@article{ZVMMF_2010_50_5_a2,
author = {A. M. Vetoshkin},
title = {Structure of {quasi-Newton} minimization methods},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {817--831},
year = {2010},
volume = {50},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a2/}
}
A. M. Vetoshkin. Structure of quasi-Newton minimization methods. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 5, pp. 817-831. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_5_a2/
[1] Vasilev F. P., Metody optimizatsii, Faktorial Press, M., 2002
[2] Evtushenko Yu. G., Metody resheniya ekstremalnykh zadach i ikh primenenie v sistemakh optimizatsii, Nauka, M., 1982 | MR | Zbl
[3] Pshenichnyi B. N., Danilin Yu. M., Chislennye metody v ekstremalnykh zadachakh, Nauka, M., 1975 | MR | Zbl
[4] Fletcher R., Practical methods of optimization, J. Willy and Sons, N.Y., 1986 | MR
[5] Dennis Dzh. ml., Shnabel R., Chislennye metody bezuslovnoi optimizatsii i resheniya nelineinykh uravnenii, Mir, M., 1988 | MR | Zbl
[6] Gill F., Myurrei U., Rait M., Prakticheskaya optimizatsiya, Mir, M., 1985 | MR
[7] Broyden C. G., “Quasi-Newton methods and their application to function minimization”, Math. Comput., 21 (1967), 368–381 | DOI | MR | Zbl
[8] Broyden C. G., “The convergence of a class of Double-rank minimization algorithms”, J. Inst. Math. Appl., 1970, no. 6, 76–90 ; 222–236 | DOI | MR | Zbl
[9] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl
[10] Khorn R., Dzhonson Ch., Matrichnyi analiz, Mir, M., 1989 | MR
[11] Malozemov V. N., Monako M. F., Petrov A. V., “Formuly Frobeniusa, Shermana–Morrisona i blizkie voprosy”, Zh. vychisl. matem. i matem. fiz., 42:10 (2002), 1459–1465 | MR | Zbl
[12] Gantmakher F. R., Teoriya matrits, Nauka, M., 1967 | MR
[13] Prasolov V. V., Zadachi i teoremy lineinoi algebry, Fizmatlit, M., 1996 | Zbl
[14] Sukharev A. G., Timokhov A. V., Fedorov V. V., Kurs metodov optimizatsii, Nauka, M., 1986 | MR | Zbl