A modification of minimal iteration methods for solving systems of linear algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 595-611
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Modifications of certain minimal iteration methods for solving systems of linear algebraic equations are proposed and examined. The modified methods are shown to be superior to the original versions with respect to the round-off error accumulation, which makes them applicable to solving ill-conditioned problems. Numerical results demonstrating the efficiency of the proposed modifications are given.
@article{ZVMMF_2010_50_4_a0,
author = {L. F. Yukhno},
title = {A modification of minimal iteration methods for solving systems of linear algebraic equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {595--611},
publisher = {mathdoc},
volume = {50},
number = {4},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a0/}
}
TY - JOUR AU - L. F. Yukhno TI - A modification of minimal iteration methods for solving systems of linear algebraic equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2010 SP - 595 EP - 611 VL - 50 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a0/ LA - ru ID - ZVMMF_2010_50_4_a0 ER -
%0 Journal Article %A L. F. Yukhno %T A modification of minimal iteration methods for solving systems of linear algebraic equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2010 %P 595-611 %V 50 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a0/ %G ru %F ZVMMF_2010_50_4_a0
L. F. Yukhno. A modification of minimal iteration methods for solving systems of linear algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 595-611. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a0/