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Bulletin of the American Mathematical Society

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On the characteristic roots of tournament matrices


Authors: Alfred Brauer and Ivey C. Gentry
Journal: Bull. Amer. Math. Soc. 74 (1968), 1133-1135
MathSciNet review: 0232784
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References [Enhancements On Off] (What's this?)

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  • 3. Alfred Brauer, A method for the computation of the greatest root of a nonnegative matrix, SIAM J. Numer. Anal. 3 (1966), 564–569. MR 0218007
  • 4. Alfred Brauer, Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J. 19 (1952), 75–91. MR 0047003
  • 5. H. J. Ryser, Matrices of zeros and ones in combinatorial mathematics, Recent Advances in Matrix Theory (Proc. Advanced Seminar, Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wis., 1963) Univ. Wisconsin Press, Madison, Wis., 1964, pp. 103–124. MR 0164905
  • 6. I. Schur, Über die charakteristischen Wurzeln einer linearen Substitution mit einer Anwendung auf die Theorie der Integralgleichungen, Math. Ann. 66 (1909), no. 4, 488–510 (German). MR 1511512, 10.1007/BF01450045


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9904-1968-12079-8