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Linear and Multilinear Algebra Volume 30, 1991 - Issue 1-2
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Original Articles

The binet-cauchy theorem and inequalities for the schur power matrix

John W. Bunce Department of Mathematics, University of Kansas, Lawrence, KS, 66045
Pages 5-11 | Published online: 01 Apr 2008

References

  • Ando , T. 1979 . Concavity of certain maps on positive definite matrices and applications to Hadamard products . Linear Algebra Appl , 26 : 203 – 241 .
  • Bapat , R. B. 1988 . Refining Schur's inequality using Schur complements . Linear and Multilinear Algebra , 23 : 55 – 62 .
  • Bapat , R. B. and Sunder , V. S. 1985 . On majorization and Schur products . Linear Algebra Appl , 72 : 107 – 117 .
  • Marcus , M. and Sandy , M. 1988 . Bessel's inequality in tensor space . Linear and Multilinear Algebra , 23 : 233 – 249 .
  • Merris , R. 1983 . Extensions of the Hadamard determinant theorem . Israel J. Math , 46 : 301 – 304 .
  • Merris , R. 1987 . “ The permanental dominance conjecture ” . In Current Trends in Matrix Theory , Edited by: Uhlig , F. and Grone , R. 213 – 223 . New York : Elsevier Science Publishing Co. .
  • Minc , H. 1978 . “ Permanent ” . In Encyc. of Math , Vol. 6 , Reading : Addison-Wesley .
  • Soules , G. W. 1983 . Constructing symmetric nonnegative matrices . Linear and Multilinear Algebra , 13 : 241 – 251 .

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