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9 papers · 2 filters
Calmness modulus of linear semi-infinite programs
M. J. Canovas, A. Y. Kruger, M. A. Lopez +2
Our main goal is to compute or estimate the calmness modulus of the argmin mapping of linear semi-infinite optimization problems under canonical perturbations, i.e., perturbations…
Canonical duality for solving general nonconvex constrained problems
Vittorio Latorre, David Y. Gao
This paper presents a canonical duality theory for solving a general nonconvex constrained optimization problem within a unified framework to cover Lagrange multiplier method and K…
About [q]-regularity properties of collections of sets
Alexander Y. Kruger, Nguyen H. Thao
We examine three primal space local Hoelder type regularity properties of finite collections of sets, namely, [q]-semiregularity, [q]-subregularity, and uniform [q]-regularity as w…
Quantitative Characterizations of Regularity Properties of Collections of Sets
Alexander Kruger, Nguyen Hieu Thao
Several primal and dual characterizations of regularity properties of collections of sets in normed linear spaces are discussed. Relationships between regularity properties of coll…
Global Solutions to Nonconvex Optimization of 4th-Order Polynomial and Log-Sum-Exp Functions
Yi Chen, David Y Gao
This paper presents a canonical dual approach for solving a nonconvex global optimization problem governed by a sum of fourth-order polynomial and a log-sum-exp function. Such a pr…
Some preconditioners for systems of linear inequalities
Javier Pena, Vera Roshchina, Negar Soheili
We show that a combination of two simple preprocessing steps would generally improve the conditioning of a homogeneous system of linear inequalities. Our approach is based on a com…