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Schwarz, Štefan

A new approach to some problems in the theory of non-negative matrices. (English) Zbl 0232.20140

Czech. Math. J. 16(91), 274-284 (1966).
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Cited in 2 Reviews
Cited in 9 Documents

MSC:

15B48 Positive matrices and their generalizations; cones of matrices
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\textit{Š. Schwarz}, Czech. Math. J. 16(91), 274--284 (1966; Zbl 0232.20140)
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References:

[1] A. L. Dulmage, N. S. Mendelsohn: The exponent of a primitive matrix. Canadian Math. Bulletin 5 (1962), 241-244. · Zbl 0108.01203
[2] A. L. Dulmage, N. S. Mendelsohn: Gaps in the exponent set of primitive matrices. Illinois J. of Math. 8 (1964), 642-656. · Zbl 0125.00706
[3] B. R. Heap, M. S. Lynn: The index of primitivity of a non-negative matrix. Numerische Mathematik 6 (1964), 120-141. · Zbl 0121.26303
[4] J. C. Holladay, R. S. Varga: On powers of non-negative matrices. Proc. Amer. Math. Soc. 9 (1958), 631-634. · Zbl 0096.00805
[5] Ю. И. Любич: Оценка для оптимальной детерминизации недетерминованных автономных автоматов. Сиб. мат. ж. 5 (1964), 337-355. · Zbl 1117.65300
[6] J. Mank V. Pták: Norms, spectra and combinatorial properties of matrices. Czechoslovak Math. J. 10 (85) (1960), 181-196. · Zbl 0093.24205
[7] R. Perkins: A theorem on regular matrices. Pacific J. of Math. 11 (1961), 1529-1533. · Zbl 0103.00801
[8] V. Pták: On a combinatorial theorem and its application to non-negative matrices. Czechoslovak Math. J. 8 (83) (1958), 487-495. · Zbl 0082.24402
[9] V. Pták J. Sedláček: On the index of imprimitivity of non-negative matrices. Czechoslovak Math. J. 8 (83) (1958), 496-501. · Zbl 0082.24403
[10] N. Pullman: On the number of positive entries in the powers of a non-negative matrix. Canadian Math. Bulletin 7 (1964), 525-537. · Zbl 0143.26304
[11] Š. Schwarz: A semigroup treatment of some theorems on non-negative matrices. Czechoslovak Math. J. 15 (90) (1965), 212-229. · Zbl 0232.20139
[12] Š. Schwarz: On powers of non-negative matrices. Mat.-fyz. časopis Slov. Akad. vied 15 (1965), 215-228. · Zbl 0158.28302
[13] Ш. Шварц: Заметка к теории неотрицательных матриц. Сиб. мат. ж. 6 (1965), 207-211 · Zbl 1099.01519
[14] R. S. Varga: Matrix iterative analysis. New Jersey, Prentice-Hall, 1962. · Zbl 0133.08602
[15] H. Wielandt: Unzerlegbare nicht negative Matrizen. Math. Z. 52 (1950), 642-648. · Zbl 0035.29101
[16] Š. Schwarz: Some estimates in the theory of non-negative matrices. · Zbl 0159.32603
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