Journal of Global Optimization
Complete Solutions and Extremality Criteria to Polynomial Optimization Problems
Journal of Global Optimization
Global optimization for a class of fractional programming problems
Journal of Global Optimization
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This paper studies the canonical duality theory for solving a class of quadrinomial minimization problems subject to one general quadratic constraint. It is shown that the nonconvex primal problem in $${\mathbb {R}^n}$$ can be converted into a concave maximization dual problem over a convex set in $${\mathbb {R}^2}$$ , such that the problem can be solved more efficiently. The existence and uniqueness theorems of global minimizers are provided using the triality theory. Examples are given to illustrate the results obtained.