Some convergently three-term trust region conjugate gradient algorithms under gradient function non-Lipschitz continuity
Wujie Hu,
Jinzhao Wu,
Gonglin Yuan
Abstract:This paper introduces two three-term trust region conjugate gradient algorithms, TT-TR-WP and TT-TR-CG, which are capable of converging under non-Lipschitz continuous gradient functions without any additional conditions. These algorithms possess sufficient descent and trust region properties, and demonstrate global convergence. In order to assess their numerical performance, we compare them with two classical algorithms in terms of restoring noisy gray-scale and color images as well as solving large-scale unco… Show more
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