Geodesic
An approach to finding singular solutions to a general system of nonlinear equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 3, pp. 365-377 
O. A. Brezhneva; A. F. Izmailov; A. A. Tret'yakov; A. Khmura. An approach to finding singular solutions to a general system of nonlinear equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 3, pp. 365-377. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_3_a3/
@article{ZVMMF_2000_40_3_a3,
     author = {O. A. Brezhneva and A. F. Izmailov and A. A. Tret'yakov and A. Khmura},
     title = {An approach to finding singular solutions to a general system of nonlinear equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {365--377},
     year = {2000},
     volume = {40},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_3_a3/}
}
TY  - JOUR
AU  - O. A. Brezhneva
AU  - A. F. Izmailov
AU  - A. A. Tret'yakov
AU  - A. Khmura
TI  - An approach to finding singular solutions to a general system of nonlinear equations
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2000
SP  - 365
EP  - 377
VL  - 40
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_3_a3/
LA  - ru
ID  - ZVMMF_2000_40_3_a3
ER  - 
%0 Journal Article
%A O. A. Brezhneva
%A A. F. Izmailov
%A A. A. Tret'yakov
%A A. Khmura
%T An approach to finding singular solutions to a general system of nonlinear equations
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2000
%P 365-377
%V 40
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_3_a3/
%G ru
%F ZVMMF_2000_40_3_a3

Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Oben Zh.-P., Ekland I., Prikladnoi nelineinyi analiz, Mir, M., 1988 | MR

[2] Izmailov A. F., “Ustoichivye osobye resheniya nelineinykh operatornykh uravnenii s parametrom”, Zh. vychisl. matem. i matem. fiz., 39:5 (1999), 707–717 | MR | Zbl

[3] Izmailov A. F., “Osobye resheniya parametricheskikh uravnenii i metod iskusstvennoi parametrizatsii”, Zh. vychisl. matem. i matem. fiz., 39:8 (1999), 1283–1289 | MR | Zbl

[4] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem uravnenii so mnogimi neizvestnymi, Mir, M., 1975 | MR

[5] Griewank A. O, “Starlike domains of convergence for Newton's method at singularities”, Numer. Math., 35 (1980), 95–111 | DOI | MR | Zbl

[6] Decker D. W., Keller H. B., Kelley C. T., “Convergence ratibs for Newton's method at singular points”, SIAM J. Numer. Analys., 20:2 (1983), 296–314 | DOI | MR | Zbl

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

[8] Belash K. N., Tretyakov A. A., “Metody resheniya vyrozhdennykh zadach”, Zh. vychisl. matem. i matem. fiz., 28:7 (1988), 1097–1102 | MR | Zbl

[9] Izmailov A. F., Tretyakov A. A., “O lokalnoi regulyarizatsii nekotorykh klassov nelineinykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 36:7 (1996), 15–29 | MR | Zbl

[10] Izmailov A. F., “Ustoichivye metody dlya otyskaniya 2-regulyarnykh reshenii nelineinykh operatornykh uravnenii”, Zh. vychisl. matem. i matem. fiz., 36:9 (1996), 22–34 | MR | Zbl

[11] Shilov G. E., Matematicheskii analiz (konechnomernye lineinye prostranstva), Nauka, M., 1969 | MR

[12] Chmura A., Tretiakov A., “New methods for solving nonlinear sungular problems”, Nonlinear Oscillations. Kyiv, 2:1 (1999), 133–137 | MR

[13] Karmanov V. G., Matematicheskoe programmirovanie, Nauka, M., 1989 | MR

[14] Izmailov A. F., “O metodakh Lagranzha dlya otyskanii vyrozhdennykh reshenii zadach na uslovnyi ekstremum”, Zh. vychisl. matem. i matem. fiz., 351:4 (1996), 10–17 | MR

[15] Alekseev V. M., Tikhomirov V. M., Fomin S. V., Optimalnoe upravlenie, Nauka, M., 1979 | MR

[16] Arnold V. I., Varchenko A. N., Tusein-Zade S. M., Osobennosti differentsiruemykh otobrazhenii. Klassifikatsiya kriticheskikh tochek, kaustik i volnovykh frontov, Nauka, M., 1982 | MR