论文标题
贪婪的封顶非线性kaczmarz方法
Greedy capped nonlinear Kaczmarz methods
论文作者
论文摘要
为了解决非线性问题，我们通过设置限制的阈值并引入了选择Jacobian矩阵的一行来构建两种贪婪的封顶非线性Kaczmarz方法。限制的阈值和概率标准主要由最大残差和最大距离规则确定。还提供了新方法的块版本。我们提供了这些方法的收敛分析，其数值结果表现良好。
To solve nonlinear problems, we construct two kinds of greedy capped nonlinear Kaczmarz methods by setting a capped threshold and introducing an effective probability criterion for selecting a row of the Jacobian matrix. The capped threshold and probability criterion are mainly determined by the maximum residual and maximum distance rules. The block versions of the new methods are also presented. We provide the convergence analysis of these methods and their numerical results behave quite well.
