On the dual of a result of Miranda and Thompson

✍ Scribed by Natália Bebiano; J. da Providência

• Publisher: Elsevier Science
• Year: 1997
• Tongue: English
• Weight: 475 KB
• Volume: 262
• Category: Article
• ISSN: 0024-3795
• DOI: 10.1016/s0024-3795(97)80027-4

✦ Synopsis

For A and B real matrices with prescribed singular values, Miranda and Thompson characterized maxtr(AUBV) when U and V range over SO(n), the real proper orthogonal group. Motivated by this result, we investigate the location of deft A + UBV) for A, B, U, V as previously. The corresponding problem for A and B complex matrices and U and V ranging over the unitary group is also discussed. Analogies are drawn between the determinantal problems and their tracial versions.