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Adaptive Douglas–Rachford Algorithms for Biconvex Optimization Problem in the Finite Dimensional Real Hilbert Spaces

Author

Listed:
  • Ming-Shr Lin

    (Department of Risk Management and Insurance, Feng Chia University, Taichung 407102, Taiwan)

  • Chih-Sheng Chuang

    (Department of Applied Mathematics, National Chiayi University, Chiayi 600355, Taiwan)

Abstract

In this paper, we delve into the realm of biconvex optimization problems, introducing an adaptive Douglas–Rachford algorithm and presenting related convergence theorems in the setting of finite-dimensional real Hilbert spaces. It is worth noting that our approach to proving the convergence theorem differs significantly from those in the literature.

Suggested Citation

  • Ming-Shr Lin & Chih-Sheng Chuang, 2024. "Adaptive Douglas–Rachford Algorithms for Biconvex Optimization Problem in the Finite Dimensional Real Hilbert Spaces," Mathematics, MDPI, vol. 12(23), pages 1-15, November.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:23:p:3785-:d:1533453
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