LAMIA
Membre

Alain PIETRUS
Statut: Professeur des Universités à l'Université des Antilles
Equipe: Mathématiques
Département: maths-info
Bureau: RC08
: 0590483090
: 0590483086
:

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Nombre total de publications : 58


Article dans une revue

Some actions to control e-rumor. Séverine Bernard, Ténissia César, Alain Pietrus - e-Journal of the Caribbean Academy of Sciences, 2017, 9 (1)
An e-rumour model with control on the spreaders. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus - Comptes rendus de l'Académie bulgare des Sciences, Bulgarian Academy of Sciences, 2016, 69 (11), pp.1407-1414
Diabetes, complications and limit cycles. Séverine Bernard, Silvère Paul Nuiro, Alain Pietrus - Applied Mathematics E - Notes, Tsing Hua University, 2015, 15, pp.197-206
An optimal control approach for e-rumor. Séverine Bernard, Gemayqzel Bouza, Alain Pietrus - Revista Investigacion Operacional, 2015, 36 (2), pp.108-114
Optimal glucose modelling for diabetes. Séverine Bernard, Alain Pietrus - e-Journal of the Caribbean Academy of Sciences, 2015, 8 (1)
Local convergence of Exact and Inexact Newton's method for subanalytic variational inclusions. Burnet Steeve, Catherine Cabuzel, Alain Pietrus - Revista de Matematica: Teoria y Aplicaciones , 2015, 22 (1), pp.31-47
An extension of Newton-Kantorovich theorem for subanalytic variational inclusions. Alain Pietrus - Analele Stiintifice Ale Universitatii "Al. I. Cuza" Din Iasi Matematica, 2014, pp.10.2478/aicu-2014-0013. 〈10.2478/aicu-2014-0013〉
No differentiable perturbed Newton's method for functions with values in a cone. Alain Pietrus - Revista Investigacion Operacional, 2014, 35 (1), pp.58-67
Newton-Scant method for functions with values in a cone. Alain Pietrus, Célia Jean-Alexis - Serdica Math. J., 2013, 39, pp.271-286
A differential inclusion approach for modeling and analysis of dynamical systems under uncertainty. Alain Pietrus, Jorge Barrios, Aymée Marrero, Gonzalo Joya, Hector De Arazoza - Soft Computing, Springer Verlag, 2012, pp.DOI 10.1007/s00500-012-0889-2
A multipoint iterative method for semistable solutions. Burnet Steeve, Célia Jean-Alexis, Alain Piétrus - Applied Mathematics E - Notes, Tsing Hua University, 2012, 12, pp.44-52
An iterative method for semistable solutions. Steeve Burnet, Célia Jean-Alexis, Alain Piétrus - Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales- RACSAM, 2011, 105 (1), pp.133-138
local analysis of a cubically convergent method for variational inclusions. Alain Pietrus, Burnet Steeve - Applicationes Mathematicae, 2011, 38, pp.183-191
Solving varitional inclusions by a method obtained using a multipoint iteration formula. Alain Pietrus, Catherine Cabuzel - Revista Matematica Complutense, 2009, 22 (1), pp.63-74
Superquadratic convergence of a Hummel-Seebeck type method. Célia Jean-Alexis, Alain Piétrus - Revista Colombiana de Matematicas, 2009, 43 (1), pp.1-8
A Hummel-Seebeck type method for variational inclusions. Michel H. Geoffroy, Alain Piétrus, Célia Jean-Alexis - Optimization, Taylor & Francis, 2009, 58 (4), pp.389-399
On the discretization of Switched Systems : Error Analysis. Alain Pietrus, Vladimir Veliov - Systems and Control Letters, Elsevier, 2009, 58, pp.395-399
A superquadratic method for solving variational inclusions under weak conditions. Célia Jean-Alexis, Alain Piétrus - Applied Mathematics E - Notes, Tsing Hua University, 2008, 8, pp.186-193
An iterative method for subanalytic perturbed generalized equations. Alain Pietrus, Catherine Cabuzel - Comptes rendus de l'Académie bulgare des Sciences, Bulgarian Academy of Sciences, 2008, 61 (8), pp.973-978
Iterative solving of variational inclusions under Wijsman perturbations. Michel H. Geoffroy, Alain Piétrus, Célia Jean-Alexis - Journal of Global Optimization, Springer Verlag, 2008, 42 (1), pp.111-120
Local convergence of Newton's method for subanalytic variational inclusions. Catherine Cabuzel, Alain Piétrus - Positivity, Springer Verlag, 2008, 12, pp.525-533
An iterative method for a perturbed subanalytic variational inclusion. Catherine Cabuzel, Alain Piétrus - Comptes rendus de l'Académie bulgare des Sciences, Bulgarian Academy of Sciences, 2008, 61 (8), pp.973-978
On the convergence of some methods for variational inclusions. Célia Jean-Alexis, Alain Piétrus - RACSAM, 2008, 102 (2), pp.355-361
Solving variational inclusions by a multipoint iteration method under center-Holder continuity conditions. Alain Pietrus, Catherine Cabuzel - Applicationes Mathematicae, 2007, 34 (4), pp.493-503
Regularity properties of a cubically convergent scheme for generalized equations. Michel H. Geoffroy, Alain Piétrus - Communications on Pure and Applied Mathematics, Wiley, 2007, 6 (4), pp.983-996
Solving variational inclusions by a multipoint iteration method under center-Hölder continuity conditions. Catherine Cabuzel, Alain Piétrus - Applicationes Mathematicae, 2007, 34 (4), pp.493-503
