| Title:
|
Generalized norms of matrices and the location of the spectrum (English) |
| Author:
|
Fiedler, Miroslav |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
12 |
| Issue:
|
4 |
| Year:
|
1962 |
| Pages:
|
558-571 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
47.10 |
| idZBL:
|
Zbl 0116.25302 |
| idMR:
|
MR0146667 |
| DOI:
|
10.21136/CMJ.1962.100540 |
| . |
| Date available:
|
2008-06-09T13:16:19Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100540 |
| . |
| Reference:
|
[1] A. Brauer: Limits for the characteristic roots of a matrix I - V.Duke Math. Journal 13 (1946), 387-395; 14 (1947), 21-26; 15 (1948), 871-877; 19 (1952), 75-91; 19 (1952), 553-562. MR 0020540 |
| Reference:
|
[2] K. Fan A. J. Hoffman: Lower bounds for the rank and location of the eigenvalues of a matrix.Nat. Bur. Stand. Appl. Math. Ser. 39, 117 - 130. MR 0064732 |
| Reference:
|
[3] M. Fiedler V. Pták: On matrices with non-positive off-diagonal elements and positive principal minors.Czech. Math. Journal 87 (1962), 382-400. MR 0142565 |
| Reference:
|
[4] M. Fiedler V. Pták: Some inequalities for the spectrum of a matrix.Matem.-fyz. časopis SAV 10 (1960), 148-166. MR 0124334 |
| Reference:
|
[5] S. Geršgorin: Über die Abgrenzung der Eigenwerte einer Matrix.Izv. Akad. Nauk SSSR 7 (1931), 749-754. |
| Reference:
|
[6] A. Ostrowski: Sur les conditions générales pour la régularité des matrices.Rend. di Matem. e delle sue appl. 10 (1951), 156-168. Zbl 0044.25201, MR 0049151 |
| . |
