## Hilout, Saïd

Compute Distance To:
 Author ID: hilout.said Published as: Hilout, Saïd; Hilout, S.; Hilout, Said; Hilout, Saäid; Hitlout, Saïd; Hilouj, Said; Hilout, Saï more...less Homepage: http://www-math.univ-poitiers.fr/~hilout/ External Links: MGP · dblp
 Documents Indexed: 155 Publications since 1998, including 2 Books Co-Authors: 25 Co-Authors with 147 Joint Publications 676 Co-Co-Authors
all top 5

### Co-Authors

 8 single-authored 135 Argyros, Ioannis Konstantinos 9 Cho, Yeol Je 8 Boutat, Mohammed 4 Amat, Sergio P. 4 Busquier, Sonia 4 Ezquerro, José Antonio 4 Hernández, Miguel Ángel 3 D’Angelo, Yves 3 Khattri, Sanjay K. 3 Lods, Véronique 3 Piétrus, Alain 3 Plaza, Sergio 2 Geoffroy, Michel H. 2 Grilhé, Jean 2 Gutiérrez, José Manuel 2 Magreñán, Ángel Alberto 2 Rakotoson, Jean-Émile 2 Rakotoson, Jean-Michel 2 Romero, Natalia 1 Alriyabi, Ali 1 Arliyabi, Ali 1 Hernández-Verón, Miguel Ángel 1 Laadnani, Idriss 1 Ren, Hongmin 1 Vela, A. I.
all top 5

### Serials

 13 Applied Mathematics and Computation 9 Numerical Algorithms 8 Panamerican Mathematical Journal 8 Journal of Applied Mathematics and Computing 7 Journal of Computational and Applied Mathematics 6 Journal of Complexity 6 Applicationes Mathematicae 5 Journal of Mathematics. The Punjab University 5 Advances in Nonlinear Variational Inequalities 5 Journal of the Korean Society of Mathematical Education. Series B. The Pure and Applied Mathematics 5 Nonlinear Functional Analysis and Applications 4 Mathematica 4 Communications on Applied Nonlinear Analysis 3 Revue d’Analyse Numérique et de Théorie de l’Approximation 3 Cubo 3 Proyecciones 3 East Asian Mathematical Journal 3 Journal of Nonlinear Science and Applications 2 Czechoslovak Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Applied Mathematics Letters 2 International Journal of Computer Mathematics 2 Serdica Mathematical Journal 2 Positivity 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of Pure and Applied Mathematics: Advances and Applications 2 Journal of Nonlinear Analysis and Optimization: Theory & Applications 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Computing 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematica Slovaca 1 Asymptotic Analysis 1 Mathematica Bohemica 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 Set-Valued Analysis 1 Applied Mathematics. Series B (English Edition) 1 Electronic Journal of Differential Equations (EJDE) 1 Methods and Applications of Analysis 1 Mathematical Problems in Engineering 1 Taiwanese Journal of Mathematics 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 EAMJ. East Asian Mathematical Journal 1 International Journal of Pure and Applied Mathematics 1 Milan Journal of Mathematics 1 Fixed Point Theory and Applications 1 The Australian Journal of Mathematical Analysis and Applications 1 Carpathian Journal of Mathematics 1 Atti del Seminario Matematico e Fisico dell’ Università di Modena e Reggio Emilia 1 Surveys in Mathematics and its Applications 1 International Journal of Modern Mathematics 1 Numerical Mathematics: Theory, Methods and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Numerical Analysis and Approximation Theory
all top 5

### Fields

 139 Numerical analysis (65-XX) 106 Operator theory (47-XX) 35 Calculus of variations and optimal control; optimization (49-XX) 14 Integral equations (45-XX) 11 Ordinary differential equations (34-XX) 7 Partial differential equations (35-XX) 5 Mechanics of deformable solids (74-XX) 5 Operations research, mathematical programming (90-XX) 3 Fluid mechanics (76-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 Field theory and polynomials (12-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)

