Ioannis K. Argyros

Sergio Amat, Ioannis K. Argyros, Sonia Busquier, R. Castro, Saïd Hilout, Sergio Plaza: On a bilinear operator free third order method on Riemannian manifolds. Applied Mathematics and Computation 219(14): 7429-7444 (2013)

Ioannis K. Argyros, Saïd Hilout: On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. J. Computational Applied Mathematics 245: 1-9 (2013)

Ioannis K. Argyros, Saïd Hilout: Directional Secant-Type Methods for Solving Equations. J. Optimization Theory and Applications 157(2): 462-485 (2013)

Ioannis K. Argyros, Saïd Hilout: Estimating upper bounds on the limit points of majorizing sequences for Newton's method. Numerical Algorithms 62(1): 115-132 (2013)

Hongmin Ren, Ioannis K. Argyros: Local convergence of efficient Secant-type methods for solving nonlinear equations. Applied Mathematics and Computation 218(14): 7655-7664 (2012)

Hongmin Ren, Ioannis K. Argyros: On the semi-local convergence of Halley's method under a center-Lipschitz condition on the second Fréchet derivative. Applied Mathematics and Computation 218(23): 11488-11495 (2012)

Ioannis K. Argyros, Saïd Hilout: On the semilocal convergence of damped Newton's method. Applied Mathematics and Computation 219(5): 2808-2824 (2012)

Ioannis K. Argyros, Saïd Hilout: New conditions for the convergence of Newton-like methods and applications. Applied Mathematics and Computation 219(6): 3279-3289 (2012)

Ioannis K. Argyros, Saïd Hilout: Weaker conditions for the convergence of Newton's method. J. Complexity 28(3): 364-387 (2012)

Ioannis K. Argyros, Saïd Hilout: Majorizing sequences for iterative procedures in Banach spaces. J. Complexity 28(5-6): 562-581 (2012)

Ioannis K. Argyros, Saïd Hilout: Improved local convergence of Newton's method under weak majorant condition. J. Computational Applied Mathematics 236(7): 1892-1902 (2012)

Ioannis K. Argyros, Saïd Hilout: Majorizing sequences for iterative methods. J. Computational Applied Mathematics 236(7): 1947-1960 (2012)

Hongmin Ren, Ioannis K. Argyros: Improved local analysis for a certain class of iterative methods with cubic convergence. Numerical Algorithms 59(4): 505-521 (2012)

Ioannis K. Argyros, Saïd Hilout: Secant-type methods and nondiscrete induction. Numerical Algorithms 61(3): 397-412 (2012)

Sanjay Kumar Khattri, Ioannis K. Argyros: Sixth order derivative free family of iterative methods. Applied Mathematics and Computation 217(12): 5500-5507 (2011)

Ioannis K. Argyros, Saïd Hilout: Convergence of Directional Methods under mild differentiability and applications. Applied Mathematics and Computation 217(21): 8731-8746 (2011)

Ioannis K. Argyros, Saïd Hilout: Weak convergence conditions for Inexact Newton-type methods. Applied Mathematics and Computation 218(6): 2800-2809 (2011)

Ioannis K. Argyros, Saïd Hilout: Extending the applicability of Secant methods and nondiscrete induction. Applied Mathematics and Computation 218(7): 3238-3246 (2011)

Yeol Je Cho, Ioannis K. Argyros, Saïd Hilout: Extended sufficient semilocal convergence for the Secant method. Computers & Mathematics with Applications 62(2): 599-610 (2011)

Ioannis K. Argyros, Saïd Hilout: A unifying theorem for Newton's method on spaces with a convergence structure. J. Complexity 27(1): 39-54 (2011)

Ioannis K. Argyros, Hongmin Ren: Kantorovich-type semilocal convergence analysis for inexact Newton methods. J. Computational Applied Mathematics 235(9): 2993-3005 (2011)

