Geodesic
A modification of a numerical method for solving a nonlinear eigenvalue problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 5, pp. 713-717 
M. A. Aslanyan; S. V. Kartyshov. A modification of a numerical method for solving a nonlinear eigenvalue problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 5, pp. 713-717. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_5_a1/
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[1] Konkova T. Ya., Kublanovskaya V. N., Savinova L. T., “K resheniyu nelineinoi spektralnoi zadachi dlya matrits”, Zap. nauchn. seminarov LOMI AN SSSR, 58, 1976, 58–67

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

[3] Jain N. K., Singhal K., Huseyin K., “On roots of functional lambda-matrices”, Comput. Meth. Appl. Mech. Engng., 40 (1983), 277–292 | DOI | Zbl

[4] 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

[5] Bitsadze A. V., Osnovy teorii analiticheskikh funktsii kompleksnogo peremennogo, Nauka, M., 1972

[6] Lancaster P., Lambda-matrices and vibrating system, Pergamon Press, Oxford, 1966 | Zbl

[7] Ermakov V. V., Kalitkin N. N., “Optimalnyi shag i regulyarizatsiya metoda Nyutona”, Zh. vychisl. matem. i matem. fiz., 21:2 (1981), 491–497 | MR | Zbl