## Modified HSS iteration methods for a class of complex symmetric linear systems.(English)Zbl 1210.65074

The authors present a modification of the Hermitian and skew-Hermitian splitting (HSS) iteration, which consists in the fact that solution of linear system with coefficient matrix $$\alpha I +$$ i $$T$$ is avoided and only two linear sub-systems with real symmetric and positive definite matrices $$\alpha I + W$$ and $$\alpha I + T$$ are solved at each step. They prove that this modified HSS iteration is unconditionally convergent.

### MSC:

 65F10 Iterative numerical methods for linear systems 65F50 Computational methods for sparse matrices 65F08 Preconditioners for iterative methods
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### References:

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