Verma, Ram U. Higher order Newton’s methods. (English) Zbl 1359.65075 Adv. Nonlinear Var. Inequal. 19, No. 2, 82-93 (2016). MSC: 65H05 PDFBibTeX XMLCite \textit{R. U. Verma}, Adv. Nonlinear Var. Inequal. 19, No. 2, 82--93 (2016; Zbl 1359.65075)
Argyros, Ioannis K.; George, Santhosh Ball convergence for a Newton-Steffensen-type third-order method. (English) Zbl 1323.65053 Adv. Nonlinear Var. Inequal. 18, No. 1, 37-45 (2015). Reviewer: Anton Iliev (Plovdiv) MSC: 65H05 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Adv. Nonlinear Var. Inequal. 18, No. 1, 37--45 (2015; Zbl 1323.65053)
Argyros, Ioannis K.; Hilout, Saïd Optimal Newton-type methods for solving nonlinear equations. (English) Zbl 1242.65111 Adv. Nonlinear Var. Inequal. 14, No. 1, 47-59 (2011). Reviewer: János Karátson (Budapest) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, Adv. Nonlinear Var. Inequal. 14, No. 1, 47--59 (2011; Zbl 1242.65111)
Argyros, Ioannis K. Semilocal convergence of Newton’s method under a weak gamma condition. (English) Zbl 1300.65033 Adv. Nonlinear Var. Inequal. 13, No. 1, 65-73 (2010). MSC: 65J15 65B05 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 13, No. 1, 65--73 (2010; Zbl 1300.65033)
Argyros, Ioannis K. On the feasiblity of continuation methods for solving equations. (English) Zbl 1300.65030 Adv. Nonlinear Var. Inequal. 13, No. 1, 57-63 (2010). MSC: 65H10 65G99 65J15 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 13, No. 1, 57--63 (2010; Zbl 1300.65030)
Argyros, Ioannis K. On the convergence of Stirling’s method in Banach spaces under gamma-type condition. (English) Zbl 1300.65034 Adv. Nonlinear Var. Inequal. 12, No. 2, 17-23 (2009). MSC: 65J15 65G99 65K10 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 12, No. 2, 17--23 (2009; Zbl 1300.65034)
Argyros, Ioannis K. Local convergence of Newton’s method for generalized equations under Lipschitz conditions on the Fréchet derivative. (English) Zbl 1143.65347 Adv. Nonlinear Var. Inequal. 10, No. 1, 101-105 (2007). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 10, No. 1, 101--105 (2007; Zbl 1143.65347)
Argyros, Ioannis K. On the solution of nonlinear complementarity problems. (English) Zbl 1146.65052 Adv. Nonlinear Var. Inequal. 10, No. 1, 79-88 (2007). Reviewer: Hang Lau (Montréal) MSC: 65K05 90C33 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 10, No. 1, 79--88 (2007; Zbl 1146.65052)
Argyros, Ioannis K. On the computation of continuation curves for solving nonlinear equations. (English) Zbl 1117.65328 Adv. Nonlinear Var. Inequal. 8, No. 2, 101-108 (2005). MSC: 65H20 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 2, 101--108 (2005; Zbl 1117.65328)
Argyros, Ioannis K. On the computation of shadowing orbits for dynamical systems. (English) Zbl 1117.65333 Adv. Nonlinear Var. Inequal. 8, No. 2, 87-91 (2005). MSC: 65J15 37C27 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 2, 87--91 (2005; Zbl 1117.65333)
Argyros, Ioannis K. On the applicability of Newton’s method for solving equations in a Banach space under center-Lipschitz-type conditions. (English) Zbl 1071.65079 Adv. Nonlinear Var. Inequal. 8, No. 1, 133-142 (2005). Reviewer: W. C. Rheinboldt (Pittsburgh) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 1, 133--142 (2005; Zbl 1071.65079)
Argyros, Ioannis K. An improved approach of obtaining good starting points for solving equations by Newton’s method. (English) Zbl 1069.65059 Adv. Nonlinear Var. Inequal. 8, No. 1, 111-117 (2005). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 1, 111--117 (2005; Zbl 1069.65059)
Argyros, Ioannis K. On a weak semilocal convergence theorem for Newton’s method in Banach space. (English) Zbl 1069.65058 Adv. Nonlinear Var. Inequal. 8, No. 1, 103-109 (2005). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 1, 103--109 (2005; Zbl 1069.65058)
Argyros, Ioannis K. On alternative directions to some theorems of S. Smale and W. C. Rheinboldt concerning Newton’s method. (English) Zbl 1070.65037 Adv. Nonlinear Var. Inequal. 8, No. 1, 57-62 (2005). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 8, No. 1, 57--62 (2005; Zbl 1070.65037)
Argyros, Ioannis K. On a weak Newton-Kantorovich-type theorem for solving nonlinear equations in a Banach space. (English) Zbl 1087.65562 Adv. Nonlinear Var. Inequal. 7, No. 2, 101-109 (2004). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 7, No. 2, 101--109 (2004; Zbl 1087.65562)
Argyros, Ioannis K. On a Newton-Kantorovich-type theorem for solving equations in a Banach space and applications. (English) Zbl 1087.65560 Adv. Nonlinear Var. Inequal. 7, No. 2, 79-88 (2004). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 7, No. 2, 79--88 (2004; Zbl 1087.65560)
Argyros, Ioannis K. Local-semilocal convergence theorems for Newton’s method in Banach spaces and applications. (English) Zbl 1082.65057 Adv. Nonlinear Var. Inequal. 7, No. 1, 121-132 (2004). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 7, No. 1, 121--132 (2004; Zbl 1082.65057)
Argyros, Ioannis K. A convergence analysis and applications of Newton’s method on generalized Banach spaces. (English) Zbl 1082.65538 Adv. Nonlinear Var. Inequal. 6, No. 2, 109-119 (2003). MSC: 65J15 47J25 47H07 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 6, No. 2, 109--119 (2003; Zbl 1082.65538)
Argyros, Ioannis K. On the solution of compact operator equations using the modified Newton’s method with perturbations. (English) Zbl 1014.65041 Adv. Nonlinear Var. Inequal. 5, No. 1, 57-61 (2002). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 5, No. 1, 57--61 (2002; Zbl 1014.65041)
Argyros, Ioannis K. A modification of the Newton-Kantorovich hypotheses for the convergence of Newton’s method. (English) Zbl 1013.65056 Adv. Nonlinear Var. Inequal. 4, No. 1, 35-40 (2001). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 4, No. 1, 35--40 (2001; Zbl 1013.65056)
Argyros, Ioannis K. Error bounds for Newton’s method under hypotheses on the \(m\)-th Fréchet derivative. (English) Zbl 1013.65054 Adv. Nonlinear Var. Inequal. 4, No. 1, 23-33 (2001). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 4, No. 1, 23--33 (2001; Zbl 1013.65054)
Argyros, Ioannis K. Improved error bounds for Newton’s method under hypotheses on the second Fréchet derivative. (English) Zbl 1013.65053 Adv. Nonlinear Var. Inequal. 3, No. 1, 37-45 (2000). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, Adv. Nonlinear Var. Inequal. 3, No. 1, 37--45 (2000; Zbl 1013.65053)