Geodesic
A modification of conjugate direction methods
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 7-11 
L. F. Yukhno. A modification of conjugate direction methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 1, pp. 7-11. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a1/
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     author = {L. F. Yukhno},
     title = {A~modification of conjugate direction methods},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_1_a1/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A modification of well-known conjugate direction methods is proposed and examined. The modified methods are more stable with respect to round-off error accumulation and are applicable to ill-conditioned and ill-posed problems. The advantages of the modification are illustrated by numerical experiments.

[1] Faddeev D. K., Faddeeva V. N., Vychislitelnye metody lineinoi algebry, Fizmatgiz, M., 1960 | MR

[2] Abramov A. A., Yukhno L. F., “Odin metod isklyucheniya dlya lineinykh zadach”, Zh. vychisl. matem. i matem. fiz., 38:4 (1998), 547–556 | MR | Zbl

[3] Abramov A. A., Ulyanova V. I., Yukhno L. F., “O primenenii metoda Kreiga k resheniyu lineinykh uravnenii s netochno zadannymi iskhodnymi dannymi”, Zh. vychisl. matem. i matem. fiz., 42:12 (2002), 1763–1770 | MR | Zbl

[4] Abramov A. A., Ulyanova V. I., Yukhno L. F., “O realizatsii odnogo metoda isklyucheniya v lineinykh zadachakh s netochno zadannymi iskhodnymi dannymi”, Zh. vychisl. matem. i matem. fiz., 44:4 (2004), 640–649 | MR | Zbl

[5] Pavlov A. C., Yukhno L. F., “O reshenii plokho obuslovlennykh sistem iteratsionnymi metodami”, Matem. modelirovanie, 16:7 (2004), 13–20 | MR | Zbl