On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices

被引：0

作者：

Salkuyeh, Davod Khojasteh ^{[1
]}

机构：

[1] Univ Guilan, Fac Math Sci, Rasht, Iran

来源：

JOURNAL OF MATHEMATICAL MODELING | 2024年 / 12卷 / 04期

关键词：

Preconditioner; GMRES; finite element; PDE-constrained; optimization; Schur complement; HERMITIAN SPLITTING METHODS; LINEAR-SYSTEMS;

D O I：

10.22124/jmm.2024.27939.2458

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a class of two-by-two block complex system of linear equations obtained from finite element discretization of the distributed optimal control with time-periodic parabolic equations. Using the Schur complement technique we transform the obtained system to two subsystems. We propose a preconditioner to the subsystem with the Schur complement matrix. Spectral properties of the preconditioned matrix are analyzed. Some numerical results are presented to show the effectiveness of the preconditioner.

引用

页码：723 / 732

页数：10

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