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Title of Journal: J Glob Optim

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Abbravation: Journal of Global Optimization

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Springer US

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DOI

10.1007/bf01131409

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1573-2916

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Global optimal solutions to a class of quadrinomia

Authors: YB Yuan SC Fang D Y Gao
Publish Date: 2011/02/17
Volume: 52, Issue: 2, Pages: 195-209
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Abstract

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 Rn can be converted into a concave maximization dual problem over a convex set in mathbb R2 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

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  7. On the image space analysis for vector quasi-equilibrium problems with a variable ordering relation
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  10. Variational inclusions problems with applications to Ekeland’s variational principle, fixed point and optimization problems
  11. A branch-and-bound multi-parametric programming approach for non-convex multilevel optimization with polyhedral constraints
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  14. Stability Index Method for Global Minimization
  15. Dynamic sample budget allocation in model-based optimization
  16. On an elliptic Kirchhoff-type problem depending on two parameters
  17. Some constraint qualifications for quasiconvex vector-valued systems
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  19. Global optimization of polynomial-expressed nonlinear optimal control problems with semidefinite programming relaxation
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  21. Minimum vertex cover in ball graphs through local search
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