An Approximation Approach to Non-strictly Convex Quadratic Semi-infinite Programming

  • Authors:
  • S. Ito;Y. Liu;K. L. Teo

  • Affiliations:
  • The Institute of Statistical Mathematics, Tokyo, Japan 106-8569;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong;Department of Applied Mathematics, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

  • Venue:
  • Journal of Global Optimization
  • Year:
  • 2004

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Abstract

We present in this paper a numerical method for solving non-strictly-convex quadratic semi-infinite programming including linear semi-infinite programming. The proposed method transforms the problem into a series of strictly convex quadratic semi-infinite programming problems. Several convergence results and a numerical experiment are given.