| Title:
|
Some results on matrices of class $K$ and their application to the convergence rate of iteration procedures (English) |
| Author:
|
Fiedler, Miroslav |
| Author:
|
Pták, Vlastimil |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
16 |
| Issue:
|
2 |
| Year:
|
1966 |
| Pages:
|
260-273 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
65.10 |
| idZBL:
|
Zbl 0208.40103 |
| idMR:
|
MR0196898 |
| DOI:
|
10.21136/CMJ.1966.100728 |
| . |
| Date available:
|
2008-06-09T13:29:30Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100728 |
| . |
| Reference:
|
[1] M. Fiedler V. Pták: Über die Konvergenz des verallgemeinerten Seideischen Verfahrens zur Lösung von Systemen linearer Gleichungen.Math. Nachr. 75 (1956), 31 - 38. MR 0077226, 10.1002/mana.19560150104 |
| Reference:
|
[2] M. Fiedler V. Pták: On matrices with non-positive off-diagonal elements and positive principal minors.Czech. Math. J. 12 (87) (1962), 382-400. MR 0142565 |
| Reference:
|
[3] A. S. Householder: The Theory of Matrices in Numerical Analysis.Blaisdell Publ. Co., N. York, Toronto, London 1964. Zbl 0161.12101, MR 0175290 |
| Reference:
|
[4] R. S. Varga: A comparison of the successive overrelaxation method and semi-iterative methods using Chebyshev polynomials.J. Soc. Indust. Appl. Math. 5 (1957), 39-46. Zbl 0080.10701, MR 0090129, 10.1137/0105004 |
| Reference:
|
[5] R. S. Varga: Orderings of the successive overrelaxation scheme.Рас. J. Math. 9 (1959), 925-939. MR 0113275 |
| Reference:
|
[6] D. Young: Iterative methods for solving partial difference equations of elliptic type.Trans. Amer. Math. Soc. 76 (1954), 92-111. Zbl 0055.35704, MR 0059635, 10.1090/S0002-9947-1954-0059635-7 |
| . |
