A projected PRP conjugate gradient method for constrained multiobjective optimization with application to friction stir welding

Kaiping Liu and Jiawei Chen

Mathematics and Computers in Simulation (MATCOM), 2026, vol. 244, issue C, 70-89

Abstract: Based on the projected combined search direction, a novel projected Polak–Ribière–Polyak (PRP) conjugate gradient method is presented for constrained multiobjective optimization problems. The search direction generated by the proposed method satisfies the sufficient descent condition by adopting the truncation technique, which overcomes the operational challenges caused by nonlinear projection operators. Moreover, we establish the convergence of the proposed method without any convex assumptions, and apply the proposed method to address the multiobjective optimization problem in the friction stir welding process. Finally, numerical experiments show that the proposed method is not only of higher performance but also more suitable for solving multimodal multiobjective optimization problems.

Keywords: Constrained multiobjective optimization problem; Projected PRP conjugate gradient method; Convergence analysis; Friction stir welding (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:244:y:2026:i:c:p:70-89

DOI: 10.1016/j.matcom.2025.12.014

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