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Felipe . Alvarez Daziano

Deputy Dean

UNIVERSIDAD DE CHILE. FACULTAD DE CIENCIAS FÍSICAS Y MATEMÁTICAS, DEPARTAMENTO DE INGENIERÍA MATEMÁTICA

Santiago, Chile

Variational Analysis; Tame Optimization; Dynamical Systems; Optimization; Dynamical Systems; Optimal Control; Calculus of Variations

Applied Mathematics, UNIVERSITE MONTPELLIER II. Francia, 1998
Mathematical Engineer, UNIVERSIDAD DE CHILE. Chile, 1996

Associate Professor, Deputy Dean Full Time

UNIVERSIDAD DE CHILE

Facultad de Ciencias Físicas y Matemáticas

Santiago, Chile

1999 - At present
Deputy Dean Full Time

UNIVERSIDAD DE CHILE

Faculty of Physical and Mathematical Sciences

Santiago, Chile

2010 - At present

Advisor of:

Ph.D. in Mathematical Modeling (Universidad de Chile):
1. Natalia Ruiz (ongoing): Contributions to the Convergence Theory and Computational Implementation of Interior Optimization Methods for Convex Separable Problems.
2. Julio Lopez (2009): Contributions to Second Order Cone Programming and Matrix Optimization using Variable Metric Methods.
3. Juan Peypouquet (2007): Asymptotic Analysis of Dissipative Evolution Systems in Optimization. Sandwich Thesis with Université Paris 6, France. Co-advisor: Prof. Sylvain Sorin.
4. Miguel Carrasco (2007): Penalty Proximal Algorithms with Applications to Structural Optimization. Sandwich Thesis with Université de Montpellier, France. Co-advisor: Prof. Lionel Thibault.

Mathematical Engineering Degree (U. de Chile):
1. Cristopher Hermosilla, 2011.
2. Luis Saavedra, 2007.
3. Salvador Flores, 2005.
4. José Aliste, 2005.
5. Miguel Carrasco, 2003.

Mathematical Engineering Degree (U. Técnica Federico Santa María, Chile):
1. Sebastián Flores, 2008.

Best PhD Thesis in Science 1999

ACADEMIA CHILENA DE CIENCIAS

Chile, 1999

Distinction of the Chilean Academy of Science for the best PhD Thesis of the year defended in a Chilean institution.
Member

Global Young Academy (GYA)

Alemania, 2011

The GYA provides a rallying point for outstanding young scientists from around the world to come together to address topics of global importance. As of 2014, the GYA has reached its full capacity with 200 members, leading young scientists (defined as an average age of 35 years and at the beginning of their independent academic career) from 58 countries and all continents, and 63 alumni. Members are selected for the excellence of their science and their commitment to service and are serving five-year terms. The vibrancy of the GYA results from the energy of its members who are passionate about the role of science in creating a better world. The GYA is governed by an Executive Committee that reflects the diversity of its membership and is supported by a Senior Advisory Board composed of outstanding senior scientists and science managers, respectively.


