NORM BOUNDS FOR HADAMARD-PRODUCTS AND AN ARITHMETIC - GEOMETRIC MEAN INEQUALITY FOR UNITARILY-INVARIANT NORMS

Authors
HORN RA
Citation
Ra. Horn, NORM BOUNDS FOR HADAMARD-PRODUCTS AND AN ARITHMETIC - GEOMETRIC MEAN INEQUALITY FOR UNITARILY-INVARIANT NORMS, Linear algebra and its applications, 224, 1995, pp. 355-361
Citations number
9
Categorie Soggetti
Mathematics,Mathematics
Journal title
Linear algebra and its applications → ACNP
ISSN journal
00243795
Volume
224
Year of publication
1995
Pages
355 - 361
Database
ISI
SICI code
0024-3795(1995)224:<355:NBFHAA>2.0.ZU;2-3
Abstract
An arithmetic-geometric mean inequality for unitarily invariant norms and matrices, 2\\AXB\\ less than or equal to \\AA*X + XBB*\\, is an i mmediate consequence of a basic inequality for singular values of Hada mard products.