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Complex Fractional Programming and the Charnes-Cooper Transformation

Author

Listed:
  • J. C. Chen

    (National Chia-Yi University)

  • H. C. Lai

    (Chung-Yuan Christian University)

  • S. Schaible

    (University of California)

Abstract

We extend the Charnes-Cooper transformation to complex fractional programs involving continuous complex functions and analytic functions. Such problems are shown to be equivalent to nonfractional complex programming problems. This technique is employed also to reduce complex linear fractional programs to complex linear programs. More generally, it can be shown that complex convex-concave fractional programming problems are equivalent to complex convex nonfractional programs using the generalized Charnes-Cooper transformation.

Suggested Citation

  • J. C. Chen & H. C. Lai & S. Schaible, 2005. "Complex Fractional Programming and the Charnes-Cooper Transformation," Journal of Optimization Theory and Applications, Springer, vol. 126(1), pages 203-213, July.
    • Handle: RePEc:spr:joptap:v:126:y:2005:i:1:d:10.1007_s10957-005-2669-y
    DOI: 10.1007/s10957-005-2669-y
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    Cited by:

    1. H. C. Lai & J. C. Liu & S. Schaible, 2008. "Complex Minimax Fractional Programming of Analytic Functions," Journal of Optimization Theory and Applications, Springer, vol. 137(1), pages 171-184, April.
    2. Laura Carosi & Laura Martein, 2008. "A sequential method for a class of pseudoconcave fractional problems," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 16(2), pages 153-164, June.
    3. Hang-Chin Lai & Hui-Mei Chen, 2012. "Duality on a nondifferentiable minimax fractional programming," Journal of Global Optimization, Springer, vol. 54(2), pages 295-306, October.
    4. Jiawei Chen & Suliman Al-Homidan & Qamrul Hasan Ansari & Jun Li & Yibing Lv, 2021. "Robust Necessary Optimality Conditions for Nondifferentiable Complex Fractional Programming with Uncertain Data," Journal of Optimization Theory and Applications, Springer, vol. 189(1), pages 221-243, April.

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