Ioannis K. Argyros, J. A. Ezquerro, J. M. Gutiérrez, M. A. Hernández, Saïd Hilout: On the semilocal convergence of efficient Chebyshev-Secant-type methods. J. Computational Applied Mathematics 235(10): 3195-3206 (2011)

Ioannis K. Argyros: A semilocal convergence analysis for directional Newton methods. Math. Comput. 80(273): 327-343 (2011)

Ioannis K. Argyros, Saïd Hilout: On the solution of systems of equations with constant rank derivatives. Numerical Algorithms 57(2): 235-253 (2011)

Ioannis K. Argyros, Saïd Hilout: Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Numerical Algorithms 58(1): 23-52 (2011)

Hongmin Ren, Ioannis K. Argyros, Saïd Hilout: A derivative free iterative method for solving least squares problems. Numerical Algorithms 58(4): 555-571 (2011)

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout: On the midpoint method for solving equations. Applied Mathematics and Computation 216(8): 2321-2332 (2010)

Hongmin Ren, Ioannis K. Argyros: Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. Applied Mathematics and Computation 217(2): 612-621 (2010)

Hongmin Ren, Ioannis K. Argyros: Local convergence of a secant type method for solving least squares problems. Applied Mathematics and Computation 217(8): 3816-3824 (2010)

Jinhai Chen, Ioannis K. Argyros: Improved results on estimating and extending the radius of an attraction ball. Appl. Math. Lett. 23(4): 404-408 (2010)

Yeol Je Cho, Ioannis K. Argyros, Narin Petrot: Approximation methods for common solutions of generalized equilibrium, systems of nonlinear variational inequalities and fixed point problems. Computers & Mathematics with Applications 60(8): 2292-2301 (2010)

Ioannis K. Argyros, Saïd Hilout: A unified approach for the convergence of certain numerical algorithms, using recurrent functions. Computing 90(3-4): 131-164 (2010)

Ioannis K. Argyros: On the convergence region of Newton's method under Hölder continuity conditions. Int. J. Comput. Math. 87(2): 317-326 (2010)

Ioannis K. Argyros: An improved convergence analysis for the Newton-Kantorovich method using recurrence relations. Int. J. Comput. Math. 87(3): 642-652 (2010)

Ioannis K. Argyros, Saïd Hilout: On the convergence of Newton-type methods using recurrent functions. Int. J. Comput. Math. 87(14): 3273-3296 (2010)

Ioannis K. Argyros, Saïd Hilout: Improved generalized differentiability conditions for Newton-like methods. J. Complexity 26(3): 316-333 (2010)

Ioannis K. Argyros, Saïd Hilout: Inexact Newton-type methods. J. Complexity 26(6): 577-590 (2010)

Jinhai Chen, Ioannis K. Argyros, Ravi P. Agarwal: Majorizing functions and two-point Newton-type methods. J. Computational Applied Mathematics 234(5): 1473-1484 (2010)

Ioannis K. Argyros, Saïd Hilout: Extending the Newton-Kantorovich hypothesis for solving equations. J. Computational Applied Mathematics 234(10): 2993-3006 (2010)

Hongmin Ren, Ioannis K. Argyros: On the local convergence of inexact Newton-type methods under residual control-type conditions. J. Computational Applied Mathematics 235(1): 218-228 (2010)

Ioannis K. Argyros: On a class of secant-like methods for solving nonlinear equations. Numerical Algorithms 54(4): 485-501 (2010)

Ioannis K. Argyros, Saïd Hilout: A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. Numerical Algorithms 55(4): 447-466 (2010)

Ioannis K. Argyros, Saïd Hilout: A convergence analysis for directional two-step Newton methods. Numerical Algorithms 55(4): 503-528 (2010)

Hongmin Ren, Ioannis K. Argyros: On convergence of the modified Newton's method under Hölder continuous Fréchet derivative. Applied Mathematics and Computation 213(2): 440-448 (2009)

Ioannis K. Argyros: On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two. Applied Mathematics and Computation 215(4): 1553-1560 (2009)

