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- University of NamurBE75 papers
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4 papers · 1 filter
Adaptive Regularization Minimization Algorithms with Non-Smooth Norms and Euclidean Curvature
Serge Gratton, Philippe L. Toint
A regularization algorithm (AR1pGN) for unconstrained nonlinear minimization is considered, which uses a model consisting of a Taylor expansion of arbitrary degree and regularizati…
An algorithm for optimization with disjoint linear constraints and its application for predicting rain
Tijana Janjic, Yvonne Ruckstuhl, Philippe L. Toint
A specialized algorithm for quadratic optimization (QO, or, formerly, QP) with disjoint linear constraints is presented. In the considered class of problems, a subset of variables…
Optimality of orders one to three and beyond: characterization and evaluation complexity in constrained nonconvex optimization
C. Cartis, N. I. M. Gould, Ph. L. Toint
Necessary conditions for high-order optimality in smooth nonlinear constrained optimization are explored and their inherent intricacy discussed. A two-phase minimization algorithm…
Partially separable convexly-constrained optimization with non-Lipschitzian singularities and its complexity
Xiaojun Chen, Philippe Toint, Hong Wang
An adaptive regularization algorithm using high-order models is proposed for partially separable convexly constrained nonlinear optimization problems whose objective function conta…