A cubic method without second order derivative for solving variational inclusions. Célia Jean-Alexis, Alain Piétrus - Compte Rendu de l'Académie bulgare des Sciences, 2006, 59 (12), pp.1213-1218
A new formulation of the Cahn-Hilliard equation. Alain Pietrus, Alain Miranville - Nonlinear Analysis Real World Applications, 2006, 7 (2), pp.285-307
A semilocal convergence of a secant-type method for solving generalized equations. Alain Pietrus, Saïd Hilout - Positivity, Springer Verlag, 2006, 10 (4), pp.693-700
Stability of a cubically convergent method for generalized equations. Michel H. Geoffroy, Alain Piétrus, Saïd Hilout - Set-Valued Analysis, Springer Verlag, 2006, 14 (1), pp.41-54
A variant of Newton's method for generalized equations. Célia Jean-Alexis, Alain Piétrus - Revista Colombiana de Matematicas, 2005, 39 (2), pp.97-112
A general iterative procedure for solving nonsmooth generalized equations. Michel H. Geoffroy, Alain Piétrus - Computational Optimization and Applications, Springer Verlag, 2005, 31 (1), pp.57-67
Local convergence of some iterative methods for generalized equations. Michel H. Geoffroy, Alain Piétrus - Journal of Mathematical Analysis and applications, Elsevier, 2004, 290 (2), pp.497-505
An iterative method for perturbed generalized equations. Michel H. Geoffroy, Alain Piétrus - Comptes rendus de l'Académie bulgare des Sciences, Bulgarian Academy of Sciences, 2004, 57 (11), pp.7-12
Mathematical study of the equation describing the evolution of the surface of a film. Alain Pietrus, Véronique Lods, Jean-Michel Rakotoson - Asymptotic Analysis, IOS Press, 2003, 33 (1), pp.67-91
A superquadratic method for solving generalized equations in the Hölder case. Michel H. Geoffroy, Alain Piétrus - Ricerce di matematica, 2003, 52 (2), pp.231-240
Acceleration of convergence in Dontchev's iterative method for solving variational inclusions. Michel H. Geoffroy, Alain Piétrus, Saïd Hilout - Serdica Mathematical Journal, Bulgarian Academy of Sciences, 2003, 29 (1), pp.45-54
Weakly coupled dynamical system and applications. Alain Pietrus, Maïté Carrive, Alain Miranville, Jean-Michel Rakotoson - Asymptotic Analysis, IOS Press, 2002, 30 (2), pp.161-185
Equivalence of formulations and uniqueness in a T-set. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson - Nonlinear Analysis Theory Methods and Applications, Elsevier, 2001, 46 (5), pp.609-627
Remarques sur quelques problèmes semi-linéaires et elliptiques ayant des non-linéarités polynomiales. Alain Pietrus - Ricerche di matematica, Springer Verlag, 2001, L (1), pp.177-189
Résolution mathématique d'équations décrivant l'évolution d'une surface d'un matériau contraint. Alain Pietrus, Véronique Lods, Jean-Michel Rakotoson - Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 2001, 332, pp.377-380
Generalized equations under mild differentiability conditions. Alain Pietrus - RACSAM : Revista Real Academia Ciencias Exactas, Fisicas, Naturales, Serie A, 2000, 94 (1), pp.15-18
Does Newton's method converges uniformly in mild differentiability context?. Alain Pietrus - Revista Colombiana de Matematicas, 2000, 34 (2), pp.49-56
The Cahn-Hilliard equation for deformable elastic continua. Alain Pietrus, Maïté Carrive, Alain Miranville - Advances in Mathematical Sciences and Applications, 2000, 10 (2), pp.539-569
Hyperbolic polynomials and single-peaked solutions of semilinear problems. Alain Pietrus - Analele Ştiinţifice ale Universitătii ``Al. I. Cuza'' din Iaşi. Serie Nouă. Matematică, 1999, XLV, pp.65-74
The Cahn-Hilliard equation for an isotropic continuum. Alain Pietrus, Maïté Carrive, Alain Miranville, Jean-Michel Rakotoson - Applied Mathematics Letters, Elsevier, 1999, 12 (2), pp.23-28
Solving triangular algebraic systems by means of simultaneous iterations. Alain Pietrus - Numerical Algorithms, Springer Verlag, 1999, 20 (4), pp.353-368
Quelques conséquences d'un théorème de Biehler. Alain Pietrus - Analele Ştiinţifice ale Universitătii ``Al. I. Cuza'' din Iaşi. Serie Nouă. Matematică, 1998, XLIV (1), pp.31-40
Dynamical aspects of a generalized Cahn-Hilliard equation obtained by microforce balance. Alain Pietrus, Alain Miranville, Jean-Michel Rakotoson - Asymptotic Analysis, IOS Press, 1998, 16, pp.315-345
Polynômes hyperboliques et combinaisons linéaires de certains polynômes hyperboliques. Alain Pietrus - Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1997, 324, pp.25-27
A globally convergent method for solving nonlinear equations without the differentiability condition. Alain Pietrus - Numerical Algorithms, Springer Verlag, 1996, 13, pp.61-76
Résolution des systèmes triangulaires d'équations algébriques par la méthodes Sym-New. Alain Pietrus, Jean-Pierre Dedieu - Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1993, 316, pp.499-502


