Bulletin of the American Mathematical Society

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ISSN 1088-9485(e) ISSN 0273-0979(p)

Bounds on characteristic values

Author(s): Edward W. Barankin
Journal: Bull. Amer. Math. Soc. 54 (1948), 728-735.
MathSciNet review: 0026254
Retrieve article in: PDF

1.: E. W. Barankin, Bounds for the characteristic roots of a matrix, Bull. Amer. Math. Soc. vol. 51 (1945) pp. 767-770. MR 13118
2.: I. Bendixson, Sur les racines d'une équation fondamentale, Acta Math. vol. 25 (1902) pp 359-365. MR 1554947
3.: A. Brauer, Limits for the characteristic roots of a matrix, Duke Math. J. vol. 13 (1946) pp. 387-395. MR 17728
4.: E. T. Browne, Limits to the characteristic roots of a matrix, Amer. Math. Monthly vol 46 (1939) pp. 252-265. MR 1524582
5.: A. B. Farnell, Limits for the characteristic roots of a matrix, Bull. Amer. Math. Soc. vol. 50 (1944) pp. 789-794. MR 11066
6.: W. V. Parker, Limits to the characteristic roots of a matrix, Duke Math J. vol. 10( 1943) pp. 479-482. MR 8589
7.: W. V. Parker, The characteristic roots of matrices, Duke Math. J. vol. 12 (1945) pp. 517-526. MR 13117
8.: Schur, I., Über die characteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen, Math. Ann. vol. 66 (1909) pp. 488-510. MR 1511512

Additional Information:

DOI: 10.1090/S0002-9904-1948-09066-8
PII: S 0002-9904(1948)09066-8

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