| Title:
|
Cyclic products and an inequality for determinants (English) |
| Author:
|
Fiedler, Miroslav |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
19 |
| Issue:
|
3 |
| Year:
|
1969 |
| Pages:
|
428-451 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
15.58 |
| idZBL:
|
Zbl 0281.15014 |
| idMR:
|
MR0248155 |
| DOI:
|
10.21136/CMJ.1969.100913 |
| . |
| Date available:
|
2008-06-09T13:43:01Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100913 |
| . |
| Reference:
|
[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 |
| Reference:
|
[2] K. Goldberg: A Matrix with Real Characteristic Roots.. J. Res. NBS 56 (1956). Zbl 0074.25402, MR 0077490 |
| Reference:
|
[3] K. Goldberg: Random Notes on Matrices.J. Res. NBS 60 (1958), 321--325. Zbl 0089.00901, MR 0092756 |
| Reference:
|
[4] Д. M. Котелянский: Осонки для определителей матриц с преобладающей главной диагоналю.Изь. АН СССР ser. mat. 20 (1956), 137-144. Zbl 0995.90522, MR 0075917 |
| Reference:
|
[5] А. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen.Comm. Math. Helv. 30 (1956), 175-210. Zbl 0072.13803, MR 0076433, 10.1007/BF02564340 |
| Reference:
|
[6] V. Pták: On a Combinatorial Theorem and Its Application to Nonnegative Matrices.Czech. Math. J. 83 (1958), 487-495. MR 0110644 |
| Reference:
|
[7] V. Pták J. Sedláček: On the Index of Imprimitivity of Nonnegative Matrices.Czech. Math. J. 83 (1958), 495-501. MR 0110645 |
| . |
