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Global solutions to fractional programming problem with ratio of nonconvex functions

Ruan, N.; Gao, D.Y.


This paper presents a canonical dual approach for minimizing a sum of quadratic function and a ratio of nonconvex functions in Rⁿ. By introducing a parameter, the problem is first equivalently reformed as a nonconvex polynomial minimization with elliptic constraint. It is proved that under certain conditions, the canonical dual is a concave maximization problem in R² that exhibits no duality gap. Therefore, the global optimal solution of the primal problem can be obtained by solving the...[Show more]

CollectionsANU Research Publications
Date published: 2015-03-15
Type: Journal article
Source: Applied Mathematics and Computation
DOI: 10.1016/j.amc.2014.08.060


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