Adly, Samir; Ngai, Huynh Van; Vu, Nguyen Van Newton-type method for solving generalized equations on Riemannian manifolds. (English) Zbl 1408.49021 J. Convex Anal. 25, No. 2, 341-370 (2018). Reviewer: Yekini Shehu (Nsukka) MSC: 49M15 49J53 58J60 58C06 58C15 PDFBibTeX XMLCite \textit{S. Adly} et al., J. Convex Anal. 25, No. 2, 341--370 (2018; Zbl 1408.49021) Full Text: Link
Argyros, Ioannis K.; Hilout, Saïd Newton’s method for approximating zeros of vector fields on Riemannian manifolds. (English) Zbl 1176.65061 J. Appl. Math. Comput. 29, No. 1-2, 417-427 (2009). MSC: 65H10 65G99 49M15 PDFBibTeX XMLCite \textit{I. K. Argyros} and \textit{S. Hilout}, J. Appl. Math. Comput. 29, No. 1--2, 417--427 (2009; Zbl 1176.65061) Full Text: DOI
Argyros, Ioannis K. A Kantorovich analysis of Newton methods on Lie groups. (English) Zbl 1151.65049 J. Concr. Appl. Math. 6, No. 1, 21-32 (2008). MSC: 65J15 22E30 47J25 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Concr. Appl. Math. 6, No. 1, 21--32 (2008; Zbl 1151.65049)
Li, Chong; Wang, Jinhua Newton’s method for sections on Riemannian manifolds: Generalized covariant \(\alpha \)-theory. (English) Zbl 1153.65059 J. Complexity 24, No. 3, 423-451 (2008). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65J15 PDFBibTeX XMLCite \textit{C. Li} and \textit{J. Wang}, J. Complexity 24, No. 3, 423--451 (2008; Zbl 1153.65059) Full Text: DOI
Argyros, Ioannis K. An improved unifying convergence analysis of Newton’s method in Riemannian manifolds. (English) Zbl 1136.65055 J. Appl. Math. Comput. 25, No. 1-2, 345-351 (2007). MSC: 65J15 58K45 PDFBibTeX XMLCite \textit{I. K. Argyros}, J. Appl. Math. Comput. 25, No. 1--2, 345--351 (2007; Zbl 1136.65055) Full Text: DOI