Journal of Global Optimization

, Volume 32, Issue 3, pp 349–365 | Cite as

On Solving Nonconvex Optimization Problems by Reducing The Duality Gap

  • Hoang TuyEmail author


Lagrangian bounds, i.e. bounds computed by Lagrangian relaxation, have been used successfully in branch and bound bound methods for solving certain classes of nonconvex optimization problems by reducing the duality gap. We discuss this method for the class of partly linear and partly convex optimization problems and, incidentally, point out incorrect results in the recent literature on this subject.


Branch and bound algorithm Convergence conditions Dual bound Lagrangian bound Partly convex programming Partly linear 


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Copyright information

© Springer 2005

Authors and Affiliations

  1. 1.Institute of MathematicsHanoiVietnam

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