Communications avec actes

The Euler Method for Linear Control Systems Revisited. Alain Pietrus, Vladimir Veliov, Josef Haunschmied - 9-th International Conference, LSSC 2013, 2013, Sozopol, Bulgaria. 8353, pp.88-95, 2014
Dengue model described by differential inclusions. Alain Pietrus, Jorge Barrios, Aymée Marrero, Hector De Arazoza, Gonzalo Joya - IWANN 2011, 2011, Malaga, Spain. Springer, pp.540-547, 2011, Lecture Notes in computer Science
HIV model described by differential inclusions. Alain Pietrus, Hector Arazoza, Jorge Barrios, Aymée Marrero - 10th International Work-Conference on Artificial Neural Network, IWANN 2009, 2009, Spain. 5517, pp.909-916, 2009
A fast iterative scheme for variational inclusions. Michel H. Geoffroy, Alain Piétrus - Seventh AIMS International Conference on Dynamical Systems, Differential Equations and Applications, May 2008, Arlington, TX, United States. pp.250-258, 2009


Chapitre d'ouvrage

Some results on subanalytic variational inclusions. Catherine Cabuzel, Alain Piétrus - I. Zelinka, V. Snasel, A. Abraham. Handbook of optimization, from classical to modern approach, Springer, pp.51-72, 2013, Intelligent Systems Reference Library, 978-3-642-30503-0. 〈10.1007/978-3-642-30504-7-38〉
On the Secant and Steffensen's methods for variational inclusions. Saïd Hilout, Célia Jean-Alexis, Alain Piétrus - Progress in Nonlinear Analysis Research, Nova Science Publishers, pp.273-287, 2008


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