Convergence of the accelerated overrelaxation method
Applications of Mathematics, Tome 34 (1989) no. 6, pp. 475-479
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The convergence of the Accelerated Overrelaxation (AOR) method is discussed. It is shown that the intervals of convergence for the parameters $\sigma$ and $\omega$ are not always of the following form: $0\leq \omega \leq \omega_1, -\sigma_1\leq\sigma\leq\sigma_2, \sigma_1, \sigma_2\geq 0$.
DOI :
10.21136/AM.1989.104378
Classification :
65F10
Keywords: accelerated overrelaxation method; AOR method; successive overrelaxation; rate of convergence; relaxation parameter; interval of convergence; iterative process
Keywords: accelerated overrelaxation method; AOR method; successive overrelaxation; rate of convergence; relaxation parameter; interval of convergence; iterative process
@article{10_21136_AM_1989_104378,
author = {Herceg, Dragoslav and Cvetkovi\'c, Ljiljana},
title = {Convergence of the accelerated overrelaxation method},
journal = {Applications of Mathematics},
pages = {475--479},
publisher = {mathdoc},
volume = {34},
number = {6},
year = {1989},
doi = {10.21136/AM.1989.104378},
mrnumber = {1026512},
zbl = {0697.65020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104378/}
}
TY - JOUR AU - Herceg, Dragoslav AU - Cvetković, Ljiljana TI - Convergence of the accelerated overrelaxation method JO - Applications of Mathematics PY - 1989 SP - 475 EP - 479 VL - 34 IS - 6 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104378/ DO - 10.21136/AM.1989.104378 LA - en ID - 10_21136_AM_1989_104378 ER -
%0 Journal Article %A Herceg, Dragoslav %A Cvetković, Ljiljana %T Convergence of the accelerated overrelaxation method %J Applications of Mathematics %D 1989 %P 475-479 %V 34 %N 6 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.21136/AM.1989.104378/ %R 10.21136/AM.1989.104378 %G en %F 10_21136_AM_1989_104378
Herceg, Dragoslav; Cvetković, Ljiljana. Convergence of the accelerated overrelaxation method. Applications of Mathematics, Tome 34 (1989) no. 6, pp. 475-479. doi: 10.21136/AM.1989.104378
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