Geodesic
On solving indefinite symmetric linear systems by means of the Lanczos method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 3, pp. 371-377

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

A new result on the distribution of Ritz values at two consecutive steps of a simple Lanczos process is proved. It is used in showing why the Lanczos method effectively solves indefinite symmetric linear systems in computer arithmetic. The result of a numerical experiment is presented. 
@article{ZVMMF_1999_39_3_a2,
     author = {A. Greenbaum and V. L. Druskin and L. A. Knizhnerman},
     title = {On solving indefinite symmetric linear systems by means of the {Lanczos} method},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {371--377},
     publisher = {mathdoc},
     volume = {39},
     number = {3},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_3_a2/}
}
TY  - JOUR
AU  - A. Greenbaum
AU  - V. L. Druskin
AU  - L. A. Knizhnerman
TI  - On solving indefinite symmetric linear systems by means of the Lanczos method
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1999
SP  - 371
EP  - 377
VL  - 39
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_3_a2/
LA  - en
ID  - ZVMMF_1999_39_3_a2
ER  - 
%0 Journal Article
%A A. Greenbaum
%A V. L. Druskin
%A L. A. Knizhnerman
%T On solving indefinite symmetric linear systems by means of the Lanczos method
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1999
%P 371-377
%V 39
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_3_a2/
%G en
%F ZVMMF_1999_39_3_a2
A. Greenbaum; V. L. Druskin; L. A. Knizhnerman. On solving indefinite symmetric linear systems by means of the Lanczos method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 3, pp. 371-377. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_3_a2/