Acta Mathematicae Applicatae Sinica

, Volume 10, Issue 3, pp 302–314

A branch bound method for subset sum problem

  • Wu Shiquan 

DOI: 10.1007/BF02006860

Cite this article as:
Wu, S. Acta Mathematicae Applicatae Sinica (1994) 10: 302. doi:10.1007/BF02006860


This paper indicates the possible difficulties for applying the interior point method to NP-complete problems, transforms an NP-complete problem into a nonconvex quadratic program and then develops some convexity theories for it. Lastly it proposes an algorithm which uses Karmarkar's algorithm as a subroutine. The finite convergence of this algorithm is also proved.

Key words

Subset sum problem nonconvex quadratic program convex envelope interior point method 

Copyright information

© Science Press, Beijing, China and Allerton Press, Inc., New York, U.S.A. 1994

Authors and Affiliations

  • Wu Shiquan 
    • 1
  1. 1.Institute of Applied Mathematicsthe Chinese Academy of SciencesBeijingChina

Personalised recommendations