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An Inclusion Principle for Eigenvalues

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Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band 3

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Abstract

A general inclusion principle for eigenvalues with special properties (e.g. belonging to nonnegative eigenvectors) is developed and compared with Collatz’s theorem.

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References

  1. Collatz L (1942) Einschließungssatz für charakteristische Zahlen von Matrizen. Math. Z. 48: 221–226

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  2. Collatz L (1963) Eigenwertaufgaben mit technischen Anwendungen. 2. Auflage. Akademische Verlagsgesellschaft Geest & Portig K.-G., Leipzig

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  3. Eckhardt U (1972) Iterative Lösung linearer Gleichungssysteme. Kernforschungsanlage Jülich, JU1–880-MA

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  4. Mangasarian OL (1969) Nonlinear Programming. McGraw-Hill Book Company, New York

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  5. Moore RE (1966) Interval Analysis. Prentice-Hall, Inc., Englewood Cliffs

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Author information

Authors and Affiliations

  1. Ulrich Eckhardt, Institut für Angewandte Mathematik, Bundesstraße 55, D-2000, Hamburg 13, Germany

    Ulrich Eckhardt

Authors
  1. Ulrich Eckhardt
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Clausthal, D-3392, Clausthal-Zellerfeld, Germany

    J. Albrecht

  2. Institut für Angewandte Mathematik, Universität Hamburg, Bundesstrasse 55, D-2, Hamburg 13, Germany

    L. Collatz

  3. Institut für Angewandte Mathematik und Statistik der Universität, Am Hubland, D-8700, Würzburg, Germany

    W. Velte

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© 1983 Springer Basel AG

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Eckhardt, U. (1983). An Inclusion Principle for Eigenvalues. In: Albrecht, J., Collatz, L., Velte, W. (eds) Numerical Treatment of Eigenvalue Problems Vol. 3 / Numerische Behandlung von Eigenwertaufgaben Band 3. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 69. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6754-2_4

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  • DOI: https://doi.org/10.1007/978-3-0348-6754-2_4

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-6755-9

  • Online ISBN: 978-3-0348-6754-2

  • eBook Packages: Springer Book Archive

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