Monotonic Optimization: Problems and Solution Approaches
SIAM Journal on Optimization
Deterministic Global Optimization: Theory, Methods and (NONCONVEX OPTIMIZATION AND ITS APPLICATIONS Volume 37) (Nonconvex Optimization and Its Applications)
A robust algorithm for generalized geometric programming
Journal of Global Optimization
$${{\mathcal {D}(\mathcal {C})}}$$-optimization and robust global optimization
Journal of Global Optimization
Global optimization for the generalized polynomial sum of ratios problem
Journal of Global Optimization
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The concept of 驴-approximate optimal solution as widely used in nonconvex global optimization is not quite adequate, because such a point may correspond to an objective function value far from the true optimal value, while being infeasible. We introduce a concept of essential 驴-optimal solution, which gives a more appropriate approximate optimal solution, while being stable under small perturbations of the constraints. A general method for finding an essential 驴-optimal solution in finitely many steps is proposed which can be applied to d.c. programming and monotonic optimization.