The solution of the nonlinear eigenvalue problem in problems of mathematical physics
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 9, pp. 1410-1414 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Ivanov; R. Z. Samerkhanov. The solution of the nonlinear eigenvalue problem in problems of mathematical physics. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 9, pp. 1410-1414. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_9_a14/

[1] Aleksidze M. A., Reshenie granichnykh zadach metodom razlozheniya po neortogonalnym funktsiyam, Nauka, M., 1978 | MR | Zbl

[2] Mikhlin S. G., Variatsionnye metody v matematicheskoi fizike, Nauka, M., 1970 | MR | Zbl

[3] Rektoris K., Variatsionnye metody v matematicheskoi fizike i tekhnike, Mir, M., 1985 | MR | Zbl

[4] Ruhe A., “Algorithms for the nonlinear eigenvalue problem”, SIAM J. Numer. Analys., 10 (1973), 674–690 | DOI | MR

[5] Konkova T. Ya., Kublanovskaya V. N., Savinova L. T., “K resheniyu nelineinoi spektralnoi zadachi dlya matrits”, Zap. nauch. seminarov LOMI AN SSSR, 58, 1976, 58–67

[6] Arbenz P., Gander W., “Solving nonlinear eigenvalue problems by algorithmic differentiation”, Computing, 36 (1986), 205–215 | DOI | MR | Zbl

[7] Kartyshov S. V., “Chislennyi metod resheniya zadachi na sobstvennye znacheniya s nelineinym vkhozhdeniem spektralnogo parametra dlya razrezhennykh matrits”, Zh. vychisl. matem. i matem. fiz., 29:12 (1989), 1898–1903 | MR

[8] Rais Dzh., Matrichnye vychisleniya i matematicheskoe obespechenie, Mir, M., 1984 | MR

[9] Godunov S. K., Antonov A. G., Kirilyuk O. P., Kostin V. I., Garantirovannaya tochnost resheniya sistem lineinykh uravnenii v evklidovykh prostranstvakh, Nauka, Novosibirsk, 1988 | MR

[10] Louson Ch., Khenson R., Chislennoe reshenie zadach metoda naimenshikh kvadratov, Nauka, M., 1986 | MR

[11] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[12] Wobst R., “The generalized eigenvalue problem and acoustic surface wave computations”, Computing, 39:1 (1987), 57–69 | DOI | MR | Zbl

[13] Gulin A. V., Drozdova O. M., Kartyshov S. V., Iteratsionnyi metod resheniya zadachi na sobstvennye znacheniya s nelineinym vkhozhdeniem spektralnogo parametra, Preprint No 137, IPMatem. AN SSSR, M., 1986