Two block triangular preconditioners for asymmetric saddle point problems

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• 作者：Cui-Xia Li ^{lixiatk@126.com" class="auth_mail" title="E-mail the corresponding author} ; Shi-Liang Wu ; ^{wushiliang1999@126.com" class="auth_mail" title="E-mail the corresponding author} ; ^{slwu@aynu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Block triangular preconditioner ; Saddle point problems ; Nullity ; Augmentation ; Krylov subspace method
• 刊名：Applied Mathematics and Computation
• 出版年：2015
• 出版时间：15 October 2015
• 年：2015
• 卷：269
• 期：Complete
• 页码：456-463
• 全文大小：276 K

文摘

In this paper, two block triangular preconditioners for the asymmetric saddle point problems with singular (1,1) block are presented. The spectral characteristics of the preconditioned matrices are discussed in detail. Theoretical analysis shows that all the eigenvalues of the preconditioned matrices are strongly clustered. Numerical experiments are reported to the efficiency of the proposed preconditioners.