### Citations contained in zbMATH Open

85 Publications have been cited 638 times in 368 Documents Cited by Year
Weaker conditions for the convergence of Newton’s method. Zbl 1245.65058
Argyros, Ioannis K.; Hilout, Saïd
2012
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. Zbl 1262.65061
Argyros, I. K.; Hilout, S.
2013
Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications. Zbl 1279.65062
Argyros, Ioannis K.; Hilout, Saïd
2013
Numerical methods for equations and its applications. Zbl 1254.65068
Argyros, Ioannis K.; Cho, Yeaol Je; Hilout, Saïd
2012
On the semilocal convergence of efficient Chebyshev-secant-type methods. Zbl 1215.65102
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
2011
Enclosing roots of polynomial equations and their applications to iterative processes. Zbl 1205.26023
Argyros, I. K.; Hilout, S.
2009
Extending the Newton-Kantorovich hypothesis for solving equations. Zbl 1195.65075
Argyros, Ioannis K.; Hilout, Saïd
2010
Improved local convergence of Newton’s method under weak majorant condition. Zbl 1427.65089
Argyros, Ioannis K.; Hilout, Saïd
2012
A convergence analysis for directional two-step Newton methods. Zbl 1204.65049
Argyros, Ioannis K.; Hilout, Saïd
2010
Improved generalized differentiability conditions for Newton-like methods. Zbl 1196.65100
Argyros, Ioannis K.; Hilout, Saïd
2010
Newton’s method for approximating zeros of vector fields on Riemannian manifolds. Zbl 1176.65061
Argyros, Ioannis K.; Hilout, Saïd
2009
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Zbl 1228.65076
Argyros, Ioannis K.; Hilout, Saïd
2011
Acceleration of convergence in Donchev’s iterative method for solving variational inclusions. Zbl 1031.47040
Geoffroy, M.; Hilout, S.; Pietrus, A.
2003
A generalized thin-film equation in multidimensional space. Zbl 1157.35395
Boutat, M.; Hilout, S.; Rakotoson, J.-E.; Rakotoson, J.-M.
2008
Stability of a cubically convergent method for generalized equations. Zbl 1100.49020
Geoffroy, Michel H.; Hilout, Saïd; Piétrus, Alain
2006
On an improved convergence analysis of Newton’s method. Zbl 1336.65098
Argyros, Ioannis K.; Hilout, Saïd
2013
Majorizing sequences for iterative methods. Zbl 1427.65090
Argyros, Ioannis K.; Hilout, Saïd
2012
Convergence conditions for secant-type methods. Zbl 1224.65141
Argyros, Ioannis K.; Hilout, Saïd
2010
On the semilocal convergence of the Halley method using recurrent functions. Zbl 1291.65156
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2011
Newton-Kantorovich approximations under weak continuity conditions. Zbl 1291.65166
Argyros, Ioannis K.; Hilout, Saïd
2011
On the convergence of Newton-type methods under mild differentiability conditions. Zbl 1190.65091
Argyros, Ioannis K.; Hilout, Saïd
2009
On the weakening of the convergence of Newton’s method using recurrent functions. Zbl 1259.65079
Argyros, Ioannis K.; Hilout, Saïd
2009
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method. Zbl 1259.65080
Argyros, Ioannis K.; Hilout, Saïd
2013
Expanding the applicability of Newton’s method using Smale’s $$\alpha$$-theory. Zbl 1291.65167
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K.
2014
Local convergence of Newton-like methods for generalized equations. Zbl 1152.65061
Argyros, Ioannis K.; Hilout, Saïd
2008
Inexact Newton methods and recurrent functions. Zbl 1189.65108
Argyros, Ioannis K.; Hilout, Saïd
2010
Extending the applicability of Newton’s method on Lie groups. Zbl 1293.65084
Argyros, Ioannis K.; Hilout, Saïd
2013
Convergence analysis of a family of Steffensen-type methods for generalized equations. Zbl 1136.65057
Hilout, Saïd
2008
A semilocal convergence of a secant-type method for solving generalized equations. Zbl 1118.47052
Hilout, Said; Piétrus, Alain
2006
On the convergence of two-step Newton-type methods of high efficiency index. Zbl 1181.65079
Argyros, Ioannis K.; Hilout, Saïd
2009
Inexact Newton-type methods. Zbl 1225.65058
Argyros, Ioannis K.; Hilout, Saïd
2010
Existence and finite-time blow-up for the solution to a thin-film surface evolution problem. Zbl 1154.74343
Boutat, M.; D’Angelo, Y.; Hilout, S.; Lods, V.
2004
Chebyshev-secant-type methods for non-differentiable operators. Zbl 1282.47073
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
2013
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2014
On the midpoint method for solving equations. Zbl 1198.65095
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2010
