TY - JOUR
T1 - Bounds on the spectral radius of a Hadamard product of nonnegative or positive semidefinite matrices
AU - Zhang, Fuzhen
AU - Horn, Roger A.
PY - 2010/1/1
Y1 - 2010/1/1
N2 - 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
AB - 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
KW - Hadamard product
KW - Kronecker product
KW - Matrix inequality
KW - Nonnegative matrix
KW - Positive definite matrix
KW - Positive semidefinite matrix
KW - Spectral radius
UR - https://nsuworks.nova.edu/math_facarticles/35
UR - http://repository.uwyo.edu/ela/vol20/iss1/6/
UR - http://www.scopus.com/inward/record.url?scp=77955452085&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=77955452085&partnerID=8YFLogxK
U2 - 10.13001/1081-3810.1359
DO - 10.13001/1081-3810.1359
M3 - Article
SN - 1537-9582
VL - 20
SP - 90
EP - 94
JO - Electronic Journal of Linear Algebra
JF - Electronic Journal of Linear Algebra
ER -