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On optimal zero-preserving corrections for inconsistent linear systems

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  • Paula Amaral
  • Luís Fernandes
  • Joaquim Júdice
  • Hanif Sherali

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  • Paula Amaral & Luís Fernandes & Joaquim Júdice & Hanif Sherali, 2009. "On optimal zero-preserving corrections for inconsistent linear systems," Computational Optimization and Applications, Springer, vol. 45(4), pages 645-666, December.
  • Handle: RePEc:spr:coopap:v:45:y:2009:i:4:p:645-666
    DOI: 10.1007/s10898-009-9403-5
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    References listed on IDEAS

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    1. Harvey J. Greenberg & Frederic H. Murphy, 1991. "Approaches to Diagnosing Infeasible Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 3(3), pages 253-261, August.
    2. James E. Falk & Richard M. Soland, 1969. "An Algorithm for Separable Nonconvex Programming Problems," Management Science, INFORMS, vol. 15(9), pages 550-569, May.
    3. Olivier Guieu & John W. Chinneck, 1999. "Analyzing Infeasible Mixed-Integer and Integer Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 11(1), pages 63-77, February.
    4. Harvey J. Greenberg, 1993. "How to Analyze the Results of Linear Programs—Part 3: Infeasibility Diagnosis," Interfaces, INFORMS, vol. 23(6), pages 120-139, December.
    5. Chakravarti, Nilotpal, 1994. "Some results concerning post-infeasibility analysis," European Journal of Operational Research, Elsevier, vol. 73(1), pages 139-143, February.
    6. John W. Chinneck & Erik W. Dravnieks, 1991. "Locating Minimal Infeasible Constraint Sets in Linear Programs," INFORMS Journal on Computing, INFORMS, vol. 3(2), pages 157-168, May.
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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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