On the semilocal convergence of Werner’s method for solving equations using recurrent functions. Zbl 1291.65157
Argyros, Ioannis K.; Hilout, Saïd
2011
On the solution of systems of equations with constant rank derivatives. Zbl 1218.65044
Argyros, Ioannis K.; Hilout, Saïd
2011
On the semilocal convergence of a Newton-type method of order three. Zbl 1193.65084
Argyros, Ioannis K.; Hilout, Saïd
2010
On the convergence of inexact Newton-type methods using recurrent functions. Zbl 1180.65066
Argyros, Ioannis K.; Hilout, Saïd
2009
Local convergence analysis of inexact Newton-like methods. Zbl 1167.65368
Argyros, Ioannis K.; Hilout, Said
2009
On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2013
A convergence analysis of Newton-like method for singular equations using recurrent functions. Zbl 1197.65056
Argyros, Ioannis K.; Hilout, Saïd
2010
Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. Zbl 1293.65085
Argyros, Ioannis K.; Hilout, Saïd
2013
Expanding the applicability of inexact Newton methods under Smale’s ($$\alpha$$, $$\gamma$$)-theory. Zbl 1336.65099
Argyros, Ioannis K.; Khattri, Sanjay K.; Hilout, Saïd
2013
An improved local convergence analysis for a two-step Steffensen-type method. Zbl 1180.65067
Argyros, Ioannis K.; Hilout, Saïd
2009
Multipoint method for generalized equations under mild differentiability conditions. Zbl 1179.65059
Argyros, Ioannis K.; Hilout, Saïd
2008
Steffensen methods for solving generalized equations. Zbl 1224.65140
Argyros, I. K.; Hilout, S.
2008
A Kantorovich-type analysis of Broyden’s method using recurrent functions. Zbl 1189.65109
Argyros, Ioannis K.; Hilout, Saïd
2010
Convergence of directional methods under mild differentiability and applications. Zbl 1223.65035
Argyros, Ioannis K.; Hilout, Saïd
2011
On the local convergence analysis of inexact Gauss-Newton-like methods. Zbl 1237.65050
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2011
A derivative free iterative method for solving least squares problems. Zbl 1279.90197
Ren, Hongmin; Argyros, Ioannis K.; Hilout, Saïd
2011
On the convergence of Newton-type methods using recurrent functions. Zbl 1214.65028
Argyros, Ioannis K.; Hilout, Saïd
2010
Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2014
On the semilocal convergence of damped Newton’s method. Zbl 1308.65071
Argyros, Ioannis K.; Hilout, Saïd
2012
Expanding the applicability of secant-like methods for solving nonlinear equations. Zbl 1349.65179
Argyros, I. K.; Ezquerro, J. A.; Hernández, M. A.; Hilout, S.; Romero, N.; Vela, A. I.
2015
On the quadratic convergence of Newton’s method under center-Lipschitz but not necessarily Lipschitz hypotheses. Zbl 1349.65183
Argyros, Ioannis K.; Hilout, Saïd
2013
Plastic deformation instabilities: Lambert solutions of Mecking-Lücke equation with delay. Zbl 1141.74016
Hilout, Saïd; Boutat, Mohammed; Grilhé, Jean
2007
On Newton’s method for solving nonlinear equations and function splitting. Zbl 1249.65121
Argyros, Ioannis K.; Hilout, Saïd
2011
Weak convergence conditions for inexact Newton-type methods. Zbl 1296.47065
Argyros, Ioannis K.; Hilout, Saïd
2011
On multipoint iterative processes of efficiency index higher than Newton’s method. Zbl 1175.65064
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of Steffensen’s method on Banach spaces under the gamma condition. Zbl 1186.65070
Argyros, Ioannis K.; Hilout, Saïd
2009
An improved local convergence analysis for Newton-Steffensen-type method. Zbl 1188.65089
Argyros, Ioannis K.; Hilout, Saïd
2010
A Newton-like method for nonsmooth variational inequalities. Zbl 1188.65090
Argyros, Ioannis K.; Hilout, Saïd
2010
Weaker convergence conditions for the secant method. Zbl 1340.65109
Argyros, Ioannis K.; Hilout, Saïd
2014
A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. Zbl 1209.65067
Argyros, Ioannis K.; Hilout, Saïd
2010
A unified approach for the convergence of certain numerical algorithms, using recurrent functions. Zbl 1214.65027
Argyros, Ioannis K.; Hilout, Saïd
2010
Semilocal convergence of Newton’s method for singular systems with constant rank derivatives. Zbl 1242.65101
Argyros, Ioannis K.; Hilout, Saïd
2011
On the midpoint method for solving generalized equations. Zbl 1226.65048
Argyros, Ioannis K.; Hilout, Saïd
2008
On the local convergence of the Gauss-Newton method. Zbl 1226.65042
Argyros, Ioannis K.; Hilout, Saïd
2009
On the semilocal convergence of an inverse free Broyden’s method. Zbl 1230.65064
Argyros, Ioannis K.; Hilout, Saïd
2010
