A general class of constraint preconditioners for generalized saddle point linear systems

Hong-Yu Wu

Applied Mathematics and Computation, 2025, vol. 489, issue C

Abstract: We propose a general class of constraint preconditioners for solving generalized saddle point linear systems, derived from a general matrix splitting of the (1,1) block of the coefficient matrix. This new constraint preconditioner can not only reduce to some existing constraint preconditioners, but also induce new constraint preconditioners under some certain matrix splitting schemes. Then we present invertibility conditions of the proposed constraint preconditioner and establish the convergence analysis of the corresponding constraint preconditioning iteration method. Numerical examples are provided to confirm that the proposed preconditioner outperforms existing ones when suitable matrix splitting schemes are chosen.

Keywords: Generalized saddle point linear system; Constraint preconditioner; Matrix splitting; Iteration method (search for similar items in EconPapers)
Date: 2025
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S009630032400609X
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:489:y:2025:i:c:s009630032400609x

DOI: 10.1016/j.amc.2024.129148

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().