 | 2012 |
|---|
| 61 |       | 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) |
| 60 | | Ioannis K. Argyros,
Saïd Hilout:
Weaker conditions for the convergence of Newton's method.
J. Complexity 28(3): 364-387 (2012) |
| 59 | | 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) |
| 58 | | Ioannis K. Argyros,
Saïd Hilout:
Majorizing sequences for iterative methods.
J. Computational Applied Mathematics 236(7): 1947-1960 (2012) |
| 57 | | 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) |
| 2011 |
|---|
| 56 | | Sanjay K. Khattri,
Ioannis K. Argyros:
Sixth order derivative free family of iterative methods.
Applied Mathematics and Computation 217(12): 5500-5507 (2011) |
| 55 | | Ioannis K. Argyros,
Saïd Hilout:
Convergence of Directional Methods under mild differentiability and applications.
Applied Mathematics and Computation 217(21): 8731-8746 (2011) |
| 54 | | Ioannis K. Argyros,
Saïd Hilout:
Weak convergence conditions for Inexact Newton-type methods.
Applied Mathematics and Computation 218(6): 2800-2809 (2011) |
| 53 | | Ioannis K. Argyros,
Saïd Hilout:
Extending the applicability of Secant methods and nondiscrete induction.
Applied Mathematics and Computation 218(7): 3238-3246 (2011) |
| 52 | | 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) |
| 51 | | 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) |
| 50 | | 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) |
| 49 | | Ioannis K. Argyros,
Hongmin Ren:
Kantorovich-type semilocal convergence analysis for inexact Newton methods.
J. Computational Applied Mathematics 235(9): 2993-3005 (2011) |
| 48 | | Ioannis K. Argyros:
A semilocal convergence analysis for directional Newton methods.
Math. Comput. 80(273): 327-343 (2011) |
| 47 | | Ioannis K. Argyros,
Saïd Hilout:
On the solution of systems of equations with constant rank derivatives.
Numerical Algorithms 57(2): 235-253 (2011) |
| 46 | | 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) |
| 45 | | Hongmin Ren,
Ioannis K. Argyros,
Saïd Hilout:
A derivative free iterative method for solving least squares problems.
Numerical Algorithms 58(4): 555-571 (2011) |
| 2010 |
|---|
| 44 | | 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) |
| 43 | | Ioannis K. Argyros,
Yeol Je Cho,
Saïd Hilout:
On the midpoint method for solving equations.
Applied Mathematics and Computation 216(8): 2321-2332 (2010) |
| 42 | | 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) |
| 41 | | 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) |
| 40 | | 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) |
| 39 | | 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) |
| 38 | | Ioannis K. Argyros,
Saïd Hilout:
On the convergence of Newton-type methods using recurrent functions.
Int. J. Comput. Math. 87(14): 3273-3296 (2010) |
| 37 | | Ioannis K. Argyros:
On the convergence region of Newton's method under Hölder continuity conditions.
Int. J. Comput. Math. 87(2): 317-326 (2010) |
| 36 | | Ioannis K. Argyros:
An improved convergence analysis for the Newton-Kantorovich method using recurrence relations.
Int. J. Comput. Math. 87(3): 642-652 (2010) |
| 35 | | Ioannis K. Argyros,
Saïd Hilout:
Improved generalized differentiability conditions for Newton-like methods.
J. Complexity 26(3): 316-333 (2010) |
| 34 | | Ioannis K. Argyros,
Saïd Hilout:
Inexact Newton-type methods.
J. Complexity 26(6): 577-590 (2010) |
| 33 | | Ioannis K. Argyros,
Saïd Hilout:
Extending the Newton-Kantorovich hypothesis for solving equations.
J. Computational Applied Mathematics 234(10): 2993-3006 (2010) |
| 32 | | 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) |
| 31 | | 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) |
| 30 | | Ioannis K. Argyros:
On a class of secant-like methods for solving nonlinear equations.
Numerical Algorithms 54(4): 485-501 (2010) |
| 29 | | 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) |
| 28 | | Ioannis K. Argyros,
Saïd Hilout:
A convergence analysis for directional two-step Newton methods.
Numerical Algorithms 55(4): 503-528 (2010) |
| 2009 |
|---|
| 27 | | 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) |
| 26 | | 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) |
| 25 | | 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) |
| 24 | | 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) |
| 23 | | 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) |
| 22 | | 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) |
| 21 | | Ioannis K. Argyros,
Hongmin Ren:
On an improved local convergence analysis for the Secant method.
Numerical Algorithms 52(2): 257-271 (2009) |
| 20 | | Ioannis K. Argyros:
On Ulm's method using divided differences of order one.
Numerical Algorithms 52(3): 295-320 (2009) |
| 19 | | Livinus Ugochukwu Uko,
Ioannis K. Argyros:
Generalized equations, variational inequalities and a weak Kantorovich theorem.
Numerical Algorithms 52(3): 321-333 (2009) |
| 18 | | Ioannis K. Argyros,
Saïd Hilout:
On the convergence of Newton-type methods under mild differentiability conditions.
Numerical Algorithms 52(4): 701-726 (2009) |
| 2008 |
|---|
| 17 | | Ioannis K. Argyros,
Saïd Hilout:
Local convergence of Newton-like methods for generalized equations.
Applied Mathematics and Computation 197(2): 507-514 (2008) |
| 16 | | Ioannis K. Argyros,
Livinus Ugochukwu Uko:
On the convergence of the midpoint method.
Numerical Algorithms 47(2): 157-167 (2008) |
| 15 | | Ioannis K. Argyros,
Saïd Hilout:
A Fréchet derivative-free cubically convergent method for set-valued maps.
Numerical Algorithms 48(4): 361-371 (2008) |
| 2007 |
|---|
| 14 | | Ioannis K. Argyros:
Improved convergence and complexity analysis of Newton's method for solving equations.
Int. J. Comput. Math. 84(1): 67-73 (2007) |
| 13 | | 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) |
| 2005 |
|---|
| 12 | | 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) |
| 11 | | Ioannis K. Argyros:
On a two-point Newton-like method of convergent order two.
Int. J. Comput. Math. 82(2): 219-233 (2005) |
| 2004 |
|---|
| 10 | | 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) |
| 2003 |
|---|
| 9 | | 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) |
| 2000 |
|---|
| 8 | | Ioannis K. Argyros:
Forcing sequences and inexact Newton iterates in Banach space.
Appl. Math. Lett. 13(1): 77-80 (2000) |
| 1999 |
|---|
| 7 | | 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) |
| 6 | | Ioannis K. Argyros:
On Newton's method under mild differentiability conditions and applications.
Applied Mathematics and Computation 102(2-3): 177-183 (1999) |
| 5 | | 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) |
| 4 | | 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) |
| 3 | | 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) |
| 2 | | Ioannis K. Argyros:
Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space.
Computing 63(2): 131-144 (1999) |
| 1 | | 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) |
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