On the convergence of modified relaxation methods for extremum problems
Applications of Mathematics, Tome 20 (1975) no. 5, pp. 359-371
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

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.
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.
DOI : 10.21136/AM.1975.103601
Classification : 65H10, 65J05, 65K05, 90C30
@article{10_21136_AM_1975_103601,
     author = {K\v{r}{\'\i}\v{z}ek, Miroslav},
     title = {On the convergence of modified relaxation methods for extremum problems},
     journal = {Applications of Mathematics},
     pages = {359--371},
     year = {1975},
     volume = {20},
     number = {5},
     doi = {10.21136/AM.1975.103601},
     mrnumber = {0388770},
     zbl = {0331.65040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103601/}
}
TY  - JOUR
AU  - Křížek, Miroslav
TI  - On the convergence of modified relaxation methods for extremum problems
JO  - Applications of Mathematics
PY  - 1975
SP  - 359
EP  - 371
VL  - 20
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103601/
DO  - 10.21136/AM.1975.103601
LA  - en
ID  - 10_21136_AM_1975_103601
ER  - 
%0 Journal Article
%A Křížek, Miroslav
%T On the convergence of modified relaxation methods for extremum problems
%J Applications of Mathematics
%D 1975
%P 359-371
%V 20
%N 5
%U http://geodesic.mathdoc.fr/articles/10.21136/AM.1975.103601/
%R 10.21136/AM.1975.103601
%G en
%F 10_21136_AM_1975_103601
Křížek, Miroslav. On the convergence of modified relaxation methods for extremum problems. Applications of Mathematics, Tome 20 (1975) no. 5, pp. 359-371. doi: 10.21136/AM.1975.103601

[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.

[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.

[3] Křížek M.: Relaxační metody pro některé extremální problémy. Thesis, Caroline University, Praha 1969.

[4] Ostrowski M. A.: On the linear iteration procedures for symmetric matrices. Rend. Mat. e Appl., (V), 14 (1955), 140-163. | MR

[5] Schechter S.: Iteration methods for nonlinear problems. Trans. Amer. Math. Soc., 104 (1962), 179-189. | DOI | MR | Zbl

[6] Schechter S.: Relaxation Methods for convex problems. SIAM J. Numer. Anal., 5 (1968), 601 - 612. | DOI | MR | Zbl

[7] Varga R. S.: Matrix iterative analysis. Engelwood Cliffs, N. J., Prentice-Hail, 1962. | MR

Cité par Sources :