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文章构造了杂交HS-RMIL型搜索方向，结合经典线搜索机制与先进投影技术，得到具有全局收敛性的新算法.数值实验结果表明，该算法在求解大规模凸约束非线性方程组及图像去噪问题时，展现出优异的计算效率与较强的综合竞争力.
Abstract：This paper constructs a hybrid HS-RMIL-type search direction, integrates classical line search mechanisms with advanced projection techniques, and develops a novel algorithm with global convergence properties. Numerical experimental results demonstrate that the algorithm exhibits excellent computational efficiency and strong overall competitiveness when solving large-scale convex constrained nonlinear equations and addressing image denoising problems.
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基本信息:
DOI：10.19926/j.cnki.issn.1674-232X.2024.09.201
中图分类号:O224;TP391.41
引用信息:
[1]夏艳,李远飞,李丹丹.凸约束方程组的HS-RMIL型共轭梯度算法及其图像去噪应用[J].杭州师范大学学报(自然科学版),2026,25(01):88-93.DOI:10.19926/j.cnki.issn.1674-232X.2024.09.201.
基金信息:
国家自然科学基金项目(11661009); 广西自然科学基金项目(2024GXNSFAA010478); 广州华商学院导师制项目(2024HSDS28)
2026-01-30
2026-01-30