On semi-convergence of parameterized SHSS method for a class of singular complex symmetric linear systems

On semi-convergence of parameterized SHSS method for a class of singular complex symmetric linear systems

In this paper, we use the parameterized single-step HSS (P-SHSS) iterative method to solve a broad class of singular complex symmetric linear systems. The semi-convergence properties of the P-SHSS method are derived under suitable conditions. Moreover, some properties of the preconditioned matrix an...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2019-01, Vol.77 (2), p.466-475
Hauptverfasser: Li, Cheng-Liang, Ma, Chang-Feng
Format: Artikel
Sprache:eng
Schlagworte:
Complex linear systems
Convergence
Iterative method
Iterative methods
Linear systems
Parameterization
Preconditioning
Semi-convergence
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Zusammenfassung:In this paper, we use the parameterized single-step HSS (P-SHSS) iterative method to solve a broad class of singular complex symmetric linear systems. The semi-convergence properties of the P-SHSS method are derived under suitable conditions. Moreover, some properties of the preconditioned matrix and the optimal parameters are analyzed in detail. Numerical experiments are given to support our theoretical results and show the effectiveness of the P-SHSS method either as a solver or as a preconditioner.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2018.09.050