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Optimal Error Correction and Methods of Feasible Directions

Author

Listed:
  • Saeed Ketabchi

    (University of Guilan)

  • Hossein Moosaei

    (University of Guilan)

Abstract

The main objective of this study is to discuss the optimum correction of linear inequality systems and absolute value equations (AVE). In this work, a simple and efficient feasible direction method will be provided for solving two fractional nonconvex minimization problems that result from the optimal correction of a linear system. We will show that, in some special-but frequently encountered-cases, we can solve convex optimization problems instead of not-necessarily-convex fractional problems. And, by using the method of feasible directions, we solve the optimal correction problem. Some examples are provided to illustrate the efficiency and validity of the proposed method.

Suggested Citation

  • Saeed Ketabchi & Hossein Moosaei, 2012. "Optimal Error Correction and Methods of Feasible Directions," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 209-216, July.
    • Handle: RePEc:spr:joptap:v:154:y:2012:i:1:d:10.1007_s10957-012-0009-6
    DOI: 10.1007/s10957-012-0009-6
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    Cited by:

    1. Hossein Moosaei & Milan Hladík, 2021. "On the Optimal Correction of Infeasible Systems of Linear Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 190(1), pages 32-55, July.
    2. Hossein Moosaei & Saeed Ketabchi & Milan Hladík, 2021. "Optimal correction of the absolute value equations," Journal of Global Optimization, Springer, vol. 79(3), pages 645-667, March.

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