We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Global optimality conditions for cubic minimization problems with cubic constraints.
- Authors
Zhou, Xue-Gang; Yang, Xiao-Peng; Cao, Bing-Yuan
- Abstract
In this paper, we present global optimality conditions for cubic minimization involving cubic constraints and box or bivalent constraints, where the cubic objective function and cubic constraints contain no cross terms. By utilizing quadratic underestimators, we first derive sufficient global optimality conditions for a global minimizer of cubic minimization problems with cubic inequality and box constraints. Then we establish them for cubic minimization with cubic inequality and bivalent constraints. Finally, we establish sufficient and necessary global optimality condition for cubic minimization with cubic equality and binary constraints.
- Subjects
GLOBAL optimization; MAXIMA &; minima; PROBLEM solving; BINARY number system; MATHEMATICAL inequalities
- Publication
Mathematical Methods of Operations Research, 2015, Vol 82, Issue 3, p243
- ISSN
1432-2994
- Publication type
Article
- DOI
10.1007/s00186-015-0511-3