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Absolute and monotonic norms

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References

  1. Bauer, F. L., andC. T. Fike: Norms and Exclusion Theorems. Numer. Math.2, 137–141 (1960).

    Google Scholar 

  2. —, andA. S. Householder: Moments and Characteristic Roots. Numer. Math.2, 42–53 (1960).

    Google Scholar 

  3. Bauer, F. L., andA. S. Householder: Absolute Norms and Characteristic Roots. (To appear.)

  4. Bauer, F. L.: On the Field of Values Subordinate to a Norm. (To appear.)

  5. Birkhoff, G.: Lattice ordered Groups. Ann. of Math.43, 298–331 (1942).

    Google Scholar 

  6. Fiedler, M., andV. Ptak: Some Inequalities for the Spectrum of a Matrix. Mat.-Fyz. Časopis. Slovensk. Akad. Vied.10, 148–166 (1960).

    Google Scholar 

  7. Freudenthal, H.: Über teilweise geordnete Moduln. Proceedings Amsterdam Academy39, 641–651 (1936).

    Google Scholar 

  8. Householder, A. S.: The Approximate Solution of Matrix Problems. J. Assoc. Comput. Math.5, 205–243 (1958).

    Google Scholar 

  9. Kantorovic, L.: Lineare halb-geordnete Räume. Rec. Math., (Mat. Sbornik)2, 121–165 (1937).

    Google Scholar 

  10. Neumann, J. v.: Some Matrix-Inequalities and Metrization of Matrix-Space. Bull. Inst. Math. Mech. Univ. Tomsk.1, 286–299 (1937).

    Google Scholar 

  11. Ostrowski, A. M.: Über Normen von Matrizen. Math. Z.63, 2–18 (1955).

    Google Scholar 

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Authors and Affiliations

  1. Institut für angewandte Mathematik der Universität Mainz, Jakob Welder-Weg 7

    F. L. Bauer, J. Stoer & C. Witzgall

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  1. F. L. Bauer
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  2. J. Stoer
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  3. C. Witzgall
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Bauer, F.L., Stoer, J. & Witzgall, C. Absolute and monotonic norms. Numer. Math. 3, 257–264 (1961). https://doi.org/10.1007/BF01386026

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