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Title: New kinds of theorems on non-negative matrices (English)
Author: Schwarz, Štefan
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 16
Issue: 2
Year: 1966
Pages: 285-295
Summary lang: Russian
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Category: math
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MSC: 15.60
idZBL: Zbl 0232.20141
idMR: MR0201453
DOI: 10.21136/CMJ.1966.100730
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Date available: 2008-06-09T13:29:40Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/100730
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Reference: [1] 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, MR 0181645, 10.1215/ijm/1256059464
Reference: [2] Ф. P. Гантмахер: Теория матриц.Москва, 1953. Zbl 1151.94459
Reference: [3] В. R. Heap, M. S. Lyn: The index of primitivity of a non-negative matrix.Numerische Mathematik 6 (1964), 120-141. MR 0163921, 10.1007/BF01386062
Reference: [4] I. N. Herstein: A note on primitive matrices.Amer. Math. Monthly 61 (1954), 18 - 20. Zbl 0055.00907, MR 0059243, 10.1080/00029890.1954.11988404
Reference: [5] Ю. И. Любыч: Оценка для оптимальной детерминизации недетерминованных автономных автоматов.Сиб. мат. ж. 5 (1964), 337-355. Zbl 1117.65300, MR 0162725
Reference: [6] N. Pullman: On the number of positive entries in the powers of a non-negative matrix.Canadian Math. Bull 7 (1964), 525-537. Zbl 0143.26304, MR 0180562, 10.4153/CMB-1964-049-x
Reference: [7] S. Schwarz: A semigroup treatment of some theorems on non-negative matrices.Czechoslovak Math. J. 15 (90) (1965), 212-229. Zbl 0232.20139, MR 0175919
Reference: [8] S. Schwarz: On powers of non-negative matrices.Mat.-fyz. casopis Slov. Akad. vied 15 (1965), 215-228. Zbl 0158.28302, MR 0191987
Reference: [9] S. Schwarz: A new approach to some problems in the theory of non-negative matrices.Czechoslovak Math. J. 16 (91) (1966), 274-284. Zbl 0232.20140, MR 0201452
Reference: [10] Ш. Шварц: Заметка к теории неотрицательных матриц.Сиб. мат. ж. 6 (1965), 207-211. Zbl 1099.01519
Reference: [11] R. S. Varga: Matrix iterative analysis.New Jersey, Prentice Hall, 1962. MR 0158502
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