Universality of the best determined terms method
Applications of Mathematics, Tome 24 (1979) no. 6, pp. 401-405
The properties are studied of the best determined terms method with respect to an a priori decomposition $R(T)$. The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
The properties are studied of the best determined terms method with respect to an a priori decomposition $R(T)$. The universal approximation to the normal solution of the first kind Fredholm integral equation is found.
DOI :
10.21136/AM.1979.103823
Classification :
45B05, 47A50, 65J10, 65R20
Keywords: Hilbert spaces; compact linear operator; normal solution
Keywords: Hilbert spaces; compact linear operator; normal solution
@article{10_21136_AM_1979_103823,
author = {Neuberg, Ji\v{r}{\'\i}},
title = {Universality of the best determined terms method},
journal = {Applications of Mathematics},
pages = {401--405},
year = {1979},
volume = {24},
number = {6},
doi = {10.21136/AM.1979.103823},
mrnumber = {0547043},
zbl = {0453.65036},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1979.103823/}
}
Neuberg, Jiří. Universality of the best determined terms method. Applications of Mathematics, Tome 24 (1979) no. 6, pp. 401-405. doi: 10.21136/AM.1979.103823
[1] T. Kamo: Теория возмущений линейных операторов. изд. Мир, Москва 1972.
[2] R. J. Hanson: A numerical method for solving Fredholm integral equations of the first kind using singular values. Siam J. Numer. Anal., Vol. 8, 1970, p. 616-622. | MR | Zbl
[3] В. А. Морозов: Линейные и нелинейные некорректные задачи. Математический анализ, том 11, Итоги науки и техники, Москва 1973, стр. 129-178. | MR | Zbl
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