The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1097-1106
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Normwise approximation of a given element of functional Hilbert space by a sum of products of functions of only a single variable is considered. The iterative sequence of solutions, of equations derived from the necessary conditions for error norm minimization, is shown to be compact if the norm has special properties.
@article{ZVMMF_1979_19_5_a1,
author = {E. D. Viktorov},
title = {The convergence of~a~procedure for calculating an~approximate solution in~the generalized {Kantorovich} method},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1097--1106},
publisher = {mathdoc},
volume = {19},
number = {5},
year = {1979},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a1/}
}
TY - JOUR AU - E. D. Viktorov TI - The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1979 SP - 1097 EP - 1106 VL - 19 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a1/ LA - ru ID - ZVMMF_1979_19_5_a1 ER -
%0 Journal Article %A E. D. Viktorov %T The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1979 %P 1097-1106 %V 19 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a1/ %G ru %F ZVMMF_1979_19_5_a1
E. D. Viktorov. The convergence of a procedure for calculating an approximate solution in the generalized Kantorovich method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 19 (1979) no. 5, pp. 1097-1106. http://geodesic.mathdoc.fr/item/ZVMMF_1979_19_5_a1/