Ioannis K. Argyros, Jinhai Chen: On local convergence of a Newton-type method in Banach space. Int. J. Comput. Math. 86(8): 1366-1374 (2009)

Ioannis K. Argyros, Saïd Hilout: On the weakening of the convergence of Newton's method using recurrent functions. J. Complexity 25(6): 530-543 (2009)

Ioannis K. Argyros, Hongmin Ren: On the convergence of modified Newton methods for solving equations containing a non-differentiable term. J. Computational Applied Mathematics 231(2): 897-906 (2009)

Ioannis K. Argyros, Yeol Je Cho, Xiaolong Qin: On the implicit iterative process for strictly pseudo-contractive mappings in Banach spaces. J. Computational Applied Mathematics 233(2): 208-216 (2009)

Ioannis K. Argyros, Hongmin Ren: On an improved local convergence analysis for the Secant method. Numerical Algorithms 52(2): 257-271 (2009)

Ioannis K. Argyros: On Ulm's method using divided differences of order one. Numerical Algorithms 52(3): 295-320 (2009)

Livinus Ugochukwu Uko, Ioannis K. Argyros: Generalized equations, variational inequalities and a weak Kantorovich theorem. Numerical Algorithms 52(3): 321-333 (2009)

Ioannis K. Argyros, Saïd Hilout: On the convergence of Newton-type methods under mild differentiability conditions. Numerical Algorithms 52(4): 701-726 (2009)

Ioannis K. Argyros, Saïd Hilout: Local convergence of Newton-like methods for generalized equations. Applied Mathematics and Computation 197(2): 507-514 (2008)

Ioannis K. Argyros, Livinus Ugochukwu Uko: On the convergence of the midpoint method. Numerical Algorithms 47(2): 157-167 (2008)

Ioannis K. Argyros, Saïd Hilout: A Fréchet derivative-free cubically convergent method for set-valued maps. Numerical Algorithms 48(4): 361-371 (2008)

Ioannis K. Argyros: Improved convergence and complexity analysis of Newton's method for solving equations. Int. J. Comput. Math. 84(1): 67-73 (2007)

Ioannis K. Argyros: On a non-smooth version of Newton's method based on Hölderian assumption. Int. J. Comput. Math. 84(12): 1747-1756 (2007)

Ioannis K. Argyros: On a two-point Newton-like method of convergent order two. Int. J. Comput. Math. 82(2): 219-233 (2005)

Ioannis K. Argyros: A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points. Int. J. Comput. Math. 82(11): 1413-1428 (2005)

Ioannis K. Argyros: Improved convergence analysis for the Secant method based on a certain type of recurrence relations. Int. J. Comput. Math. 81(5): 629-637 (2004)

Ioannis K. Argyros: On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions. Int. J. Comput. Math. 80(6): 767-780 (2003)

Ioannis K. Argyros: Forcing sequences and inexact Newton iterates in Banach space. Appl. Math. Lett. 13(1): 77-80 (2000)

Ioannis K. Argyros: On the convergence of two-step methods generated by point-to-point operators. Applied Mathematics and Computation 102(2-3): 165-176 (1999)

Ioannis K. Argyros: On Newton's method under mild differentiability conditions and applications. Applied Mathematics and Computation 102(2-3): 177-183 (1999)

Ioannis K. Argyros: Convergence rates for inexact Newton-like methods at singular points and applications. Applied Mathematics and Computation 102(2-3): 185-201 (1999)

Ioannis K. Argyros: Results on Newton methods. Part 1: A unified approach for constructing perturbed Newton-like methods in Banach space and their applications. Applied Mathematics and Computation 102(2-3): 203-222 (1999)

Ioannis K. Argyros: Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces. Applied Mathematics and Computation 102(2-3): 223-236 (1999)

Ioannis K. Argyros: Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space. Computing 63(2): 131-144 (1999)

Ioannis K. Argyros: Relations between forcing sequences and inexact newton-like iterates in banach spaceInexact newton-like iterates in banach space. Int. J. Comput. Math. 71(2): 235-246 (1999)