Geodesic
Methods for solving nonlinear operator equations with singular Fredholm derivatives
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 2, pp. 145-152 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1997_37_2_a2,
     author = {A. F. Izmailov},
     title = {Methods for solving nonlinear operator equations with singular {Fredholm} derivatives},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {145--152},
     year = {1997},
     volume = {37},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a2/}
}
TY  - JOUR
AU  - A. F. Izmailov
TI  - Methods for solving nonlinear operator equations with singular Fredholm derivatives
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1997
SP  - 145
EP  - 152
VL  - 37
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a2/
LA  - ru
ID  - ZVMMF_1997_37_2_a2
ER  - 
%0 Journal Article
%A A. F. Izmailov
%T Methods for solving nonlinear operator equations with singular Fredholm derivatives
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1997
%P 145-152
%V 37
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a2/
%G ru
%F ZVMMF_1997_37_2_a2
A. F. Izmailov. Methods for solving nonlinear operator equations with singular Fredholm derivatives. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 37 (1997) no. 2, pp. 145-152. http://geodesic.mathdoc.fr/item/ZVMMF_1997_37_2_a2/

[1] Izmailov A. F., Tretyakov A. A., Faktoranaliz nelineinykh otobrazhenii, Nauka, M., 1994 | Zbl

[2] Decker D. W., Kelley C. T., “Convergence acceleration for Newton's method at singular points”, SIAM J. Numer. Analys., 19:1 (1981), 219–229 | DOI | MR

[3] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl

[4] Izmailov A. F., “Ob odnom klasse ustoichivykh metodov resheniya nelineinykh operatornykh uravnenii s gladkimi operatorami”, Vestn. MGU. Ser. 15, 1995, no. 2, 42–48 | MR

[5] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[6] Peters G., Wilkinson J. H., “Inverce iteration, ill-conditioned equations and Newton's method”, SIAM Rev., 21 (1979), 339–360 | DOI | MR | Zbl

[7] Chandrasekhar S., Radiative transfer, Dover, New York, 1960 | MR

[8] Millikin T. W., “Some probability distributions for neutron transport in a half space”, J. Appl. Problems, 5 (1968), 357–374 | DOI | MR

[9] Bakhvalov N. S., Zhidkov N. P., Kobelkov G. M., Chislennye metody, Nauka, M., 1987 | MR | Zbl