Application of half-derivatives in numerical analysis
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 3-17 Cet article a éte moissonné depuis la source Math-Net.Ru

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Generalized concepts of the Lipschitz constant and the divided difference are used to develop a technique for analyzing numerical methods. Based on the technique, new results are obtained concerning error estimation for a nonlinear equation in a Banach space.
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S. E. Miheev. Application of half-derivatives in numerical analysis. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 48 (2008) no. 1, pp. 3-17. http://geodesic.mathdoc.fr/item/ZVMMF_2008_48_1_a0/

[1] Mikheev S. E., Nelineinye metody v optimizatsii, Izd-vo SPbGU, SPb, 2001

[2] Ponomarev V. M., Gorichev Yu. V., Gorodetskii V. I., “Posledovatelnaya optimizatsiya nelineinogo zakona upravleniya”, Nelineinaya optimizatsiya sistem avtomatich. upravleniya, Mashinostr., M., 1970, 15–19

[3] Potseluev A. B., Maiboroda L. A., Ponomarev V. M. i dr., Statisticheskii analiz i optimizatsiya sledyaschikh sistem, Mashinostr., M., 1977

[4] Shilov G. E., Matematicheskii analiz: Spetsialnyi kurs, Fizmatgiz, M., 1961 | MR

[5] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR

[6] Kantorovich L. V., Akilov G. P., Funktsionalnyi analiz, Nauka, M., 1977 | MR | Zbl

[7] Titchmarsh E., Teoriya funktsii, Mir, M., 1982

[8] Mysovskikh I. P., “O skhodimosti metoda L. V. Kantorovicha resheniya funktsionalnykh uravnenii i ego primeneniyakh”, Dokl. AN SSSR, 70:4 (1950), 565–568

[9] Krasnoselskii M. A. i dr., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR

[10] Gavurin M. K., “Nelineinye funktsionalnye uravneniya i nepreryvnye analogi iteratsionnykh metodov”, Izv. vuzov, 1956, no. 5(6), 18–31 | MR

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

[12] Kartan A., Differentsialnoe ischislenie, differentsialnye formy, Mir, M., 1971 | MR | Zbl