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

H. W. Liu and S. Y. Liu

Journal of Optimization Theory and Applications, 2001, vol. 110, issue 3, No 11, 677-679

Abstract: 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 (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1023/A:1017548614213

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