On Spectral Properties of Matrices with Positive Characteristic Vectors
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1332-1343

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Unless stated otherwise, all our matrices (denoted by capital letters) are square matrices of size n × n and composed of real numbers. A' denotes the transpose of A. The characteristic or eigenvectors of matrices are written as column vectors having n coordinates. If ζ is a vector, ζ’ denotes its transpose.
Majindar, Kulendra N. On Spectral Properties of Matrices with Positive Characteristic Vectors. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1332-1343. doi: 10.4153/CJM-1968-133-1
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[1] 1. Brauer, A., On the characteristic roots of power-positive matrices, Duke Math. J. 28 (1961), 439–445. Google Scholar

[2] 2. Brauer, A., on the characteristic roots of non-negative matrices {Recent advances in matrix theory, Proc. Advanced Seminar, Math. Res. Center, U.S. Army, Univ. Wisconsin, Madison, Wisconsin, 1963, pp. 3–38; (Univ. Wisconsin Press, Madison, Wisconsin, 1964). Google Scholar

[3] 3. Brauer, A., A method for the computation of the greatest root of a non-negative matrix, SI AM J. Numer. Anal. 3 (1966), 564–569. Google Scholar

[4] 4. Gantmacher, F. R., The theory of matrices, Vol. II, pp. 51–52 (Chelsea, New York, 1960). Google Scholar

[5] 5. Holladay, J. C. and Varga, R. S., On powers of non-negative matrices, Proc. Amer. Math. Soc. 9 (1958), 631–634. Google Scholar

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