Argyros, Ioannis K.; Hilout, Saïd The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. (English) Zbl 1329.65114 J. Comput. Appl. Math. 291, 332-347 (2016). MSC: 65J15 47H10 49M15 × Cite Format Result Cite Review PDF Full Text: DOI
Argyros, Ioannis K.; Magreñán, Á. Alberto Extended convergence results for the Newton-Kantorovich iteration. (English) Zbl 1314.65077 J. Comput. Appl. Math. 286, 54-67 (2015). MSC: 65J15 65G50 × Cite Format Result Cite Review PDF Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K. Expanding the applicability of Newton’s method using Smale’s \(\alpha\)-theory. (English) Zbl 1291.65167 J. Comput. Appl. Math. 261, 183-200 (2014). Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola) MSC: 65J15 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
Argyros, I. K.; Khattri, S. K. Weaker Kantorovich type criteria for inexact Newton methods. (English) Zbl 1278.65064 J. Comput. Appl. Math. 261, 103-117 (2014). MSC: 65H10 65J20 65G99 65B05 65N30 76M10 76W05 × Cite Format Result Cite Review PDF Full Text: DOI