrices

2025/07/11 by Cheung, Caleb, Shader, Bryan · 1 citation
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2507.08313

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.

Citations

• The bifurcation lemma for strong properties in the inverse eigenvalue problem of a graph
• Sign Patterns of Orthogonal Matrices and the Strong Inner Product Property
• Generalizations of the Strong Arnold Property and the minimum number of\n distinct eigenvalues of a graph

Cited by

• Patterns that require distinct singular values

Related

• Regular, pseudo-regular, and almost regular matrices
• Patterns that require distinct singular values
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• Eigenvalues, singular values, and the O'Shea-Sjamaar Theorem