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Original Articles

Equivalence of the wielandt inequality and the kantorovich inequality

Pages 275-279 | Received 15 May 2000, Published online: 31 Mar 2008

References

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  • Householder , A. S. 1975 . The Theory of Matrices in Numerical Analysis , New York : Dover . Reprint Edition
  • Marshall , A. W. and Olkin , I. 1990 . Matrix versions of the Cauchy and Kantorovich inequalities . Aequationes Mathematicae , 40 : 89 – 93 .
  • Pečarič , J. , Puntanen , S. and Styan , G. 1996 . Some further matrix extensions of the Cauchy=Schwarz and Kantorovich inequalities . Linear Algebra and its Applications , 237/238 : 455 – 476 .
  • Wang , S. -G. and Ip , W.-C. 1999 . A matrix version of the Wielandt inequality and its applications to statistics . Linear Algebra and its Applications , 296 : 171 – 181 .
  • Wang , B.-Y. and Zhang , F. 1997 . Schur complements and matrix inequalities of Hadamard products . Linear and Multilinear Algebra , 43 : 315 – 326 .
  • Zhang , F.-Z. 1999 . Matrix Theory: Basic Results and Techniques , New York : Springer-Verlag .

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