Regions of exclusion for the latent roots of a matrix
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- by Hans Schneider PDF
- Proc. Amer. Math. Soc. 5 (1954), 320-322 Request permission
References
- Alfred Brauer, Limits for the characteristic roots of a matrix, Duke Math. J. 13 (1946), 387–395. MR 17728 S. Gersgorin, Ueber die Abgrenzung der Eigenwerte einer Matrix, Izvestia Akademii Nauk SSSR vol. 7 (1931) pp. 749-754.
- Alexander Ostrowski, Ueber das Nichtverschwinden einer Klasse von Determinanten und die Lokalisierung der charakteristischen Wurzeln von Matrizen, Compositio Math. 9 (1951), 209–226 (German). MR 45081
- P. Stein, A note on bounds of multiple characteristic roots of a matrix, J. Research Nat. Bur. Standards 48 (1952), 59–60. MR 0047002
- Olga Taussky, A recurring theorem on determinants, Amer. Math. Monthly 56 (1949), 672–676. MR 32557, DOI 10.2307/2305561
- Olga Taussky, Bounds for characteristic roots of matrices, Duke Math. J. 15 (1948), 1043–1044. MR 28810
- Olga Taussky, Bounds for characteristic roots of matrices. II, J. Research Nat. Bur. Standards 46 (1951), 124–125. MR 0043755
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 320-322
- MSC: Primary 09.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0060459-0
- MathSciNet review: 0060459