Numerische Mathematik

, Volume 9, Issue 1, pp 46–50 | Cite as

Separation theorems for normalizable matrices

  • A. S. Householder


Mathematical Method Normalizable Matrice Separation Theorem 


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    Bauer, F. L., andA. S. Householder: Moments and characteristic roots. Numer. Math.2, 42–53 (1960).Google Scholar
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    Falk, Sigurd: Einschließungssätze für Eigenwerte und Vektoren normaler Matrizenpaare. Wiss. Z. Tech. Univ. Dresden10, 9033–39 (1961).Google Scholar
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    —— Einschließungssätze für die Eigenwerte normaler Matrizenpaare. Z. Angew. Math. Mech.44, 41–55 (1964).Google Scholar
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    —— Einschließungssätze für die Eigenvektoren normaler Matrizenpaare. Z. Angew. Math. Mech.45, 47–56 (1965).Google Scholar
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    Householder, A. S.: Localization of the characteristic roots of matrices. Recent advances in matrix theory, p. 39–60. Madison and Milwaukee: The Univ. of Wisc. Press 1964.Google Scholar
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    —— The theory of matrices in numerical analysis. New York-Toronto-London: Blaisdell Publishing Co. 1964. xi+257 pp.Google Scholar
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    Swanson, C. A.: An inequality for linear transformations with eigenvalues. Bull. Amer. Math. Soc.67, 607–608 (1961).Google Scholar

Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • A. S. Householder
    • 1
  1. 1.Oak Ridge National LaboratoryOak RidgeUSA

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