Local convergence analysis for a certain class of inexact methods. Zbl 1158.65325
Argyros, Ioannis K.; Hilout, Saäid
2008
On the convergence of some iterative procedures under regular smoothness. Zbl 1173.65038
Argyros, Ioannis K.; Hilout, Saïd
2009
A unifying theorem for Newton’s method on spaces with a convergence structure. Zbl 1214.65029
Argyros, Ioannis K.; Hilout, Saïd
2011
On Newton-like methods of “bounded deterioration” using recurrent functions. Zbl 1213.65078
Argyros, Ioannis K.; Hilout, Saïd
2010
On the Gauss-Newton method. Zbl 1259.65075
Argyros, Ioannis K.; Hilout, Saïd
2011
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions. Zbl 1221.65130
Argyros, Ioannis K.; Hilout, Saïd
2011
Directional Chebyshev-type methods for solving equations. Zbl 1307.65072
Argyros, I. K.; Hernández, M. A.; Hilout, S.; Romero, N.
2015
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. Zbl 1329.65114
Argyros, Ioannis K.; Hilout, Saïd
2016
Weaker convergence for Newton’s method under Hölder differentiability. Zbl 1303.65042
Argyros, Ioannis K.; Hilout, Saïd
2014
Semilocal convergence conditions for the secant method, using recurrent functions. Zbl 1289.65136
Argyros, Ioannis K.; Hilout, Said
2011
On the convergence of inexact two-step Newton-like algorithms using recurrent functions. Zbl 1295.65063
Argyros, Ioannis K.; Hilout, Saïd
2012
Finite-time blow-up for a thin-film surface evolution problem. (Explosion en temps fini de la solution d’un problème d’évolution de surface de film mince.) Zbl 1055.35127
Boutat, Mohammed; D’Angelo, Yves; Hilout, Saïd; Lods, Véronique
2003
The generalized thin film equation with periodic-domain conditions. Zbl 1134.35068
Boutat, M.; Hilout, S.; Rakotoson, J.-E.; Rakotoson, J.-M.
2008
A two-step Steffensen-type method for nonsmooth variational inclusions. Zbl 1167.47045
Hilout, Saïd
2007
Expanding the applicability of high-order Traub-type iterative procedures. Zbl 1308.65082
Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd
2014
The majorant method in the theory of Newton-Kantorovich approximations and generalized Lipschitz conditions. Zbl 1329.65114
Argyros, Ioannis K.; Hilout, Saïd
2016
Expanding the applicability of secant-like methods for solving nonlinear equations. Zbl 1349.65179
Argyros, I. K.; Ezquerro, J. A.; Hernández, M. A.; Hilout, S.; Romero, N.; Vela, A. I.
2015
Directional Chebyshev-type methods for solving equations. Zbl 1307.65072
Argyros, I. K.; Hernández, M. A.; Hilout, S.; Romero, N.
2015
Expanding the applicability of Newton’s method using Smale’s $$\alpha$$-theory. Zbl 1291.65167
Argyros, Ioannis K.; Hilout, Saïd; Khattri, Sanjay K.
2014
Newton-type methods on Riemannian manifolds under Kantorovich-type conditions. Zbl 1364.65113
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2014
Traub-type high order iterative procedures on Riemannian manifolds. Zbl 1317.47061
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2014
Weaker convergence conditions for the secant method. Zbl 1340.65109
Argyros, Ioannis K.; Hilout, Saïd
2014
Weaker convergence for Newton’s method under Hölder differentiability. Zbl 1303.65042
Argyros, Ioannis K.; Hilout, Saïd
2014
Expanding the applicability of high-order Traub-type iterative procedures. Zbl 1308.65082
Amat, Sergio; Argyros, Ioannis K.; Busquier, Sonia; Hilout, Saïd
2014
On the local convergence of fast two-step Newton-like methods for solving nonlinear equations. Zbl 1262.65061
Argyros, I. K.; Hilout, S.
2013
Computational methods in nonlinear analysis. Efficient algorithms, fixed point theory and applications. Zbl 1279.65062
Argyros, Ioannis K.; Hilout, Saïd
2013
On an improved convergence analysis of Newton’s method. Zbl 1336.65098
Argyros, Ioannis K.; Hilout, Saïd
2013
Estimating upper bounds on the limit points of majorizing sequences for Newton’s method. Zbl 1259.65080
Argyros, Ioannis K.; Hilout, Saïd
2013
Extending the applicability of Newton’s method on Lie groups. Zbl 1293.65084
Argyros, Ioannis K.; Hilout, Saïd
2013
Chebyshev-secant-type methods for non-differentiable operators. Zbl 1282.47073
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
2013
On a bilinear operator free third order method on Riemannian manifolds. Zbl 1296.65079
Amat, S.; Argyros, I. K.; Busquier, S.; Castro, R.; Hilout, S.; Plaza, S.
2013
Improved local convergence analysis of inexact Gauss-Newton like methods under the majorant condition in Banach spaces. Zbl 1293.65085
Argyros, Ioannis K.; Hilout, Saïd
2013
