Geodesic
On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1811-1818

Voir la notice de l'article provenant de la source Math-Net.Ru

A modification of certain well-known methods of the conjugate direction type is proposed and examined. The modified methods are more stable with respect to the accumulation of round-off errors. Moreover, these methods are applicable for solving ill-conditioned systems of linear algebraic equations that, in particular, arise as approximations of ill-posed problems. Numerical results illustrating the advantages of the proposed modification are presented. 
@article{ZVMMF_2007_47_11_a0,
     author = {L. F. Yukhno},
     title = {On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1811--1818},
     publisher = {mathdoc},
     volume = {47},
     number = {11},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a0/}
}
TY  - JOUR
AU  - L. F. Yukhno
TI  - On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1811
EP  - 1818
VL  - 47
IS  - 11
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a0/
LA  - ru
ID  - ZVMMF_2007_47_11_a0
ER  - 
%0 Journal Article
%A L. F. Yukhno
%T On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1811-1818
%V 47
%N 11
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a0/
%G ru
%F ZVMMF_2007_47_11_a0
L. F. Yukhno. On modification of certain methods of the conjugate direction type for solving systems of linear algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 11, pp. 1811-1818. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_11_a0/