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Original Articles

Singular value inequalities for the arithmetic, geometric and Heinz means of matrices

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Pages 1383-1392 | Received 17 Oct 2010, Accepted 13 Jan 2011, Published online: 20 Apr 2011

References

  • Ando , T . 1994 . Majorizations and inequalities in matrix theory . Linear Algebra Appl. , 199 : 17 – 67 .
  • Bhatia , R . 1997 . “ Matrix Analysis ” . In Graduate Text in Mathematics, Vol. 169 , New York : Springer-Verlag .
  • Bhatia , R and Kittaneh , F . 2000 . Notes on matrix arithmetic-geometric mean inequalities . Linear Algebra Appl. , 308 : 203 – 211 .
  • Bhatia , R and Kittaneh , F . 2008 . The matrix arithmetic-geometric mean inequality revisited . Linear Algebra Appl. , 428 : 2177 – 2191 .
  • Kubo , F and Ando , T . 1980 . Means of positive semidefinite linear matrices . Math. Ann. , 246 : 205 – 224 .
  • Merris , R and Pierce , S . 1972 . Monotonicity of positive semidefinite Hermitian matrices . Proc. Am. Math. Soc. , 31 : 437 – 440 .
  • Mitrinovic , DS . 1970 . Analytic Inequalities , New York : Springer Verlag .

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