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1

Inexact Newton-type methods

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Complexity

Year:

2010

Language:

english

File:

PDF, 273 KB

english, 2010

2

A Kantorovich-type analysis of Broyden’s method using recurrent functions

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2010

Language:

english

File:

PDF, 423 KB

english, 2010

3

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Newton–Tikhonov Method for Ill-posed Problems

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 499 KB

english, 2013

4

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Secant Method

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 610 KB

english, 2013

5

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Newton-like Methods

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 666 KB

english, 2013

6

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Broyden’s Method

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 198 KB

english, 2013

7

A generalized thin-film equation in multidimensional space

M. Boutat, S. Hilout, J.-E. Rakotoson, J.-M. Rakotoson

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2008

Language:

english

File:

PDF, 405 KB

english, 2008

8

On the midpoint method for solving equations

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout

Journal:

Applied Mathematics and Computation

Year:

2010

Language:

english

File:

PDF, 233 KB

english, 2010

9

Mathematical modelling of plastic deformation instabilities with two delays

Saïd Hilout, Mohammed Boutat, Idriss Laadnani, Jean Grilhé

Journal:

Applied Mathematical Modelling

Year:

2010

Language:

english

File:

PDF, 424 KB

english, 2010

10

A Fréchet derivative-free cubically convergent method for set-valued maps

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2008

Language:

english

File:

PDF, 325 KB

english, 2008

11

A derivative free iterative method for solving least squares problems

Hongmin Ren, Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2011

Language:

english

File:

PDF, 362 KB

english, 2011

12

Newton’s method for approximating zeros of vector fields on Riemannian manifolds

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2009

Language:

english

File:

PDF, 336 KB

english, 2009

13

On the convergence of Newton-type methods using recurrent functions

Argyros, Ioannis, Hilout, Said

Journal:

International Journal of Computer Mathematics

Year:

2010

Language:

english

File:

PDF, 177 KB

english, 2010

14

Expanding the applicability of Inexact Newton Methods under Smale’s (α, γ)-theory

Argyros, Ioannis K., Khattri, Sanjay K., Hilout, Saïd

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 587 KB

english, 2013

15

On an improved convergence analysis of Newton’s method

Argyros, Ioannis K., Hilout, Saïd

Journal:

Applied Mathematics and Computation

Year:

2013

Language:

english

File:

PDF, 504 KB

english, 2013

16

Improved local convergence analysis of inexact Gauss–Newton like methods under the majorant condition in Banach spaces

Argyros, Ioannis K., Hilout, Saïd

Journal:

Journal of the Franklin Institute

Year:

2013

Language:

english

File:

PDF, 411 KB

english, 2013

17

On the Convergence of Broyden-Like Methods Using Recurrent Functions

Argyros, Ioannis K., Cho, Yeol Je, Hilout, Saïd

Journal:

Numerical Functional Analysis and Optimization

Year:

2010

Language:

english

File:

PDF, 149 KB

english, 2010

18

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Chebyshev’s Method

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 360 KB

english, 2013

19

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Halley’s Method

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 311 KB

english, 2013

20

Computational Methods in Nonlinear Analysis (Efficient Algorithms, Fixed Point Theory and Applications) || Gauss–Newton Method

Argyros, Ioannis K, Hilout, Saïd

Year:

2013

Language:

english

File:

PDF, 408 KB

english, 2013

21

Local convergence of Newton-like methods for generalized equations

Ioannis K. Argyros, Saïd Hilout

Journal:

Applied Mathematics and Computation

Year:

2008

Language:

english

File:

PDF, 164 KB

english, 2008

22

Convergence of Directional Methods under mild differentiability and applications

Ioannis K. Argyros, Saïd Hilout

Journal:

Applied Mathematics and Computation

Year:

2011

Language:

english

File:

PDF, 304 KB

english, 2011

23

The generalized thin film equation with periodic-domain conditions

M. Boutat, S. Hilout, J.-E. Rakotoson, J.-M. Rakotoson

Journal:

Applied Mathematics Letters

Year:

2008

Language:

english

File:

PDF, 178 KB

english, 2008

24

Extending the Newton–Kantorovich hypothesis for solving equations

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Computational and Applied Mathematics

Year:

2010

Language:

english

File:

PDF, 378 KB

english, 2010

25

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

I.K. Argyros, J.A. Ezquerro, J.M. Gutiérrez, M.A. Hernández, S. Hilout

Journal:

Journal of Computational and Applied Mathematics

Year:

2011

Language:

english

File:

PDF, 257 KB

english, 2011

26

Explosion en temps fini de la solution d'un problème d'évolution de surface de film mince

