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Refinements of Kantorovich Inequality for Hermitian Matrices

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  • Feixiang Chen

Abstract

Some new Kantorovich‐type inequalities for Hermitian matrix are proposed in this paper. We consider what happens to these inequalities when the positive definite matrix is allowed to be invertible and provides refinements of the classical results.

Suggested Citation

  • Feixiang Chen, 2012. "Refinements of Kantorovich Inequality for Hermitian Matrices," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:483624
    DOI: 10.1155/2012/483624
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    References listed on IDEAS

    as
    1. S. Liu & H. Neudecker, 1997. "Kantorovich inequalities and efficiency comparisons for several classes of estimators in linear models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 51(3), pages 345-355, November.
    2. Khatri, C. G. & Rao, C. Radhakrishna, 1981. "Some extensions of the Kantorovich inequality and statistical applications," Journal of Multivariate Analysis, Elsevier, vol. 11(4), pages 498-505, December.
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