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On Hermitian and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations

On Hermitian and Skew-Hermitian Splitting Iteration Methods for Continuous Sylvester Equations
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Year:    2011

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 2 : pp. 185–198

Abstract

We present a Hermitian and skew-Hermitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semi-definite matrices. The unconditional convergence of the HSS iteration method is proved and an upper bound on the convergence rate is derived. Moreover, to reduce the computing cost, we establish an inexact variant of the HSS iteration method and analyze its convergence property in detail. Numerical results show that the HSS iteration method and its inexact variant are efficient and robust solvers for this class of continuous Sylvester equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1009-m3152

Journal of Computational Mathematics, Vol. 29 (2011), Iss. 2 : pp. 185–198

Published online:    2011-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Continuous Sylvester equation HSS iteration method Inexact iteration Convergence.

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