Mohammed Boutat, Yves D'Angelo, Saïd Hilout, Véronique Lods

Journal:

Comptes Rendus Mathematique

Year:

2003

Language:

french

File:

PDF, 103 KB

french, 2003

27

Sur un problème d'évolution d'interface dans le cas axisymétrique

Mohammed Boutat, Saïd Hilout, Yves D'Angelo, Véronique Lods

Journal:

Comptes Rendus Mathematique

Year:

2005

File:

PDF, 124 KB

2005

28

Improved generalized differentiability conditions for Newton-like methods

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Complexity

Year:

2010

Language:

english

File:

PDF, 385 KB

english, 2010

29

A unifying theorem for Newton’s method on spaces with a convergence structure

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Complexity

Year:

2011

Language:

english

File:

PDF, 284 KB

english, 2011

30

Convergence analysis of a family of Steffensen-type methods for generalized equations

Journal:

Journal of Mathematical Analysis and Applications

Year:

2008

Language:

english

File:

PDF, 147 KB

english, 2008

31

Stabilité en optimisation convexe non différentiable

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

Language:

english

File:

PDF, 338 KB

english, 1999

32

Directional Lipschitzian optimal solution of infinite-dimensional optimization problems

Journal:

Applied Mathematics Letters

Year:

1998

Language:

english

File:

PDF, 415 KB

english, 1998

33

On Newton-like methods of “bounded deterioration” using recurrent functions

Ioannis K. Argyros, Saïd Hilout

Journal:

Aequationes Mathematicae

Year:

2010

Language:

english

File:

PDF, 251 KB

english, 2010

34

A unified approach for the convergence of certain numerical algorithms, using recurrent functions

Ioannis K. Argyros, Saïd Hilout

Journal:

Year:

2010

Language:

english

File:

PDF, 326 KB

english, 2010

35

Convergence conditions for secant-type methods

Ioannis K. Argyros, Saïd Hilout

Journal:

Czechoslovak Mathematical Journal

Year:

2010

Language:

english

File:

PDF, 213 KB

english, 2010

36

On the convergence of Newton-type methods under mild differentiability conditions

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2009

Language:

english

File:

PDF, 432 KB

english, 2009

37

A Kantorovich-type convergence analysis of the Newton–Josephy method for solving variational inequalities

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2010

Language:

english

File:

PDF, 409 KB

english, 2010

38

A convergence analysis for directional two-step Newton methods

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2010

Language:

english

File:

PDF, 446 KB

english, 2010

39

On the solution of systems of equations with constant rank derivatives

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2011

Language:

english

File:

PDF, 396 KB

english, 2011

40

Extending the applicability of the Gauss–Newton method under average Lipschitz–type conditions

Ioannis K. Argyros, Saïd Hilout

Journal:

Numerical Algorithms

Year:

2011

Language:

english

File:

PDF, 540 KB

english, 2011

41

A Semilocal Convergence of a Secant–Type Method for Solving Generalized Equations

Said Hilout, Alain Piétrus

Journal:

Year:

2006

Language:

english

File:

PDF, 159 KB

english, 2006

42

An Uniparametric Secant–Type Method for Nonsmooth Generalized Equations

Journal:

Year:

2008

Language:

english

File:

PDF, 171 KB

english, 2008

43

Stability of a Cubically Convergent Method for Generalized Equations

Michel H. Geoffroy, Saïd Hilout, Alain Piétrus

Journal:

Set-Valued and Variational Analysis

Year:

2006

Language:

english

File:

PDF, 402 KB

english, 2006

44

An improved local convergence analysis for a two-step Steffensen-type method

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2009

Language:

english

File:

PDF, 312 KB

english, 2009

45

An improved local convergence analysis for

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2010

Language:

english

File:

PDF, 313 KB

english, 2010

46

On the Gauss–Newton method

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2011

Language:

english

File:

PDF, 396 KB

english, 2011

47

On the semilocal convergence of the Halley method using recurrent functions

Ioannis K. Argyros, Yeol Je Cho, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2011

Language:

english

File:

PDF, 746 KB

english, 2011

48

Newton–Kantorovich approximations under weak continuity conditions

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2011

Language:

english

File:

PDF, 528 KB

english, 2011

49

On the convergence of inexact two-step Newton-like algorithms using recurrent functions

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2012

Language:

english

File:

PDF, 662 KB

english, 2012

50

Erratum to: On the semilocal convergence of the Hally method using recurrent functions

Ioannis K. Argyros, Saïd Hilout

Journal:

Journal of Applied Mathematics and Computing

Year:

2012

Language:

english

File:

PDF, 110 KB

english, 2012

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