| Title:
|
On matrices with non-positive off-diagonal elements and positive principal minors (English) |
| Author:
|
Fiedler, Miroslav |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
12 |
| Issue:
|
3 |
| Year:
|
1962 |
| Pages:
|
382-400 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
15.60 |
| idZBL:
|
Zbl 0131.24806 |
| idMR:
|
MR0142565 |
| DOI:
|
10.21136/CMJ.1962.100526 |
| . |
| Date available:
|
2008-06-09T13:15:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100526 |
| . |
| Reference:
|
[1] K. Fan: Topological proofs for certain theorems on matrices with non-negative elements.Monatsh. Math. 62 (1958), 219-237. Zbl 0081.25104, MR 0095856, 10.1007/BF01303967 |
| Reference:
|
[2] K. Fan: Note on M-matrices.Quart. J. Math. 11 (1960), 43-49. Zbl 0104.01203, MR 0117242, 10.1093/qmath/11.1.43 |
| Reference:
|
[3] K. Fan A. J. Hoffman: Lower bounds for the rank and location of the eigenvalues of a matrix. Contributions to the solution of systems of linear equations and the determination of eigenvalues.NBS Appl. Math. Ser. 39, 117-130. MR 0064732 |
| Reference:
|
[4] K. Fan A. S. Householder: A note concerning positive matrices and M-matrices.Monatshefte Math. 63 (1959), 265-270. MR 0105423, 10.1007/BF01295199 |
| Reference:
|
[5] Д. M. Коmелянскш: Оценки для определителей матриц с преобладающей главной диагональю.ИАН, сер. матем., 20 (1956), 137-144. Zbl 0995.90520, MR 0075917 |
| Reference:
|
[6] А. Ostrowski: Determinanten mit überwiegender Hauptdiagonale und die absolute Konvergenz von linearen Iterationsprozessen.Commentarii Math. Helv. 3° (1956), 175 - 210. Zbl 0072.13803, MR 0076433, 10.1007/BF02564340 |
| Reference:
|
[7] R. S. Varga: On a lemma of Stieltjes on matrices.Westinghouse Technical Report WAPD-T-566. |
| . |
