A matrix version of the Ky Fan generalization of the kantorovich inequality

A matrix version of the Ky Fan generalization of the kantorovich inequality

Ky Fan extended some inequalities for Hermitian positive definite matrices to sums of such matrics. These and similar results are further generalized by showing that the inequalities are maintained with orthogonal matrices substituted for vectors.

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Veröffentlicht in:Linear & multilinear algebra 1994-02, Vol.36 (3), p.217-221
Hauptverfasser: Mond, B., Pečarić, J.D.
Format: Artikel
Sprache:eng
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Zusammenfassung:Ky Fan extended some inequalities for Hermitian positive definite matrices to sums of such matrics. These and similar results are further generalized by showing that the inequalities are maintained with orthogonal matrices substituted for vectors.
ISSN:0308-1087
1563-5139
DOI:10.1080/03081089408818291