Resonance in equations with a diagonal field |
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Authors: | Jens Lorenz |
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Affiliation: | Fakultät für Mathematik Universität Konstanz Postfach 5560 D-7750 Konstanz 1, Germany |
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Abstract: | Let A be a real square matrix, and let J? be an interval not containing an eigenvalue of A. Is A–D nonsingular for all diagonal matrices D with entries di ∈J? This holds if A is symmetric, but is not true in general. We prove a necessary condition and indicate implications for an equation with a diagonal field. |
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