Block triangular preconditioners for symmetric saddle-point problems
Block triangular preconditioners for symmetric saddle-point problems
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DOI：
10.1016/j.apnum.2003.11.012
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发表时间：
2004-04
影响因子：
2.8
通讯作者：
V. Simoncini
中科院分区：
文献类型：
--
作者：
V. Simoncini
本文研究了一般对称鞍点问题解的块三角预条件子的谱性质和计算性能。我们提供的区域包含非真实的和真实的特征值的估计。此外，我们表明，不定内积可以用来设计一个有效的短期复发Krylov子空间求解器与分析预条件。各种应用问题的数值实验也报告。
In this paper we study the spectral properties and the computational performance of a block triangular preconditioner for the solution of the general symmetric saddle-point problem. We provide estimates for the region containing both the nonreal and the real eigenvalues. Moreover, we show that an indefinite inner product can be employed to devise an efficient short-term recurrence Krylov subspace solver to be used with the analyzed preconditioner. Numerical experiments on a variety of application problems are also reported.