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Numerische Mathematik

, Volume 10, Issue 1, pp 30–41 | Cite as

Characterizations of certain classes of norms

  • David Gries
Article

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Mathematical Method 
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References

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    Bauer, F. L.: On the field of values subordinate to a norm. Numer. Math.4, 103–113 (1962).Google Scholar
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    ——,J. Stoer, andC. Witzgall: Absolute and monotonic norms. Numer. Math.3, 257–264 (1961).Google Scholar
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    Eggleston, H. G.: Convexity. Cambridge: Cambridge University Press 1958.Google Scholar
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    Gries, D.: Über einige Klassen von Normen. Diss. Technische Hochschule München, Juni 1966.Google Scholar
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    —, andJ. Stoer: Some results on fields of values of a matrix. Rechenzentrum der Technischen Hochschule München. Bericht Nr. 6607.Google Scholar
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    Ostrowski, A.: Über Normen von Matrizen. Math. Z.63, 2–18 (1955)Google Scholar
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    — On some metrical properties of operator matrices and matrices partitioned into blocks. MRC Technical Summary Report No. 138. University of Wisconsin 1960.Google Scholar
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    Sallin, E. A.: Bounds for iterates, inverses and spectral variation of non-normal matrices. Ph.D. Diss. University of California, Los Angeles 1963Google Scholar
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    Stoer, J., andC. Witzgall: Transformation by diagonal matrices in a normed space. Numer. Math.4, 158–171 (1962).Google Scholar
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    —— On the characterization of least upperbound norms in matrix space. Numer Math.6, 302–314 (1964).Google Scholar

Copyright information

© Springer-Verlag 1967

Authors and Affiliations

  • David Gries
    • 1
  1. 1.Computer Science DepartmentStanford UniversityStanfordUSA

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