Some inequalities for singular values of matrix products

✍ Scribed by Bo-Ying Wang; Bo-Yan Xi

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 213 KB
• Volume: 264
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)00020-7

✦ Synopsis

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 p×", B ~ C nxm. We also consider the cases for the product of three matrices and more.