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Bulletin of the American Mathematical Society

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Geršgorin theorems by Householder's proof


Author: J. L. Brenner
Journal: Bull. Amer. Math. Soc. 74 (1968), 625-627
DOI: https://doi.org/10.1090/S0002-9904-1968-12039-7
Errata: Bull. Amer. Math. Soc., Volume 74, Number 4 (1968), 767--768
MathSciNet review: 0223074
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  • 3. D. G. Feingold and R. S. Varga, Block diagonally dominant matrices and generalizations of the Geršgorin circle theorem, Pacific J. Math. 12 (1962), 1241-1250. MR 151473
  • 4. S. Geršgorin, Über die Abgrenzung der Eigenwerte einer Matrix, Izv. Akad. Nauk SSSR 7 (1931), 749-754.
  • 5. A. S. Householder, The theory of matrices in numerical analysis, Blaisdell, New York, 1964. MR 175290
  • 6. M. Marcus and H. Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Boston, Mass., 1964. MR 162808
  • 7. A. M. Ostrowski, Sur les conditions générales pour la regularité des matrices, Rend. Mat. e Appl. 10 (1951), 1-13. MR 49151
  • 8. O. Taussky, A recurring theorem on determinants, Amer. Math. Monthly 56 (1948), 672-676. MR 32557


Additional Information

DOI: https://doi.org/10.1090/S0002-9904-1968-12039-7

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