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Negative Answer to the Conjecture on the Convexity of the Greatest Eigenvalue

Authors:	Liu H W Liu S Y

Abstract:	In this note, we show by a counterexample that the conjecture of Seeger on the convexity of the greatest eigenvalue of a real symmetric matrix-valued function $(\alpha _{ij} (u))_{n \times n}$ does not hold.

Keywords:	Convex functions matrix-valued functions greatest eigenvalue
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