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arXiv 1603.04475math.NAcs.NA
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一种改进的MINRES实现用于监控块系统残差子向量范数

A modified implementation of MINRES to monitor residual subvector norms for block systems

Technische Universität Chemnitz(捷克布杰约维采工业大学);Johann Radon Institute for Computational and Applied Mathematics(约翰·拉德纳计算与应用数学研究所)

Roland Herzog, Kirk M. Soodhalter

AI总结:

本文提出一种改进的MINRES实现,用于监控块系统中残差子向量的范数,相比经典方法节省存储并无需额外预处理。

摘要:

本文提出了一种改进的MINRES实现,用于监控块系统中残差子向量的范数,相比经典方法节省存储并无需额外预处理。

英文摘要:

Saddle-point systems, i.e., structured linear systems with symmetric matrices are considered. A modified implementation of (preconditioned) MINRES is derived which allows to monitor the norms of the subvectors individually. Compared to the implementation from the textbook of [Elman, Sylvester and Wathen, Oxford University Press, 2014], our method requires one extra vector of storage and no additional applications of the preconditioner. Numerical experiments are included.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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