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Fiedler, Miroslav ; Pták, Vlastimil
Cyclic products and an inequality for determinants. (English). Czechoslovak Mathematical Journal, vol. 19 (1969), issue 3, pp. 428-451
MSC: 15.58 | MR 0248155 | Zbl 0281.15014 | DOI: 10.21136/CMJ.1969.100913
References:
[1] M. Fiedler V. Pták: On Matrices with Non-positive Off-diagonal Elements and Positive Principal Minors. Czech. Math. J. 87 (1962), 382-400. MR 0142565
[2] K. Goldberg: A Matrix with Real Characteristic Roots. J. Res. NBS 56 (1956). MR 0077490 | Zbl 0074.25402
[3] K. Goldberg: Random Notes on Matrices. J. Res. NBS 60 (1958), 321--325. MR 0092756 | Zbl 0089.00901
[4] Д. M. Котелянский: Осонки для определителей матриц с преобладающей главной диагоналю. Изь. АН СССР ser. mat. 20 (1956), 137-144. MR 0075917 | Zbl 0995.90522
[5] А. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen. Comm. Math. Helv. 30 (1956), 175-210. DOI 10.1007/BF02564340 | MR 0076433 | Zbl 0072.13803
[6] V. Pták: On a Combinatorial Theorem and Its Application to Nonnegative Matrices. Czech. Math. J. 83 (1958), 487-495. MR 0110644
[7] V. Pták J. Sedláček: On the Index of Imprimitivity of Nonnegative Matrices. Czech. Math. J. 83 (1958), 495-501. MR 0110645
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