Expanding the applicability of inexact Newton methods under Smale’s ($$\alpha$$, $$\gamma$$)-theory. Zbl 1336.65099
Argyros, Ioannis K.; Khattri, Sanjay K.; Hilout, Saïd
2013
On the quadratic convergence of Newton’s method under center-Lipschitz but not necessarily Lipschitz hypotheses. Zbl 1349.65183
Argyros, Ioannis K.; Hilout, Saïd
2013
Weaker conditions for the convergence of Newton’s method. Zbl 1245.65058
Argyros, Ioannis K.; Hilout, Saïd
2012
Numerical methods for equations and its applications. Zbl 1254.65068
Argyros, Ioannis K.; Cho, Yeaol Je; Hilout, Saïd
2012
Improved local convergence of Newton’s method under weak majorant condition. Zbl 1427.65089
Argyros, Ioannis K.; Hilout, Saïd
2012
Majorizing sequences for iterative methods. Zbl 1427.65090
Argyros, Ioannis K.; Hilout, Saïd
2012
On the semilocal convergence of damped Newton’s method. Zbl 1308.65071
Argyros, Ioannis K.; Hilout, Saïd
2012
On the convergence of inexact two-step Newton-like algorithms using recurrent functions. Zbl 1295.65063
Argyros, Ioannis K.; Hilout, Saïd
2012
On the semilocal convergence of efficient Chebyshev-secant-type methods. Zbl 1215.65102
Argyros, I. K.; Ezquerro, J. A.; Gutiérrez, J. M.; Hernández, M. A.; Hilout, S.
2011
Extending the applicability of the Gauss-Newton method under average Lipschitz-type conditions. Zbl 1228.65076
Argyros, Ioannis K.; Hilout, Saïd
2011
On the semilocal convergence of the Halley method using recurrent functions. Zbl 1291.65156
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2011
Newton-Kantorovich approximations under weak continuity conditions. Zbl 1291.65166
Argyros, Ioannis K.; Hilout, Saïd
2011
On the semilocal convergence of Werner’s method for solving equations using recurrent functions. Zbl 1291.65157
Argyros, Ioannis K.; Hilout, Saïd
2011
On the solution of systems of equations with constant rank derivatives. Zbl 1218.65044
Argyros, Ioannis K.; Hilout, Saïd
2011
Convergence of directional methods under mild differentiability and applications. Zbl 1223.65035
Argyros, Ioannis K.; Hilout, Saïd
2011
On the local convergence analysis of inexact Gauss-Newton-like methods. Zbl 1237.65050
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2011
A derivative free iterative method for solving least squares problems. Zbl 1279.90197
Ren, Hongmin; Argyros, Ioannis K.; Hilout, Saïd
2011
On Newton’s method for solving nonlinear equations and function splitting. Zbl 1249.65121
Argyros, Ioannis K.; Hilout, Saïd
2011
Weak convergence conditions for inexact Newton-type methods. Zbl 1296.47065
Argyros, Ioannis K.; Hilout, Saïd
2011
Semilocal convergence of Newton’s method for singular systems with constant rank derivatives. Zbl 1242.65101
Argyros, Ioannis K.; Hilout, Saïd
2011
A unifying theorem for Newton’s method on spaces with a convergence structure. Zbl 1214.65029
Argyros, Ioannis K.; Hilout, Saïd
2011
On the Gauss-Newton method. Zbl 1259.65075
Argyros, Ioannis K.; Hilout, Saïd
2011
Convergence domains under Zabrejko-Zinčenko conditions using recurrent functions. Zbl 1221.65130
Argyros, Ioannis K.; Hilout, Saïd
2011
Semilocal convergence conditions for the secant method, using recurrent functions. Zbl 1289.65136
Argyros, Ioannis K.; Hilout, Said
2011
Extending the Newton-Kantorovich hypothesis for solving equations. Zbl 1195.65075
Argyros, Ioannis K.; Hilout, Saïd
2010
A convergence analysis for directional two-step Newton methods. Zbl 1204.65049
Argyros, Ioannis K.; Hilout, Saïd
2010
Improved generalized differentiability conditions for Newton-like methods. Zbl 1196.65100
Argyros, Ioannis K.; Hilout, Saïd
2010
Convergence conditions for secant-type methods. Zbl 1224.65141
Argyros, Ioannis K.; Hilout, Saïd
2010
Inexact Newton methods and recurrent functions. Zbl 1189.65108
Argyros, Ioannis K.; Hilout, Saïd
2010
Inexact Newton-type methods. Zbl 1225.65058
Argyros, Ioannis K.; Hilout, Saïd
2010
On the midpoint method for solving equations. Zbl 1198.65095
Argyros, Ioannis K.; Cho, Yeol Je; Hilout, Saïd
2010
On the semilocal convergence of a Newton-type method of order three. Zbl 1193.65084
Argyros, Ioannis K.; Hilout, Saïd
2010
A convergence analysis of Newton-like method for singular equations using recurrent functions. Zbl 1197.65056
Argyros, Ioannis K.; Hilout, Saïd
2010
A Kantorovich-type analysis of Broyden’s method using recurrent functions. Zbl 1189.65109
Argyros, Ioannis K.; Hilout, Saïd
2010
On the convergence of Newton-type methods using recurrent functions. Zbl 1214.65028
