Multilayer approximate nullspace methods for saddle point systems

Date

2026-01-01

Author

Manguoğlu, Murat
Mehrmann, Volker

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

99
views

0
downloads

We propose a new class of multi-layer iterative schemes for solving sparse linear systems in saddle point structure. The new scheme consists of an iterative preconditioner that is based on the (approximate) nullspace method, combined with an iterative least squares approach and an iterative projection method. We present a theoretical analysis and demonstrate the effectiveness and robustness of the new scheme on sparse matrices from various applications.

Subject Keywords

Approximate nullspace method, Multi-layer iterative method, Saddle point matrix

URI

https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105031409947&origin=inward
https://hdl.handle.net/11511/118975

Journal

Linear Algebra and Its Applications

DOI

https://doi.org/10.1016/j.laa.2026.02.008

Collections

Department of Computer Engineering, Article

Citation Formats

M. Manguoğlu and V. Mehrmann, “Multilayer approximate nullspace methods for saddle point systems,” Linear Algebra and Its Applications, pp. 0–0, 2026, Accessed: 00, 2026. [Online]. Available: https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105031409947&origin=inward.