Journal of applied mathematics & informatics

한국전산응용수학회 (The Korean Society for Computational and Applied Mathematics)
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A FULL-NEWTON STEP INFEASIBLE INTERIOR-POINT ALGORITHM FOR LINEAR PROGRAMMING BASED ON A SELF-REGULAR PROXIMITY

  • Liu, Zhongyi (College of Science, Hohai University) ;
  • Chen, Yue (Jincheng College, Nanjing University of Aeronautics and Astronautics)
  • 투고 : 2010.04.14
  • 심사 : 2010.06.21
  • 발행 : 2011.01.30
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초록

This paper proposes an infeasible interior-point algorithm with full-Newton step for linear programming. We introduce a special self-regular proximity to induce the feasibility step and also to measure proximity to the central path. The result of polynomial complexity coincides with the best-known iteration bound for infeasible interior-point methods, namely, O(n log n/${\varepsilon}$).

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참고문헌

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