Argyros, Ioannis K.; Hilout, Saïd
2010
An improved local convergence analysis for Newton-Steffensen-type method. Zbl 1188.65089
Argyros, Ioannis K.; Hilout, Saïd
2010
A Newton-like method for nonsmooth variational inequalities. Zbl 1188.65090
Argyros, Ioannis K.; Hilout, Saïd
2010
A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities. Zbl 1209.65067
Argyros, Ioannis K.; Hilout, Saïd
2010
A unified approach for the convergence of certain numerical algorithms, using recurrent functions. Zbl 1214.65027
Argyros, Ioannis K.; Hilout, Saïd
2010
On the semilocal convergence of an inverse free Broyden’s method. Zbl 1230.65064
Argyros, Ioannis K.; Hilout, Saïd
2010
On Newton-like methods of “bounded deterioration” using recurrent functions. Zbl 1213.65078
Argyros, Ioannis K.; Hilout, Saïd
2010
Enclosing roots of polynomial equations and their applications to iterative processes. Zbl 1205.26023
Argyros, I. K.; Hilout, S.
2009
Newton’s method for approximating zeros of vector fields on Riemannian manifolds. Zbl 1176.65061
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of Newton-type methods under mild differentiability conditions. Zbl 1190.65091
Argyros, Ioannis K.; Hilout, Saïd
2009
On the weakening of the convergence of Newton’s method using recurrent functions. Zbl 1259.65079
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of two-step Newton-type methods of high efficiency index. Zbl 1181.65079
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of inexact Newton-type methods using recurrent functions. Zbl 1180.65066
Argyros, Ioannis K.; Hilout, Saïd
2009
Local convergence analysis of inexact Newton-like methods. Zbl 1167.65368
Argyros, Ioannis K.; Hilout, Said
2009
An improved local convergence analysis for a two-step Steffensen-type method. Zbl 1180.65067
Argyros, Ioannis K.; Hilout, Saïd
2009
On multipoint iterative processes of efficiency index higher than Newton’s method. Zbl 1175.65064
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of Steffensen’s method on Banach spaces under the gamma condition. Zbl 1186.65070
Argyros, Ioannis K.; Hilout, Saïd
2009
On the local convergence of the Gauss-Newton method. Zbl 1226.65042
Argyros, Ioannis K.; Hilout, Saïd
2009
On the convergence of some iterative procedures under regular smoothness. Zbl 1173.65038
Argyros, Ioannis K.; Hilout, Saïd
2009
A generalized thin-film equation in multidimensional space. Zbl 1157.35395
Boutat, M.; Hilout, S.; Rakotoson, J.-E.; Rakotoson, J.-M.
2008
Local convergence of Newton-like methods for generalized equations. Zbl 1152.65061
Argyros, Ioannis K.; Hilout, Saïd
2008
Convergence analysis of a family of Steffensen-type methods for generalized equations. Zbl 1136.65057
Hilout, Saïd
2008
Multipoint method for generalized equations under mild differentiability conditions. Zbl 1179.65059
Argyros, Ioannis K.; Hilout, Saïd
2008
Steffensen methods for solving generalized equations. Zbl 1224.65140
Argyros, I. K.; Hilout, S.
2008
On the midpoint method for solving generalized equations. Zbl 1226.65048
Argyros, Ioannis K.; Hilout, Saïd
2008
Local convergence analysis for a certain class of inexact methods. Zbl 1158.65325
Argyros, Ioannis K.; Hilout, Saäid
2008
The generalized thin film equation with periodic-domain conditions. Zbl 1134.35068
Boutat, M.; Hilout, S.; Rakotoson, J.-E.; Rakotoson, J.-M.
2008
Plastic deformation instabilities: Lambert solutions of Mecking-Lücke equation with delay. Zbl 1141.74016
Hilout, Saïd; Boutat, Mohammed; Grilhé, Jean
2007
A two-step Steffensen-type method for nonsmooth variational inclusions. Zbl 1167.47045
Hilout, Saïd
2007
Stability of a cubically convergent method for generalized equations. Zbl 1100.49020
Geoffroy, Michel H.; Hilout, Saïd; Piétrus, Alain
2006
A semilocal convergence of a secant-type method for solving generalized equations. Zbl 1118.47052
Hilout, Said; Piétrus, Alain
2006
Existence and finite-time blow-up for the solution to a thin-film surface evolution problem. Zbl 1154.74343
Boutat, M.; D&rsquo;Angelo, Y.; Hilout, S.; Lods, V.
2004
Acceleration of convergence in Donchev’s iterative method for solving variational inclusions. Zbl 1031.47040
Geoffroy, M.; Hilout, S.; Pietrus, A.
2003
Finite-time blow-up for a thin-film surface evolution problem. (Explosion en temps fini de la solution d’un problème d’évolution de surface de film mince.) Zbl 1055.35127
Boutat, Mohammed; D&rsquo;Angelo, Yves; Hilout, Saïd; Lods, Véronique
2003
all top 5

