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.
Khojasteh Salkuyeh, D. (2024). On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices. Journal of Mathematical Modeling, 12(4), 723-732. doi: 10.22124/jmm.2024.27939.2458
MLA
Davod Khojasteh Salkuyeh. "On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices". Journal of Mathematical Modeling, 12, 4, 2024, 723-732. doi: 10.22124/jmm.2024.27939.2458
HARVARD
Khojasteh Salkuyeh, D. (2024). 'On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices', Journal of Mathematical Modeling, 12(4), pp. 723-732. doi: 10.22124/jmm.2024.27939.2458
VANCOUVER
Khojasteh Salkuyeh, D. On the preconditioning of the Schur complement matrix of a class of two-by-two block matrices. Journal of Mathematical Modeling, 2024; 12(4): 723-732. doi: 10.22124/jmm.2024.27939.2458
)