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Original Articles

An eigenvalue majorization inequality for positive semidefinite block matrices

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Pages 1365-1368 | Received 26 Jul 2011, Accepted 17 Dec 2011, Published online: 16 Jan 2012

References

  • Bhatia , R . 1997 . Matrix Analysis , New York : Springer-Verlag .
  • Fan , K . 1949 . On a theorem of Weyl concerning eigenvalues of linear transformations. I . Proc. Natl. Acad. Sci. USA , 35 : 652 – 655 .
  • Furuichi , S and Lin , M . 2010 . A matrix trace inequality and its application . Linear Algebra Appl. , 433 : 1324 – 1328 .
  • Horn , RA and Johnson , CR . 1990. . Matrix Analysis , Cambridge : Cambridge University Press . Corrected reprint of the 1985 original
  • Marshall , AW and Olkin , I . 1979 . Inequalities: Theory of Majorization and its Applications , New York : Academic Press .
  • Marshall , AW , Olkin , I and Arnold , BC . 2011 . “ Inequalities: Theory of Majorization and its Applications ” . In Springer Series in Statistics , 2nd , New York : Springer .
  • Zhang , F . 1999 . Matrix Theory: Basic Results and Techniques , New York : Universitext, Springer-Verlag .

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