Local convergence of Newton-like methods for generalized equations. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2008)

A Fréchet derivative-free cubically convergent method for set-valued maps. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2008)

On the weakening of the convergence of Newton's method using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2009)

On the convergence of Newton-type methods under mild differentiability conditions. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2009)

On the midpoint method for solving equations. - Ioannis K. Argyros; Yeol Je Cho; Saïd Hilout (Appl. Math. Comput., 2010)

A unified approach for the convergence of certain numerical algorithms, using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (Computing, 2010)

On the convergence of Newton-type methods using recurrent functions. - Ioannis K. Argyros; Saïd Hilout (Int. J. Comput. Math., 2010)

Improved generalized differentiability conditions for Newton-like methods. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2010)

Inexact Newton-type methods. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2010)

Extending the Newton-Kantorovich hypothesis for solving equations. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2010)

A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2010)

A convergence analysis for directional two-step Newton methods. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2010)

Convergence of Directional Methods under mild differentiability and applications. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Weak convergence conditions for Inexact Newton-type methods. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Extending the applicability of Secant methods and nondiscrete induction. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2011)

Extended sufficient semilocal convergence for the Secant method. - Yeol Je Cho; Ioannis K. Argyros; Saïd Hilout (Comput. Math. Appl., 2011)

A unifying theorem for Newton's method on spaces with a convergence structure. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2011)

On the semilocal convergence of efficient Chebyshev-Secant-type methods. - Ioannis K. Argyros; J. A. Ezquerro; José Manuel Gutiérrez Jiménez; Miguel Ángel Hernández-Verón; Saïd Hilout (J. Comput. Appl. Math., 2011)

On the solution of systems of equations with constant rank derivatives. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

A derivative free iterative method for solving least squares problems. - Hongmin Ren; Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2011)

On the semilocal convergence of damped Newton's method. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2012)

New conditions for the convergence of Newton-like methods and applications. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2012)

Weaker conditions for the convergence of Newton's method. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2012)

Majorizing sequences for iterative procedures in Banach spaces. - Ioannis K. Argyros; Saïd Hilout (J. Complex., 2012)

Improved local convergence of Newton's method under weak majorant condition. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2012)

Majorizing sequences for iterative methods. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2012)

Secant-type methods and nondiscrete induction. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2012)

On a bilinear operator free third order method on Riemannian manifolds. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2013)

Extending the applicability of Newton's method on Lie groups. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2013)

On an improved convergence analysis of Newton's method. - Ioannis K. Argyros; Saïd Hilout (Appl. Math. Comput., 2013)

Expanding the applicability of Inexact Newton Methods under Smale's (α, γ)-theory. - Ioannis K. Argyros; Sanjay Kumar Khattri; Saïd Hilout (Appl. Math. Comput., 2013)

On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2013)

Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. - Ioannis K. Argyros; Saïd Hilout (J. Frankl. Inst., 2013)

Directional Secant-Type Methods for Solving Equations. - Ioannis K. Argyros; Saïd Hilout (J. Optim. Theory Appl., 2013)

Estimating upper bounds on the limit points of majorizing sequences for Newton's method. - Ioannis K. Argyros; Saïd Hilout (Numer. Algorithms, 2013)

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Rodrigo A. Castro; Saïd Hilout; Sergio Plaza (Appl. Math. Comput., 2014)

Robust semi-local convergence analysis for inexact Newton method. - Ioannis K. Argyros; Saïd Hilout; Ángel Alberto Magreñán (Appl. Math. Comput., 2014)

Weaker convergence for Newton's method under Hölder differentiability. - Ioannis K. Argyros; Saïd Hilout (Int. J. Comput. Math., 2014)

Expanding the applicability of Newton's method using Smale's α-theory. - Ioannis K. Argyros; Saïd Hilout; Sanjay Kumar Khattri (J. Comput. Appl. Math., 2014)

Expanding the Applicability of High-Order Traub-Type Iterative Procedures. - Sergio Amat; Ioannis K. Argyros; Sonia Busquier; Saïd Hilout (J. Optim. Theory Appl., 2014)

Directional Chebyshev-type methods for solving equations. - Ioannis K. Argyros; Miguel Ángel Hernández-Verón; Saïd Hilout; Natalia Romero Álvarez (Math. Comput., 2015)

The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. - Ioannis K. Argyros; Saïd Hilout (J. Comput. Appl. Math., 2016)