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Proceedings of the American Mathematical Society

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On bounds for the greatest characteristic root of a matrix with positive elements


Author: Gene W. Medlin
Journal: Proc. Amer. Math. Soc. 4 (1953), 769-771
MSC: Primary 09.0X
DOI: https://doi.org/10.1090/S0002-9939-1953-0056564-4
MathSciNet review: 0056564
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References [Enhancements On Off] (What's this?)

  • [1] Alfred Brauer, Limits for the characteristic roots of a matrix, Duke Math. J. 13 (1946), 387–395. MR 0017728
  • [2] Alfred Brauer, Limits for the characteristic roots of a matrix. V, Duke Math. J. 19 (1952), 553–562. MR 0053897
  • [3] G. Frobenius, Über Matrizen aus positiven Elementen, Preuss. Akad. Wiss. Sitzungsber. (1908) pp. 471-476.
  • [4] -, Über Matrizen aus positiven Elementen, Preuss. Akad. Wiss. Sitzungsber. (1909) pp. 514-518.
  • [5] A. Ostrowski, Bounds for the greatest latent root of a positive matrix, J. London Math. Soc. 27 (1952), 253–256. MR 0049152, https://doi.org/10.1112/jlms/s1-27.2.253

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DOI: https://doi.org/10.1090/S0002-9939-1953-0056564-4
Article copyright: © Copyright 1953 American Mathematical Society