On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices
Publish place: Journal of Mathematical Modeling، Vol: 12، Issue: 4
Publish Year: 1403
Type: Journal paper
Language: English
View: 35
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Document National Code:
JR_JMMO-12-4_008
Index date: 19 December 2024
On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices abstract
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.
On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices Keywords:
On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices authors
Davod Khojasteh Salkuyeh
Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
