New convergence criteria for the Newton-Kantorovich method and some applications to nonlinear integral equations

Rendiconti del Seminario Matematico dell Universita di Padova

Volumn 100, Issue , 1998, Pages 210-230

  De Pascale, Espedito ^a   Zabrejko, Pjotr P ^b  

^a UNIVERSITY OF CALABRIA   (Italy)

^b BELARUSIAN STATE UNIVERSITY   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 54649083302     PISSN: 00418994     EISSN: 22402926     Source Type: Journal    
DOI: None     Document Type: Article

References (17)

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9. M. A. KRASNOSELQ'SKIJ - P. P. ZABREJKO - JE. I. PUSTYL'NIK - P. JE. SOBOLEVSKIJ, Integral Operators in Spaces of Summable Functions, Noordhoff, Leyden (1976).
10. JU. V. LYSENKO, Conditions for the convergence of the Netwon-Kantorovich method for nonlinear equations with Hölder linearizations nonlinearities (Russian), Dokl. Akad. Nauk BSSR, 38, No. 30 (1994), pp. 20-24.
11. I. P. MYSOVSKIKH, On the convergence of L.V. Kantorovich's method of solution of functional equations and its applications (in Russian), Dokl. Akad. Nauk. SSSR, 70, No. 4 (1950), pp. 565-568.
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15. P. P. ZABREJKO - D. F. NGUYEN, The majorant method in the theory of Newton-Kantorovich approximations and the Pták estimates, Numer. Funct. Anal. Optim., 9 (1987), pp. 671-684.
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17. P. P. ZABREJKO - D. F. NGUYEN, Estimating the rate of convergence of the Newton-Kantorovich method for equations with Holder linearizations (in Russian), Izv. Akad. Nauk BSSR, 2 (1991), pp. 8-14.