Mathematics Faculty Articles
Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices
Document Type
Article
Publication Date
2-1-2010
Publication Title
Electronic Journal of Linear Algebra
Keywords
Hadamard product, Nonnegative matrix, Positive semidefinite matrix, Positive definite matrix, Spectral radius, Kronecker product, Matrix inequality
ISSN
1081-3810
Volume
20
First Page
90
Last Page
94
Abstract
X. Zhan has conjectured that the spectral radius of the Hadamard product of two square nonnegative matrices is not greater than the spectral radius of their ordinary product. We prove Zhan’s conjecture, and a related inequality for positive semidefinite matrices, using standard facts about principal submatrices, Kronecker products, and the spectral radius
NSUWorks Citation
Zhang, Fuzhen and Horn, Roger A., "Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefininte matrices" (2010). Mathematics Faculty Articles. 35.
https://nsuworks.nova.edu/math_facarticles/35
DOI
10.13001/1081-3810.1359
COinS
Comments
AMS subject classifications. 15A45, 15A48, 15A69