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Showing 2017 · math.OCShow all
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math.OC2017★ 3 cited
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…
math.OC2017★ 4 cited
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…