Seminar 2018.1
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Organized by Orizon P. Ferreira
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The seminars in this semester will be held in the Lecture Room of IME/UFG, unless otherwise stated. All interested are very welcome to attend.
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Title: Proximal point method for center of mass on sphere
Speaker: Lucas Vidal Meireles (Ph.D. student-IME/UFG)
Abstract: In this presentation, we approach the problem of finding center of mass on sphere, and we investigate the convergence of proximal point algorithm for solving this problem.
Data: 22/03/2018
Hora: 08:00 hrs
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Title: Non-linear conjugate gradient methods for vector optimization
Speaker: Leandro da Fonseca Prudente (Professor-IME/UFG)
Abstract: We propose non-linear conjugate gradient methods for finding critical points of vector-valued functions with respect to the partial order induced by a closed, convex, and pointed cone with non-empty interior. No convexity assumption is made on the objectives. The concepts of Wolfe and Zoutendjik conditions are extended for the vector-valued optimization. In particular, we show that there exist intervals of stepsizes satisfying the Wolfe-type conditions. The convergence analysis covers the vector extensions of the Fletcher-Reeves, Conjugate Descent, Dai-Yuan, Polak-Ribière-Polyak, and Hestenes-Stiefel parameters that retrieve the classical ones in the scalar minimization case. Under inexact line searches and without regular restarts, we prove that the sequences generated by the proposed methods find points that satisfy the first-order necessary condition for Pareto-optimality. Numerical experiments illustrating the practical behavior of the methods are presented.
Data: 05/04/2018
Hora: 08:00 hrs
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Title: A version of the Newton's method for solving a class of generalized equations
Speaker: Fabiana R. Oliveira (Ph.D. student-IME/UFG)
Abstract: In this talk, we will present a new version of the Newton's method for solving generalized equations. We also will discuss its local convergence theorem obtained under certain conditions.
Data: 12/04/2018
Hora: 08:00 hrs
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Title: A Generalized Alternating Direction Method of Multipliers and its Iteration-Complexity Analysis
Speaker: Vando A. Adona (Ph.D student-IME/UFG)
Abstract: In this talk will be presented a generalized alternating direction method of multipliers for computing approximate solution of a linearly constrained convex optimization problem. We will show the pointwise and ergodic interation-complexity bounds for the proposed method and some preliminary numerical experiments to illustrate the advantages of the new method.
Data: 19/04/2018
Hora: 08:00 hrs
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Title: A globally convergent method for solving constrained nonlinear systems
Speaker: Fabricia Rodrigues de Oliveira
Abstract: In this talk, we will propose a globally convergent method for solving constrained nonlinear systems. We also will discuss its global convergence results obtained under certain conditions and some preliminary numerical experiments are given to illustrate its performance.
Data: 26/04/2018
Hora: 08:00 hrs
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Title: Iteration-Complexity of Subgradient Method on Riemannian Manifolds
Speaker: Mauricio Silva Louzeiro
Abstract: The subgradient method for optimization problems in Riemannian manifolds settings is analyzed in this talk. Iteration-complexity bound for Lipschitz continuous functions will be presented for this algorithm, as well as practical and academic examples.
Data: 03/05/2018
Hora: 08:00 hrs
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Title: Newton's method for solving constrained nonlinear systems
Speaker: Fabiana Rodrigues de Oliveira
Abstract: A new version of the Newton's method for solving constrained nonlinear systems is presented in this talk. We also will discuss its local convergence theorem obtained under certain conditions and some special cases are analyzed.
Data: 10/05/2018
Hora: 08:00 hrs
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Title: Steepest descent methods for multicriteria optimization.
Speaker: Paulo César da Silva Júnior
Abstract: In this seminar will be presented the paper "Fliege, J., Svaiter, B.F.: Steepest descent methods for multicriteria optimization. Math. Methods Oper.Res.51 (3), 479–494 (2000)”.
Data: 17/05/2018
Hora: 08:00 hrs
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Title: Proximal-gradient algorithms for fractional programming
Speaker: Lucas Vidal de Meireles
Abstract: In this seminar will be presented the paper "Bot, R.I., Csetnek, E.R.: Proximal-gradient algorithms for fractional programming. Optimization, 66(8) 1383-1396 (2017)."
Data: 07/06/2018
Hora: 08:00 hrs
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Title: Title: Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition.
Speaker: Ademir Alves Aguiar
Abstract: In this seminar will be presented the paper "Convergence of the Gauss-Newton method for a special class of systems of equations under a majorant condition"
Data: 14/06/2018
Hora: 08:00 hrs
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Title: Hölder continuity of the steepest descent direction for multiobjective optimization.
Speaker: Ray Victor Guimarães Serra
Abstract: In this talk will be presented the paper " B. F. Svaiter, Hölder continuity of the steepest descent direction for multiobjective optimization, (2018) ". Our aim will show continuity properties of the descent direction generated by steepest descent method for multiobjective optimization. We will show that this direction is Hölder continuous with optimal exponent 1/2.
Data: 21/06/2018
Hora: 08:00 hrs
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Title: Local convergence analysis of a proximal Gauss-Newton method under a majorant condition
Speaker: Tiago da Costa Menezes
Abstract: In this talk will be presented the paper "G. Bouza Allende, M. L. N. Gonçalves, Local convergence analysis of a proximal Gauss-Newton method under a majorant condition, (2013) ". Our aim will its show local convergence analysis results, obtained under certain conditions.
Data: 28/06/2018
Hora: 08:00 hrs
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Coordinator schedule:
Reinier Diaz Millan (2018/2)
Luis Roman (2019/1)
Leandro F. Prudente (2019/2)
Glaydston C. Bento (2020/1)
Jefferson D. G. Melo (2020/2)