Bounds for determinants with positive diagonals
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- by Emilie V. Haynsworth
- Trans. Amer. Math. Soc. 96 (1960), 395-399
- DOI: https://doi.org/10.1090/S0002-9947-1960-0120242-1
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References
- J. L. Brenner, A bound for a determinant with dominant main diagonal, Proc. Amer. Math. Soc. 5 (1954), 631–634. MR 63341, DOI 10.1090/S0002-9939-1954-0063341-8
- J. L. Brenner, Bounds for determinants. II, Proc. Amer. Math. Soc. 8 (1957), 532–534. MR 86043, DOI 10.1090/S0002-9939-1957-0086043-3
- Emilie V. Haynsworth, Note on bounds for certain determinants, Duke Math. J. 24 (1957), 313–319. MR 89176
- A. M. Ostrowski, Note on bounds for determinants with dominant principal diagonal, Proc. Amer. Math. Soc. 3 (1952), 26–30. MR 52380, DOI 10.1090/S0002-9939-1952-0052380-7
- A. M. Ostrowski, Note on bounds for some determinants, Duke Math. J. 22 (1955), 95–102. MR 91932
- G. Baley Price, Bounds for determinants with dominant principal diagonal, Proc. Amer. Math. Soc. 2 (1951), 497–502. MR 41093, DOI 10.1090/S0002-9939-1951-0041093-2
- Hans Schneider, An inequality for latent roots applied to determinants with dominant principal diagonal, J. London Math. Soc. 28 (1953), 8–20. MR 55302, DOI 10.1112/jlms/s1-28.1.8
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 96 (1960), 395-399
- MSC: Primary 15.00
- DOI: https://doi.org/10.1090/S0002-9947-1960-0120242-1
- MathSciNet review: 0120242