Argyros, Ioannis K.; George, Santhosh Kantorovich-like convergence theorems for Newton’s method using restricted convergence domains. (English) Zbl 1482.49030 Numer. Funct. Anal. Optim. 40, No. 3, 303-318 (2019). MSC: 49M15 49J53 65G99 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. George}, Numer. Funct. Anal. Optim. 40, No. 3, 303--318 (2019; Zbl 1482.49030) Full Text: DOI
Ren, Hongmin; Argyros, Ioannis K.; Cho, Yeol Je Semilocal convergence of Steffensen-type algorithms for solving nonlinear equations. (English) Zbl 1320.65084 Numer. Funct. Anal. Optim. 35, No. 11, 1476-1499 (2014). Reviewer: Vasilis Dimitriou (Chania) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{H. Ren} et al., Numer. Funct. Anal. Optim. 35, No. 11, 1476--1499 (2014; Zbl 1320.65084) Full Text: DOI
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd On the convergence of Broyden-like methods using recurrent functions. (English) Zbl 1222.65050 Numer. Funct. Anal. Optim. 32, No. 1, 26-40 (2011). Reviewer: Vasilis Dimitriou (Chania) MSC: 65H10 PDFBibTeX XMLCite \textit{I. K. Argyros} et al., Numer. Funct. Anal. Optim. 32, No. 1, 26--40 (2011; Zbl 1222.65050) Full Text: DOI
Argyros, Ioannis K.; Hilout, Saïd A convergence analysis of Newton-like method for singular equations using recurrent functions. (English) Zbl 1197.65056 Numer. Funct. Anal. Optim. 31, No. 2, 112-130 (2010). Reviewer: Peter Zabreiko (Minsk) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, Numer. Funct. Anal. Optim. 31, No. 2, 112--130 (2010; Zbl 1197.65056) Full Text: DOI
Argyros, Ioannis K. An improved convergence analysis and applications for Newton-like methods in Banach space. (English) Zbl 1040.47045 Numer. Funct. Anal. Optimization 24, No. 7-8, 653-672 (2003). MSC: 47J25 65J15 90C55 PDFBibTeX XMLCite \textit{I. K. Argyros}, Numer. Funct. Anal. Optim. 24, No. 7--8, 653--672 (2003; Zbl 1040.47045) Full Text: DOI