### Cited by 237 Authors

 204 Argyros, Ioannis Konstantinos 66 George, Santhosh 56 Hilout, Saïd 42 Magreñán, Ángel Alberto 20 Behl, Ramandeep 14 Hernández-Verón, Miguel Ángel 13 Martínez, Eulalia 13 Parhi, Sanjaya Kumar 13 Sharma, Debasis 12 Ezquerro, José Antonio 10 Gupta, Dharmendra Kumar 10 Ren, Hongmin 10 Singh, Sukhjit 9 Amat, Sergio P. 9 Cho, Yeol Je 9 Khattri, Sanjay K. 9 Motsa, Sandile Sydney 8 Busquier, Sonia 8 Ferreira, Orizon Pereira 8 González, Daniel 8 Hueso, José Luis 8 Piétrus, Alain 7 Kansal, Munish 7 Rashid, Mohammed Harunor 7 Sicilia, Juan Antonio 7 Torregrosa Sanchez, Juan Ramón 6 Cordero, Alicia 6 Geoffroy, Michel H. 6 Grau-Sánchez, Miquel 6 Kanwar, Vinay 5 Alshomrani, Ali Saleh 5 Gutiérrez, José Manuel 5 Kou, Jisheng 5 Shakhno, Stepan Mykhaĭlovych 5 Sunanda, Shanta Kumari 4 Bhalla, Sonia 4 Boutat, Mohammed 4 Erappa, Shobha Monnanda 4 Gonçalves, Max L. N. 4 Gu, Chuanqing 4 Hernández, Miguel Ángel 4 Lin, Rongfei 4 Plaza, Sergio 4 Romero, Natalia 4 Sahu, Daya Ram 4 Sarría, Ínigo 4 Sharma, Janak Raj 4 Silva, Gilson N. 4 Wang, Xiuhua 4 Wu, Qingbiao 3 Argyros, Christopher I. 3 Calvo, Manuel 3 Chen, Minhong 3 Dontchev, Asen L. 3 Elipe, Antonio 3 Jean-Alexis, Célia 3 Kumar, Abhimanyu 3 Kumar, Himanshu 3 Liang, Bo 3 Liu, Lu 3 Lotfi, Taher 3 Montijano, Juan Ignacio 3 Noguera, Miquel 3 Orcos, Lara 3 Rández, Luis 3 Shobha, Monnanda Erappa 3 Singh, Vipin Kumar 3 Zheng, Lin 2 Bittencourt, Tiberio 2 Cabuzel, Catherine 2 D’Angelo, Yves 2 Degtyarev, Sergeĭ Petrovich 2 Díaz-Barrero, José Luis 2 Fernandes, Teles A. 2 Jidesh, P. 2 Kumar, Deepak 2 Kumar, Sunil 2 Li, Chong 2 Lods, Véronique 2 Machado, José António Tenreiro 2 Moccari, Mandana 2 Nakamura, Shohei 2 Oliveira, Fabrícia R. 2 Oliveira, Paulo Roberto 2 Peng, Xiting 2 Rakotoson, Jean-Émile 2 Rakotoson, Jean-Michel 2 Rockafellar, Ralph Tyrrell 2 Santos, Paulo Sérgio M. 2 Sawano, Yoshihiro 2 Shen, Huiying 2 Wang, Jinhua 2 Yao, Jen-Chih 2 Yarmola, H. P. 1 Abbas, Syed 1 Agarwal, Ravi P. 1 Allahviranloo, Tofigh 1 Alshormani, Ali Saleh 1 Álvarez-Caudevilla, Pablo 1 Alzahrani, Abdullah Khamis Hassan ...and 137 more Authors
all top 5

