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Der Spektralsatz und Hadamards Determinantenproblem

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Zusammenfassung

Ein fundamentaler Satz der linearen Algebra besagt, dass jede symmetrische reelle Matrix A diagonalisiert werden kann. Das heißt, für jedes solche A existiert eine nichtsinguläre reelle Matrix Q, so dass

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Literatur

  • [1] J. HADAMARD: Résolution d’une question relative aux déterminants, Bulletin des Sciences Mathématiques 17 (1893), 240-246.

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  • [2] G. SZEKERES & P. TURÁN: An extremal problem in the theory of determinants, in: “Collected Papers of Paul Turán” (P. Erdős, ed.), Akadémiai Kiadó, Budapest 1990, Vol. 1, pp. 81-87.

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  • [3] H. WILF: An algorithm-inspired proof of the spectral theorem in En, Amer. Math. Monthly 88 (1981), 49-50.

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  • [4] H. WILF: Some examples of combinatorial averaging, Amer. Math. Monthly 92 (1985), 250-261.

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Correspondence to Martin Aigner .

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© 2018 Springer-Verlag GmbH Deutschland, ein Teil von Springer Nature

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Aigner, M., Ziegler, G.M. (2018). Der Spektralsatz und Hadamards Determinantenproblem. In: Das BUCH der Beweise. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-57767-7_7

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