Asymptotic expansions for interior penalty solutions of control constrained linear-quadratic problems Alvarez, F.; Bolte, J; Bonnans J.F.; Silva, F. J. Article ISI SCOPUS Mathematical Programming (2012)
Dual Convergence for Penalty Algorithms in Convex Programming Alvarez, F.; Carrasco M.; Champion, T Article ISI SCOPUS Journal of Optimization Theory and Applications (2012)
A continuous framework for open pit mine planning Alvarez, F.; Amaya J.; Griewank A.; Strogies N. Article ISI SCOPUS Mathematical Methods of Operations Research (2011)
A unified approach to the asymptotic almost-equivalence of evolution systems without Lipschitz conditions Alvarez, F.; Peypouquet, J Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2011)
Asymptotic almost-equivalence of Lipschitz evolution systems in Banach spaces Alvarez, F.; Peypouquet, J Article ISI SCOPUS Nonlinear Analysis, Theory, Methods and Applications (2010)
Convergence to the Optimal Value for Barrier Methods Combined with Hessian Riemannian Gradient Flows and Generalized Proximal Algorithms Alvarez, F.; Lopez, J. Article ISI SCOPUS Journal of Convex Analysis (2010)
Interior proximal algorithm with variable metric for second-order cone programming: applications to structural optimization and support vector machines Alvarez, F.; Lopez, J.; Ramirez, CH Article ISI SCOPUS Optimization Methods and Software (2010)
ASYMPTOTIC EQUIVALENCE AND KOBAYASHI-TYPE ESTIMATES FOR NONAUTONOMOUS MONOTONE OPERATORS IN BANACH SPACES Alvarez, F.; Peypouquet, J Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2009)
A unifying local convergence result for Newton's method in Riemannian manifolds Alvarez, F.; Bolte, J; Munier J Article ISI SCOPUS FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2008)
A UNIFYING LOCAL CONVERGENCE RESULT FOR NEWTONS METHOD IN RIEMANNIAN MANIFOLDS Alvarez, Felipe; Bolte, Jerome; Munier, Julien Article FOUNDATIONS OF COMPUTATIONAL MATHEMATICS (2008)
Remarks on lipschitz solutions to measurable differential inclusions and an existence result for some nonconvex variational problems Alvarez, F.; Flores, S Article ISI SCOPUS JOURNAL OF CONVEX ANALYSIS (2008)
Asymptotic selection of viscosity equilibria of semilinear evolution equations by the introduction of a slowly vanishing term Alvarez, F.; Cabot A. Article ISI SCOPUS DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS (2006)
Convergence of a hybrid projection-proximal point algorithm coupled with approximation methods in convex optimization Alvarez, F.; Carrasco M.; Pichard K Article ISI SCOPUS MATHEMATICS OF OPERATIONS RESEARCH (2005)
Hessian riemannian gradient flows tn convex programming Alvarez, F.; Bolte, J; Brahic, O Article SCOPUS SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2005)
Inner estimation of the eigenvalue set and exponential series solutions to differential inclusions Alvarez, F.; Correa, R.; Gajardo P. Article ISI SCOPUS JOURNAL OF CONVEX ANALYSIS (2005)
Minimization of the expected compliance as an alternative approach to multiload truss optimization Alvarez, F.; Carrasco M. Article ISI SCOPUS STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION (2005)
Hessian Riemannian gradient flows in convex programming Alvarez, F.; Bolte, J; Brahic, O Article ISI SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2004)
Multi-parameter homogenization by localization and blow-up Alvarez, F.; Mandallena, JP Article PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS (2004)
Steepest descent with curvature dynamical system Alvarez, F.; Cabot A. Article ISI SCOPUS JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS (2004)
Weak convergence of a relaxed and inertial hybrid projection-proximal point algorithm for maximal monotone operators in Hilbert space Alvarez, F. Article ISI SCOPUS SIAM JOURNAL ON OPTIMIZATION (2004)
A SECOND-ORDER GRADIENT-LIKE DISSIPATIVE DYMAMICAL SYSTEM WITH HESSIAN DRIVEN DAMPING Redont, P; Bolte, Jerome; Attouch, Hédy; Alvarez, Felipe Article JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2002)
A second-order gradient-like dissipative dynamical system with Hessian-driven damping. Application to optimization and mechanics Alvarez, F.; Attouch, H; Bolte, J; Redont, P Article ISI JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2002)
Homogenization of multiparameter integrals Alvarez, F.; Mandallena, JP Article ISI SCOPUS NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS (2002)
Primal and dual convergence of a proximal point exponential penalty method for linear programming Alvarez, F.; Cominetti R. Article ISI SCOPUS MATHEMATICAL PROGRAMMING (2002)
An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping Alvarez, F.; Attouch, H Article ISI SCOPUS Set-Valued Analysis (2001)
Convergence and asymptotic stabilization for some damped hyperbolic equations with non-isolated equilibria Alvarez, F.; Attouch, H Article ISI SCOPUS ESAIM: Control, Optimisation and Calculus of Variations (2001)
CONVERGENCE AND ASYPMTOTIC STABILIZATION FOR SOME DAMPED HYPERBOLIC EQUATIONS WITH NON-ISOLATED EQUILIBRIA Attouch, Hédy; Alvarez, Felipe Article ESAIM COCV ABREGES (2001)
Absolute minimizer in convex programming by exponential penalty Alvarez, F. Article ISI SCOPUS JOURNAL OF CONVEX ANALYSIS (2000)
On the minimizing property of a second order dissipative system in Hilbert spaces Alvarez, F. Article ISI SCOPUS SIAM JOURNAL ON CONTROL AND OPTIMIZATION (2000)
The heavy ball with friction dynamical system for convex constrained minimization problems Attouch, H; Alvarez, F. Article ISI OPTIMIZATION (2000)


Error estimates for the solution of a control constrained Optimal Control Problem with interior penalties Alvarez, F.; Bolte, J; Bonnans J.F.; Silva, F. J. ConferencePaper IFAC Proceedings Volumes (2009)
On the asymptotic behavior of a system of steepest descent equations coupled by a vanishing mutual repulsion Alvarez, F.; Cabot A. ConferencePaper INNOVATIONS IN DISTRIBUTION LOGISTICS (2006)