Relatórios de Pesquisa

19/1997 Weierstrass Formula for Minimal Surfaces in Heisenberg Group
Christiam B. Figueroa
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18/1997 Pontrjagin Classes and the Homology of an Orientable Manifold
Ricardo N. Cruz
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17/1997 Optimality Conditions for Pareto Nonsmooth Nonconvex Programming in Banach Spaces
Adilson J. Vieira-Brandão, Marko A. Rojas-Medar, G. N. Silva
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16/1997 The Symmetric Tensor Product of a Direct Sum of Locally Convex Spaces
José M. Ansemil, Klaus Floret
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15/1997 Nonsmooth Continuous-Time Optimization Problems: Sufficient Conditions
Marko A. Rojas-Medar, Adilson J. Vieira-Brandão, Geraldo N. Silva
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14/1997 Can the Klein-Gordon Equation Describe Superluminal Processes ?
José Emílio Maiorino
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13/1997 Open Problems on Regularization of Discontinuous Vector Fields
Marco A. Teixeira
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12/1997 Harmonic Sequences of Harmonic 2-Spheres in Grassmann Manifolds
Xiaohuan Mo, Caio J. C. Negreiros
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11/1997 Relato de Experiência: O Computador no Ensino de Cálculo, O Problema do Lixo na Unicamp e Outras Aplicações
Vera L. X. Figueiredo, Sandra A. Santos
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10/1997 Exact Penalty Methods With Constrained Subproblems
Sílvia M. H. Janesch, Lúcio T. Santos

The objective of this paper is twofold. On one hand, the main results of the exact penalty methods for nonlinear programming that are useful for algorithmic purposes are surveyed and the proof of the main result is simplified. On the other hand, it is shown that the main theorem of this subject still holds when one includes only a subset of the constraints in the penalyzed objective function, so that suitable constrained subproblems are solved at each penalty step. The reasons why this is important from a practical (algorithmic) point of view are explained.


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