Following a recent attempt by Waziri et al. [2019] to find an appropriate choice for the nonnegative parameter of the Hager–Zhang conjugate gradient method, we have proposed two adaptive options for the Hager–Zhang nonnegative parameter by analyzing the search direction matrix. We also used the proposed parameters with the projection technique to solve convex constraint monotone equations. Furthermore, the global convergence of the methods is proved using some proper assumptions. Finally, the efficacy of the proposed methods is demonstrated using a number of numerical examples.

中文翻译：

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基于奇异值分析的改进Hager-Zhang共轭梯度法求解具有凸约束的单调非线性方程组

在 Waziri 最近的尝试之后等。[2019] 为了找到 Hager-Zhang 共轭梯度法的非负参数的合适选择，我们通过分析搜索方向矩阵提出了 Hager-Zhang 非负参数的两个自适应选项。我们还使用所提出的参数和投影技术来求解凸约束单调方程。此外，使用一些适当的假设证明了这些方法的全局收敛性。最后，使用大量数值示例证明了所提出方法的有效性。