Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1139-1147
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Sufficient conditions are found for the asymptotic optimality of projection methods as applied to linear operator equations in Hilbert spaces. The conditions are applicable to a wide class of equations when asymptotically optimal projection methods are sought for their solution. Applications illustrating the result are presented.
@article{ZVMMF_2009_49_7_a0,
author = {F. K. Akhmadishina},
title = {Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1139--1147},
publisher = {mathdoc},
volume = {49},
number = {7},
year = {2009},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a0/}
}
TY - JOUR AU - F. K. Akhmadishina TI - Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2009 SP - 1139 EP - 1147 VL - 49 IS - 7 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a0/ LA - ru ID - ZVMMF_2009_49_7_a0 ER -
%0 Journal Article %A F. K. Akhmadishina %T Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2009 %P 1139-1147 %V 49 %N 7 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a0/ %G ru %F ZVMMF_2009_49_7_a0
F. K. Akhmadishina. Sufficient conditions for the asymptotic optimality of projection methods as applied to operator equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 49 (2009) no. 7, pp. 1139-1147. http://geodesic.mathdoc.fr/item/ZVMMF_2009_49_7_a0/