A New Approach to Optimization Under Monotonic Constraint
Journal of Global Optimization
Optimization of Polynomial Fractional Functions
Journal of Global Optimization
Robust Solution of Nonconvex Global Optimization Problems
Journal of Global Optimization
A Revision of the Trapezoidal Branch-and-Bound Algorithm for Linear Sum-of-Ratios Problems
Journal of Global Optimization
Optimization of a Quadratic Function with a Circulant Matrix
Computational Optimization and Applications
A robust algorithm for generalized geometric programming
Journal of Global Optimization
Linked Bernoulli Synopses: Sampling along Foreign Keys
SSDBM '08 Proceedings of the 20th international conference on Scientific and Statistical Database Management
Partially Monotone Networks Applied to Breast Cancer Detection on Mammograms
ICANN '08 Proceedings of the 18th international conference on Artificial Neural Networks, Part I
A nonisolated optimal solution for special reverse convex programming problems
Journal of Computational and Applied Mathematics
Convergent Lagrangian and domain cut method for nonlinear knapsack problems
Computational Optimization and Applications
A nonisolated optimal solution of general linear multiplicative programming problems
Computers and Operations Research
Bargaining over fading interference channels
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
Utility maximization in the multi-user MISO downlink with linear precoding
ICC'09 Proceedings of the 2009 IEEE international conference on Communications
S-MAPEL: monotonic optimization for non-convex joint power control and scheduling problems
IEEE Transactions on Wireless Communications
$${{\mathcal {D}(\mathcal {C})}}$$-optimization and robust global optimization
Journal of Global Optimization
Monotone and partially monotone neural networks
IEEE Transactions on Neural Networks
Monotonic optimization framework for the two-user MISO interference channel
IEEE Transactions on Communications
Weighted sum rate maximization on two user Gaussian interference channels with rate splitting
Asilomar'09 Proceedings of the 43rd Asilomar conference on Signals, systems and computers
Global optimization for the generalized polynomial sum of ratios problem
Journal of Global Optimization
A new topological minimax theorem with application
Journal of Global Optimization
Finding Efficient Solutions by Free Disposal Outer Approximation
SIAM Journal on Optimization
Journal of Global Optimization
Problems with resource allocation constraints and optimization over the efficient set
Journal of Global Optimization
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Problems of maximizing or minimizing monotonic functions of n variables under monotonic constraints are discussed. A general framework for monotonic optimization is presented in which a key role is given to a property analogous to the separation property of convex sets. The approach is applicable to a wide class of optimization problems, including optimization problems dealing with functions representable as differences of increasing functions (d. i. functions).