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On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

Journal of computational and applied mathematics, 2013-06, Vol.245, p.1-9

2013

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Newton-type methods on Riemannian manifolds under Kantorovich-type conditions

Applied mathematics and computation, 2014-01, Vol.227, p.762-787

2014

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On the semilocal convergence of efficient Chebyshev–Secant-type methods

Journal of computational and applied mathematics, 2011-03, Vol.235 (10), p.3195-3206

2011

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On a bilinear operator free third order method on Riemannian manifolds

Applied mathematics and computation, 2013-03, Vol.219 (14), p.7429-7444

2013

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Directional Chebyshev-type methods for solving equations

Mathematics of computation, 2015-03, Vol.84 (292), p.815-830

2015

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A generalized thin-film equation in multidimensional space

Nonlinear analysis, 2008-08, Vol.69 (4), p.1268-1286

2008

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Directional Lipschitzian optimal solution of infinite-dimensional optimization problems

Applied mathematics letters, 1998-11, Vol.11 (6), p.123-128

Hilout, S.

1998

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The generalized thin film equation with periodic-domain conditions

Applied mathematics letters, 2008, Vol.21 (1), p.101-104

2008

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Numerical Methods for Equations and its Applications

1, 2012

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ENLARGING THE CONVERGENCE DOMAIN OF SECANT-LIKE METHODS FOR EQUATIONS

Taiwanese journal of mathematics, 2015-04, Vol.19 (2), p.629-652

2015

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Expanding the applicability of secant-like methods for solving nonlinear equations

Carpathian Journal of Mathematics, 2015-01, Vol.31 (1), p.11-30

2015

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Traub-type high order iterative procedures on Riemannian manifolds

SeMA journal, 2014-03, Vol.63 (1), p.27-52

2014

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Chebyshev-Secant-type Methods for Non-differentiable Operators

Milan journal of mathematics, 2013-06, Vol.81 (1), p.25-35

2013

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Stability of a Cubically Convergent Method for Generalized Equations

Set-valued analysis, 2006-03, Vol.14 (1), p.41-54

2006

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An interface evolution problem in the axisymmetric case

Comptes rendus. Mathématique, 2005-08, Vol.341 (3), p.195-200

2005

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Finite-time blow-up for a thin-film surface evolution problem

Comptes rendus. Mathématique, 2003-10, Vol.337 (8), p.549-552

2003

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Stabilité en optimisation convexe non différentiable

Comptes rendus de l'Académie des sciences. Série I. Mathématique, 1999-12, Vol.329 (11), p.1027-1032

Hilout, Saïd

1999

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Weaker conditions for the convergence of Newton’s method

Journal of Complexity, 2012-06, Vol.28 (3), p.364-387

2012

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On an improved convergence analysis of Newton’s method

Applied mathematics and computation, 2013-12, Vol.225, p.372-386

2013

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Improved local convergence of Newton’s method under weak majorant condition

Journal of computational and applied mathematics, 2012, Vol.236 (7), p.1892-1902

2012

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The majorant method in the theory of Newton–Kantorovich approximations and generalized Lipschitz conditions

Journal of computational and applied mathematics, 2016-01, Vol.291, p.332-347

2016

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Extending the Newton–Kantorovich hypothesis for solving equations

Journal of computational and applied mathematics, 2010-09, Vol.234 (10), p.2993-3006

2010

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On the semilocal convergence of damped Newton’s method

Applied mathematics and computation, 2012-11, Vol.219 (5), p.2808-2824

2012

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Extending the applicability of Newton’s method on Lie groups

Applied mathematics and computation, 2013-06, Vol.219 (20), p.10355-10365

2013

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Expanding the applicability of Newton’s method using Smale’s α-theory

Journal of computational and applied mathematics, 2014-05, Vol.261, p.183-200

2014

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On the local convergence of fast two-step Newton-like methods for solving nonlinear equations

Newton-type methods on Riemannian manifolds under Kantorovich-type conditions

On the semilocal convergence of efficient Chebyshev–Secant-type methods

On a bilinear operator free third order method on Riemannian manifolds

Directional Chebyshev-type methods for solving equations

A generalized thin-film equation in multidimensional space

Directional Lipschitzian optimal solution of infinite-dimensional optimization problems

The generalized thin film equation with periodic-domain conditions

Numerical Methods for Equations and its Applications

ENLARGING THE CONVERGENCE DOMAIN OF SECANT-LIKE METHODS FOR EQUATIONS

Expanding the applicability of secant-like methods for solving nonlinear equations

Traub-type high order iterative procedures on Riemannian manifolds

Chebyshev-Secant-type Methods for Non-differentiable Operators

Stability of a Cubically Convergent Method for Generalized Equations

An interface evolution problem in the axisymmetric case

Finite-time blow-up for a thin-film surface evolution problem

Stabilité en optimisation convexe non différentiable

Weaker conditions for the convergence of Newton’s method

On an improved convergence analysis of Newton’s method

Improved local convergence of Newton’s method under weak majorant condition

The majorant method in the theory of Newton–Kantorovich approximations and generalized Lipschitz conditions

Extending the Newton–Kantorovich hypothesis for solving equations

On the semilocal convergence of damped Newton’s method

Extending the applicability of Newton’s method on Lie groups

Expanding the applicability of Newton’s method using Smale’s α-theory

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