Some functionals, stable in the sense of A. N. Tikhonov, for multidimensional ill-posed problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 301-306
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Using the example of two multi-dimensional converse problems, it is shown that stabilizing functionals of simplified construction, making explicit use of supplementary information about, the required solution, i.e., conditional stabilizers, can be used in the context of the general Tikhonov-regularizing algorithm.
@article{ZVMMF_1983_23_2_a5,
author = {V. B. Glasko and E. E. Kondorskaya},
title = {Some functionals, stable in the sense of {A.} {N.~Tikhonov,} for multidimensional ill-posed problems},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {301--306},
publisher = {mathdoc},
volume = {23},
number = {2},
year = {1983},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a5/}
}
TY - JOUR AU - V. B. Glasko AU - E. E. Kondorskaya TI - Some functionals, stable in the sense of A. N. Tikhonov, for multidimensional ill-posed problems JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1983 SP - 301 EP - 306 VL - 23 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a5/ LA - ru ID - ZVMMF_1983_23_2_a5 ER -
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V. B. Glasko; E. E. Kondorskaya. Some functionals, stable in the sense of A. N. Tikhonov, for multidimensional ill-posed problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 23 (1983) no. 2, pp. 301-306. http://geodesic.mathdoc.fr/item/ZVMMF_1983_23_2_a5/