### Cited in 111 Serials

 48 Applied Mathematics and Computation 31 Journal of Computational and Applied Mathematics 27 Numerical Algorithms 19 S$$\vec{\text{e}}$$MA Journal 15 Journal of Complexity 12 Applicationes Mathematicae 11 International Journal of Applied and Computational Mathematics 9 Asian-European Journal of Mathematics 8 Journal of Mathematical Chemistry 8 Journal of Applied Mathematics and Computing 7 Journal of Mathematical Analysis and Applications 7 Journal of Optimization Theory and Applications 7 Algorithms 6 International Journal of Computer Mathematics 5 Applicable Analysis 5 Computational and Applied Mathematics 4 Numerical Functional Analysis and Optimization 4 Rendiconti del Circolo Matemàtico di Palermo. Serie II 4 Applied Mathematics Letters 4 Computational Optimization and Applications 4 International Journal of Computational Methods 4 Mediterranean Journal of Mathematics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 4 Journal of Nonlinear Analysis and Optimization: Theory & Applications 3 Celestial Mechanics and Dynamical Astronomy 3 Positivity 3 Mathematics 3 Cogent Mathematics 2 Computers & Mathematics with Applications 2 Calcolo 2 Czechoslovak Mathematical Journal 2 Journal of Global Optimization 2 Mathematical Programming. Series A. Series B 2 Discrete and Continuous Dynamical Systems 2 Novi Sad Journal of Mathematics 2 Journal of Inequalities and Applications 2 Matematychni Studiï 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Boundary Value Problems 2 ISRN Applied Mathematics 2 Arabian Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Computational Physics 1 Journal of the Franklin Institute 1 Mathematical Methods in the Applied Sciences 1 Mathematics of Computation 1 Functiones et Approximatio. Commentarii Mathematici 1 Journal of Differential Equations 1 Journal of the Korean Mathematical Society 1 Matematički Vesnik 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of Computational Mathematics 1 Applied Numerical Mathematics 1 Optimization 1 Constructive Approximation 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Aequationes Mathematicae 1 Applied Mathematical Modelling 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Russian Mathematics 1 Set-Valued Analysis 1 The Journal of Analysis 1 Applied Mathematics. Series B (English Edition) 1 Journal of Mathematical Sciences (New York) 1 Journal of the Egyptian Mathematical Society 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Abstract and Applied Analysis 1 Taiwanese Journal of Mathematics 1 International Journal of Nonlinear Sciences and Numerical Simulation 1 Nonlinear Analysis. Real World Applications 1 Applied Mathematics E-Notes 1 Communications on Pure and Applied Analysis 1 Milan Journal of Mathematics 1 Fixed Point Theory 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Fixed Point Theory and Applications 1 Cubo 1 Journal of Fixed Point Theory and Applications 1 ACM Communications in Computer Algebra 1 Journal of Nonlinear Science and Applications 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics 1 Science China. Mathematics 1 Applied General Topology 1 Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 1 TWMS Journal of Pure and Applied Mathematics 1 Symmetry 1 Afrika Matematika ...and 11 more Serials
all top 5

### Cited in 28 Fields

 332 Numerical analysis (65-XX) 170 Operator theory (47-XX) 69 Calculus of variations and optimal control; optimization (49-XX) 29 Operations research, mathematical programming (90-XX) 24 Integral equations (45-XX) 20 Partial differential equations (35-XX) 9 Ordinary differential equations (34-XX) 9 Approximations and expansions (41-XX) 8 Fluid mechanics (76-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Difference and functional equations (39-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 3 Mechanics of particles and systems (70-XX) 3 Mechanics of deformable solids (74-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX) 1 Biology and other natural sciences (92-XX) 1 Systems theory; control (93-XX)