A bound for a determinant with dominant main diagonal
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- by J. L. Brenner
- Proc. Amer. Math. Soc. 5 (1954), 631-634
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063341-8
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References
- J. L. Brenner, Une borne pour un déterminant avec diagonale majorante, C. R. Acad. Sci. Paris 238 (1954), 555–556 (French). MR 59235
- J. L. Brenner, Bounds for determinants, Proc. Nat. Acad. Sci. U.S.A. 40 (1954), 452–454. MR 62094, DOI 10.1073/pnas.40.6.452 P. Furtwängler, Sitzungsber. Akad. Wiss. Wien IIa vol. 145 (1936) pp. 527-528. J. Hadamard, Leçons sur la propagation des ondes, Paris, 1903.
- Emilie V. Haynsworth, Bounds for determinants with dominant main diagonal, Duke Math. J. 20 (1953), 199–209. MR 53903
- 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
- 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
- Y. K. Wong, An inequality for Minkowski matrices, Proc. Amer. Math. Soc. 4 (1953), 137–141. MR 55301, DOI 10.1090/S0002-9939-1953-0055301-7
Bibliographic Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 631-634
- MSC: Primary 09.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0063341-8
- MathSciNet review: 0063341