| Title:
|
On the convergence of modified relaxation methods for extremum problems (English) |
| Author:
|
Křížek, Miroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
20 |
| Issue:
|
5 |
| Year:
|
1975 |
| Pages:
|
359-371 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper an attempt is made to present a sudfficient general analysis of the convergence of modified relaxation methods for certain nonlinear problems in finite dimensional spaces. Many important results that have already been attained for linear problems are included here as special cases. () |
| MSC:
|
65H10 |
| MSC:
|
65J05 |
| MSC:
|
65K05 |
| MSC:
|
90C30 |
| idZBL:
|
Zbl 0331.65040 |
| idMR:
|
MR0388770 |
| DOI:
|
10.21136/AM.1975.103601 |
| . |
| Date available:
|
2008-05-20T18:02:03Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103601 |
| . |
| Reference:
|
[1] Křížek M.: Cyklické relaxační metody pro řešení soustav lineárních algebraických rovnic.Sborník prací Vysoké školy strojní a elektrotechnické v Plzni za rok 1965, 41 - 57. |
| Reference:
|
[2] Křížek M.: Residuálně řízené relaxační metody pro řešení soustav lineárních algebraických rovnic.Sborník prací Vysoké školy strojní a elektrotechnické v Plzni za rok 1970, 47-54. |
| Reference:
|
[3] Křížek M.: Relaxační metody pro některé extremální problémy.Thesis, Caroline University, Praha 1969. |
| Reference:
|
[4] Ostrowski M. A.: On the linear iteration procedures for symmetric matrices.Rend. Mat. e Appl., (V), 14 (1955), 140-163. MR 0070261 |
| Reference:
|
[5] Schechter S.: Iteration methods for nonlinear problems.Trans. Amer. Math. Soc., 104 (1962), 179-189. Zbl 0106.31801, MR 0152142, 10.1090/S0002-9947-1962-0152142-7 |
| Reference:
|
[6] Schechter S.: Relaxation Methods for convex problems.SIAM J. Numer. Anal., 5 (1968), 601 - 612. Zbl 0179.22701, MR 0247766, 10.1137/0705048 |
| Reference:
|
[7] Varga R. S.: Matrix iterative analysis.Engelwood Cliffs, N. J., Prentice-Hail, 1962. MR 0158502 |
| . |
