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

Ming-Shr Lin () and Chih-Sheng Chuang
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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

Mathematics, 2024, vol. 12, issue 23, 1-15

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.

Keywords: biconvex optimization problem; regularized optimization problem; Douglas–Rachford algorithm; adaptive algorithm (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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