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Intermediateprobleme bei Matrizeneigenwertaufgaben

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Finite Elemente und Differenzenverfahren

Abstract

For the eigenvalue problems Ax = λ(j)Bjx j=1,...,r we propose a method to obtain lower bounds for the eigenvalues. The paper is related to a method of WEINSTEIN [4], where he published a construction of lower bounds for eigenvalues by intermediate problems.

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Literatur

  1. Collatz, L.: Eigenwertaufgaben mit technischen Anwendungen. Leipzig, Akademische Verlagsgesellschaft 1963.

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  2. Sauer, R. und Szabo, I.: Mathematische Hilfsmittel des Ingenieurs. Berlin, Heidelberg, New York, Springer-Verlag 1969.

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  3. Schellhaas, H.: Zur Berechnung unterer Eigenwertschranken beim allgemeinen Eigenwertproblem mit Anwendung auf die Plattenbeulung. ZAMM 48 (1968) T99–T102.

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  4. Weinstein, A.: On the Sturm-Liouville theory and the Eigenvalues of Intermediate Problems. Num. Math. 5 (1963) 238–245.

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  5. Weinstein, A. and Stenger, W.: Methods of Intermediate Problems for Eigenvalues. New York, London, Academic Press. 1972.

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  6. Wilkinson, J.H.: The Algebraic Eigenvalue Problem. Oxford, Clarendon Press. 1965.

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J. Albrecht L. Collatz

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© 1975 Springer Basel AG

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Richert, W.R. (1975). Intermediateprobleme bei Matrizeneigenwertaufgaben. In: Albrecht, J., Collatz, L. (eds) Finite Elemente und Differenzenverfahren. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique, vol 28. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5861-8_7

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  • DOI: https://doi.org/10.1007/978-3-0348-5861-8_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5862-5

  • Online ISBN: 978-3-0348-5861-8

  • eBook Packages: Springer Book Archive

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