| Hits ?▲ |
Authors |
Title |
Venue |
Year |
Link |
Author keywords |
| 1 | Ioannis K. Argyros, Saïd Hilout |
Weaker conditions for the convergence of Newton's method.  |
J. Complexity  |
2012 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Majorizing sequences for iterative methods. |
J. Computational Applied Mathematics |
2012 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Improved local convergence of Newton's method under weak majorant condition. |
J. Computational Applied Mathematics |
2012 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros |
Improved local analysis for a certain class of iterative methods with cubic convergence. |
Numerical Algorithms |
2012 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros |
Local convergence of efficient Secant-type methods for solving nonlinear equations. |
Applied Mathematics and Computation |
2012 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
A unifying theorem for Newton's method on spaces with a convergence structure. |
J. Complexity |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | 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 |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Hongmin Ren |
Kantorovich-type semilocal convergence analysis for inexact Newton methods. |
J. Computational Applied Mathematics |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
On the solution of systems of equations with constant rank derivatives. |
Numerical Algorithms |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. |
Numerical Algorithms |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros, Saïd Hilout |
A derivative free iterative method for solving least squares problems. |
Numerical Algorithms |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Yeol Je Cho, Ioannis K. Argyros, Saïd Hilout |
Extended sufficient semilocal convergence for the Secant method. |
Computers & Mathematics with Applications |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Convergence of Directional Methods under mild differentiability and applications. |
Applied Mathematics and Computation |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Extending the applicability of Secant methods and nondiscrete induction. |
Applied Mathematics and Computation |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Weak convergence conditions for Inexact Newton-type methods. |
Applied Mathematics and Computation |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Sanjay K. Khattri, Ioannis K. Argyros |
Sixth order derivative free family of iterative methods. |
Applied Mathematics and Computation |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
A semilocal convergence analysis for directional Newton methods. |
Math. Comput. |
2011 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Improved generalized differentiability conditions for Newton-like methods. |
J. Complexity |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Inexact Newton-type methods. |
J. Complexity |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
A unified approach for the convergence of certain numerical algorithms, using recurrent functions. |
Computing |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Jinhai Chen, Ioannis K. Argyros |
Improved results on estimating and extending the radius of an attraction ball. |
Appl. Math. Lett. |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
Extending the Newton-Kantorovich hypothesis for solving equations. |
J. Computational Applied Mathematics |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Jinhai Chen, Ioannis K. Argyros, Ravi P. Agarwal |
Majorizing functions and two-point Newton-type methods. |
J. Computational Applied Mathematics |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros |
On the local convergence of inexact Newton-type methods under residual control-type conditions. |
J. Computational Applied Mathematics |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. |
Numerical Algorithms |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On a class of secant-like methods for solving nonlinear equations. |
Numerical Algorithms |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
A convergence analysis for directional two-step Newton methods. |
Numerical Algorithms |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | 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 |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros |
Convergence radius of the modified Newton method for multiple zeros under Hölder continuous derivative. |
Applied Mathematics and Computation |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Hongmin Ren, Ioannis K. Argyros |
Local convergence of a secant type method for solving least squares problems. |
Applied Mathematics and Computation |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout |
On the midpoint method for solving equations. |
Applied Mathematics and Computation |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
On the convergence of Newton-type methods using recurrent functions. |
Int. J. Comput. Math. |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On the convergence region of Newton's method under Hölder continuity conditions. |
Int. J. Comput. Math. |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
An improved convergence analysis for the Newton-Kantorovich method using recurrence relations. |
Int. J. Comput. Math. |
2010 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Saïd Hilout |
On the weakening of the convergence of Newton's method using recurrent functions. |
J. Complexity |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Hongmin Ren |
On the convergence of modified Newton methods for solving equations containing a non-differentiable term. |
J. Computational Applied Mathematics |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | 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 |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Hongmin Ren |
On an improved local convergence analysis for the Secant method. |
Numerical Algorithms |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65H10, 49M15, 47H17, 65G99 |
| 1 | Livinus Ugochukwu Uko, Ioannis K. Argyros |
Generalized equations, variational inequalities and a weak Kantorovich theorem. |
Numerical Algorithms |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65K10, 65J99, 47J20, 47H04, 90C30, 90C33, 49J53, 49M15 |
| 1 | Ioannis K. Argyros |
On Ulm's method using divided differences of order one. |
Numerical Algorithms |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65G99, 49M15, 65H10, 47H17 |
| 1 | Ioannis K. Argyros, Saïd Hilout |
On the convergence of Newton-type methods under mild differentiability conditions. |
Numerical Algorithms |
2009 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65H10, 65J15, 49M15, 47H17, 65G99 |
| 1 | Hongmin Ren, Ioannis K. Argyros |
On convergence of the modified Newton's method under Hölder continuous Fréchet derivative. |
Applied Mathematics and Computation |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On Newton's method for solving equations containing Fréchet-differentiable operators of order at least two. |
Applied Mathematics and Computation |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Jinhai Chen |
On local convergence of a Newton-type method in Banach space. |
Int. J. Comput. Math. |
2009 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros, Livinus Ugochukwu Uko |
On the convergence of the midpoint method. |
Numerical Algorithms |
2008 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65G99, 65K10, 49M15, 47H17 |
| 1 | Ioannis K. Argyros, Saïd Hilout |
A Fréchet derivative-free cubically convergent method for set-valued maps. |
Numerical Algorithms |
2008 |
DBLP DOI BibTeX RDF |
Mathematics Subject Classifications (2000) 65K10, 47H04, 49M15, 65H10, 47H17, 65G99, 65B05 |
| 1 | Ioannis K. Argyros, Saïd Hilout |
Local convergence of Newton-like methods for generalized equations. |
Applied Mathematics and Computation |
2008 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On a non-smooth version of Newton's method based on Hölderian assumption |
Int. J. Comput. Math. |
2007 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Improved convergence and complexity analysis of Newton's method for solving equations. |
Int. J. Comput. Math. |
2007 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On a two-point Newton-like method of convergent order two. |
Int. J. Comput. Math. |
2005 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
A new iterative method of asymptotic order 1+sqrt(2) for the computation of fixed points. |
Int. J. Comput. Math. |
2005 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Improved convergence analysis for the Secant method based on a certain type of recurrence relations. |
Int. J. Comput. Math. |
2004 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On the Convergence and Application of Newton's Method under Weak Hölder Continuity Assumptions. |
Int. J. Comput. Math. |
2003 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Forcing sequences and inexact Newton iterates in Banach space. |
Appl. Math. Lett. |
2000 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Relations Between Forcing Sequences and Inexact Newton Iterates in Banach Space. |
Computing |
1999 |
DBLP DOI BibTeX RDF |
AMS Subject Classifications: 65B05, 49D15, 47H17 |
| 1 | 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 |
1999 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On the convergence of two-step methods generated by point-to-point operators. |
Applied Mathematics and Computation |
1999 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Convergence rates for inexact Newton-like methods at singular points and applications. |
Applied Mathematics and Computation |
1999 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
On Newton's method under mild differentiability conditions and applications. |
Applied Mathematics and Computation |
1999 |
DBLP DOI BibTeX RDF |
|
| 1 | Ioannis K. Argyros |
Results on Newton methods. Part II: Perturbed Newton-like methods in generalized Banach spaces. |
Applied Mathematics and Computation |
1999 |
DBLP DOI BibTeX RDF |
|
| 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. |
1999 |
DBLP DOI BibTeX RDF |
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