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A singular value inequality for Heinz means

✍ Scribed by Koenraad M.R. Audenaert

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
108 KB
Volume
422
Category
Article
ISSN
0024-3795

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Let crl(C) >/ ... /> cr,(C) denote the singular values of a matrix C ~ C "xm, and let 1 ~1 k o. r A r k r r ~t=l i,( )orn\\_t+l(B) and ~.kt=lo'tr(AB) ~ Et=lo'~(A)tr,\\_i,+l(B), where A C pΓ—", B ~ C nxm. We also consider the cases for the product of three matrices and more.