An extension of the generalised schur inequality

An extension of the generalised schur inequality

The well-known Schur inequality relates the sum of the squares of the absolute values of the eigenvalues of A to the elements of A. This was recently generalised to powers between one and two. Here we show that the inequality holds for powers between zero and two.

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Veröffentlicht in:Bulletin of the Australian Mathematical Society 1995-10, Vol.52 (2), p.341-343
Hauptverfasser: Mond, B., Pečarić, J.E.
Format: Artikel
Sprache:eng
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Beschreibung
Zusammenfassung:The well-known Schur inequality relates the sum of the squares of the absolute values of the eigenvalues of A to the elements of A. This was recently generalised to powers between one and two. Here we show that the inequality holds for powers between zero and two.
ISSN:0004-9727
1755-1633
DOI:10.1017/S0004972700014775