A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems

Hongyu Wu and Shuhuang Xiang

Applied Mathematics and Computation, 2021, vol. 396, issue C

Abstract: For the non-Hermitian generalized saddle point problems, we propose a new constraint preconditioner. The new constraint preconditioner is constructed based on the preconditioned generalized shift-splitting (PGSS) iteration method. We also analyze the invertibility condition of the new preconditioner in detail. Moreover, the convergence properties of the new constraint preconditioning iteration method are derived. Finally, the effectiveness of the proposed preconditioner is illustrated by numerical experiments.

Keywords: Saddle point problems; Constraint preconditioner; Iteration method; Convergence (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:396:y:2021:i:c:s0096300320308171

DOI: 10.1016/j.amc.2020.125864

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