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SIAMJO
2008
92views more  SIAMJO 2008»
15 years 6 months ago
An Active-Set Newton Method for Mathematical Programs with Complementarity Constraints
For a mathematical program with complementarity constraints (MPCC), we propose an active-set Newton method, which has the property of local quadratic convergence under the MPCC lin...
Alexey F. Izmailov, Mikhail V. Solodov
SIAMJO
2008
86views more  SIAMJO 2008»
15 years 6 months ago
On the Second-Order Feasibility Cone: Primal-Dual Representation and Efficient Projection
We study the second-order feasibility cone F = {y IRn : My gT y} for given data (M, g). We construct a new representation for this cone and its dual based on the spectral decompo...
Alexandre Belloni, Robert M. Freund
SIAMJO
2008
82views more  SIAMJO 2008»
15 years 6 months ago
Primal-Dual Affine Scaling Interior Point Methods for Linear Complementarity Problems
A first order affine scaling method and two mth order affine scaling methods for solving monotone linear complementarity problems (LCP) are presented. All three methods produce ite...
Florian A. Potra
SIAMJO
2008
143views more  SIAMJO 2008»
15 years 6 months ago
The Proximal Average: Basic Theory
Abstract. The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study th...
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianf...
SIAMJO
2008
85views more  SIAMJO 2008»
15 years 6 months ago
Explicit Reformulations for Robust Optimization Problems with General Uncertainty Sets
We consider a rather general class of mathematical programming problems with data uncertainty, where the uncertainty set is represented by a system of convex inequalities. We prove...
Igor Averbakh, Yun-Bin Zhao