论文标题

通过放松的安德森加速度来解决多线性系统

Restarted Nonnegativity Preserving Tensor Splitting Methods via Relaxed Anderson Acceleration for Solving Multi-linear Systems

论文作者

Liu, Dongdong Liu Ting Hua nd Xifu

论文摘要

多线性系统在实际问题的科学计算中起着重要作用。在本文中,我们考虑了一种张量分裂方法,该方法具有轻松的安德森加速度来解决多线性系统。新方法可保留每个迭代步骤的非关节性,并改善现有的步骤。此外,给出了提出方法的收敛分析。新算法对于数值实验有效。

Multilinear systems play an important role in scientific calculations of practical problems. In this paper, we consider a tensor splitting method with a relaxed Anderson acceleration for solving multilinear systems. The new method preserves nonnegativity for every iterative step and improves the existing ones. Furthermore, the convergence analysis of the proposed method is given. The new algorithm performs effectively for numerical experiments.

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