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2011

On preconditioned MHSS iteration methods for complex symmetric linear systems

8 years 1 months ago
On preconditioned MHSS iteration methods for complex symmetric linear systems
We propose a preconditioned variant of the modified HSS (MHSS) iteration method for solving a class of complex symmetric systems of linear equations. Under suitable conditions, we prove the convergence of the preconditioned MHSS (PMHSS) iteration method and discuss the spectral properties of the PMHSS-preconditioned matrix. Numerical implementations show that the resulting PMHSS preconditioner leads to fast convergence when it is used to precondition Krylov subspace iteration methods such as GMRES and its restarted variants. In particular, both the stationary PMHSS iteration and PMHSS-preconditioned GMRES show meshsize-independent and parameter-insensitive convergence behavior for the tested numerical examples.
Zhong-Zhi Bai, Michele Benzi, Fang Chen
Added 14 May 2011
Updated 14 May 2011
Type Journal
Year 2011
Where NA
Authors Zhong-Zhi Bai, Michele Benzi, Fang Chen
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