求解双鞍点线性系统的一种改进维数分裂预处理子

An Improved Dimensional Splitting Preconditioner for Solving Double Saddle Point Linear Systems

为了提高维数分裂(DS)预处理子和松弛维数分解(RDF)预处理子的性能,针对双鞍点问题,本文提出了一种改进维数分裂(IDS)预处理子,详细分析了预处理矩阵的谱性质并讨论了最优参数。数值实验结果验证了IDS预处理子的有效性。

In order to improve the performance of dimensional splitting (DS) preconditioner and relaxed dimensional factorization (RDF) preconditioner, an improved dimensional splitting (IDS) preconditioner is proposed for the double saddle point problem. The spectral properties of the preconditioned matrix are analyzed in detail and the optimal parameters are discussed. The effectiveness of IDS preconditioner is verified by numerical experiments.