Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hernández-Verón, Miguel A.; Magreñán, Á. Alberto; Martínez, Eulalia A multistep Steffensen-type method for solving nonlinear systems of equations. (English) Zbl 1448.65050 Math. Methods Appl. Sci. 43, No. 13, 7518-7536 (2020). MSC: 65H10 65D10 PDFBibTeX XMLCite \textit{S. Amat} et al., Math. Methods Appl. Sci. 43, No. 13, 7518--7536 (2020; Zbl 1448.65050) Full Text: DOI
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A.; Yañez, D. F. On the local and semilocal convergence of a parameterized multi-step Newton method. (English) Zbl 1437.65040 J. Comput. Appl. Math. 376, Article ID 112843, 13 p. (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 65H05 65H10 65H20 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Appl. Math. 376, Article ID 112843, 13 p. (2020; Zbl 1437.65040) Full Text: DOI
Amat, S.; Argyros, I. K.; Busquier, S.; Hernández-Verón, M. A.; Martínez, E. On the local convergence study for an efficient \(k\)-step iterative method. (English) Zbl 1503.65115 J. Comput. Appl. Math. 343, 753-761 (2018). MSC: 65J15 47H20 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Comput. Appl. Math. 343, 753--761 (2018; Zbl 1503.65115) Full Text: DOI Link
Amat, S.; Argyros, I.; Busquier, S.; Hernández-Verón, M. A. On two high-order families of frozen Newton-type methods. (English) Zbl 1424.65072 Numer. Linear Algebra Appl. 25, No. 1, e2126, 13 p. (2018). Reviewer: Hang Lau (Montréal) MSC: 65J15 PDFBibTeX XMLCite \textit{S. Amat} et al., Numer. Linear Algebra Appl. 25, No. 1, e2126, 13 p. (2018; Zbl 1424.65072) Full Text: DOI
Amat, S.; Argyros, Ioannis K.; Busquier, S.; Magreñán, Á. Alberto Local convergence and the dynamics of a two-point four parameter Jarratt-like method under weak conditions. (English) Zbl 1359.65084 Numer. Algorithms 74, No. 2, 371-391 (2017). Reviewer: Anton Iliev (Plovdiv) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., Numer. Algorithms 74, No. 2, 371--391 (2017; Zbl 1359.65084) Full Text: DOI
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. (English) Zbl 1364.65113 Appl. Math. Comput. 227, 762-787 (2014). MSC: 65J15 PDFBibTeX XMLCite \textit{S. Amat} et al., Appl. Math. Comput. 227, 762--787 (2014; Zbl 1364.65113) Full Text: DOI
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. Traub-type high order iterative procedures on Riemannian manifolds. (English) Zbl 1317.47061 S\(\vec{\text{e}}\)MA J. 63, No. 1, 27-52 (2014). Reviewer: Dumitru Motreanu (Perpignan) MSC: 47J25 58J60 PDFBibTeX XMLCite \textit{S. Amat} et al., S\(\vec{\text{e}}\)MA J. 63, No. 1, 27--52 (2014; Zbl 1317.47061) Full Text: DOI
Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd Expanding the applicability of high-order Traub-type iterative procedures. (English) Zbl 1308.65082 J. Optim. Theory Appl. 161, No. 3, 837-852 (2014). Reviewer: Vasile Postolică (Piatra Neamt) MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., J. Optim. Theory Appl. 161, No. 3, 837--852 (2014; Zbl 1308.65082) Full Text: DOI
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S. On a bilinear operator free third order method on Riemannian manifolds. (English) Zbl 1296.65079 Appl. Math. Comput. 219, No. 14, 7429-7444 (2013). MSC: 65J15 47J25 PDFBibTeX XMLCite \textit{S. Amat} et al., Appl. Math. Comput. 219, No. 14, 7429--7444 (2013; Zbl 1296.65079) Full Text: DOI Link