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Heap, B. R.; Lynn, M. S.

The index of primitivity of a non-negative matrix. (English) Zbl 0121.26303

Numer. Math. 6, 120-141 (1964).
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Cited in 21 Documents

Keywords:

linear algebra, polynomials, forms
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\textit{B. R. Heap} and \textit{M. S. Lynn}, Numer. Math. 6, 120--141 (1964; Zbl 0121.26303)
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References:

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[2] Brauer, A.: On a problem of partitions. Amer. J. Math.64, 299-312 (1942). · Zbl 0061.06801
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[7] Frobenius, G.: Über Matrizen aus nicht negativen Elementen. S.-B. Preuss. Akad. Wiss. Berlin, 456-477 (1912). · JFM 43.0204.09
[8] Herstein, I. N.: A note on primitive matrices. Amer. Math. Monthly61, 18-20 (1954). · Zbl 0055.00907
[9] Holladay, J. C., andR. S. Varga: On powers of non-negative matrices. Proc. Amer. Math. Soc.9, 631-634 (1958). · Zbl 0096.00805
[10] Ma?ík, J., andV. Pták: Norms, spectra and combinatorial properties of matrices. Czechoslovak Math. J.10, 181-196 (1960). · Zbl 0093.24205
[11] Pták, V.: On a combinatorial theorem and its application to non-negative matrices. Czechoslovak Math. J.8, 487-495 (1958). · Zbl 0082.24402
[12] Rosenblatt, D.: On the graphs and asymptotic forms of finite Boolean relation matrices and stochastic matrices. Naval. Res. Logist. Quart.4, 151-167 (1957).
[13] Varga, R. S.: Matrix iterative analysis. New Jersey: Prentice-Hall, 1962. · Zbl 0133.08602
[14] Warshall, S.: A theorem on Boolean matrices. J.A.C.M.9, 11-12 (1962). · Zbl 0118.33104
[15] Wielandt, H.: Unzerlegbare, nicht negative Matrizen. Math. Z.52, 642-648 (1950). · Zbl 0035.29101
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