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On convexity properties of the spectral radius of nonnegative matrices |
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| Authors: | L Elsner |
| Institution: | Fakultät für Mathematik Universität Bielefeld Postfach 86 40 4800 Bielefeld 1, Federal Republic of Germany |
| Abstract: | Elementary matrix-theoretic proofs are given for the following well-known results: r(D) = max{Re λ : λ an eigenvalue of A + D} and s(D) = lnρ(eDA) are convex. Here D is diagonal, A a nonnegative n × n matrix, and ρ the spectral radius. |
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