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MP
1998
134views more  MP 1998»
13 years 4 months ago
Second-order global optimality conditions for convex composite optimization
In recent years second-order sufficient conditions of an isolated local minimizer for convex composite optimization problems have been established. In this paper, second-order opt...
Xiaoqi Yang
SIAMCO
2000
110views more  SIAMCO 2000»
13 years 4 months ago
On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
We study the asymptotic behavior at infinity of solutions of a second order evolution equation with linear damping and convex potential. The differential system is defined in a rea...
Felipe Alvarez
SIAMJO
2010
107views more  SIAMJO 2010»
13 years 3 months ago
Second-Order Analysis of Polyhedral Systems in Finite and Infinite Dimensions with Applications to Robust Stability of Variation
Abstract. This paper concerns second-order analysis for a remarkable class of variational systems in finite-dimensional and infinite-dimensional spaces, which is particularly imp...
René Henrion, Boris S. Mordukhovich, Nguyen...
MP
2002
195views more  MP 2002»
13 years 4 months ago
Nonlinear rescaling vs. smoothing technique in convex optimization
We introduce an alternative to the smoothing technique approach for constrained optimization. As it turns out for any given smoothing function there exists a modification with part...
Roman A. Polyak
MOC
2002
86views more  MOC 2002»
13 years 4 months ago
Hermite interpolation of nonsmooth functions preserving boundary conditions
Abstract. This article is devoted to the construction of a Hermite-type regularization operator transforming functions that are not necessarily C1 into globally C1 finite-element f...
V. Girault, L. R. Scott