A preconditioned iteration method for solving sylvester equations

Jituan Zhou, Ruirui Wang*, Qiang Niu

*Corresponding author for this work

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6 Citations (Scopus)


A preconditioned gradient-based iterative method is derived by judicious selection of two auxil- iary matrices. The strategy is based on the Newtons iteration method and can be regarded as a generalization of the splitting iterative method for system of linear equations. We analyze the convergence of the method and illustrate that the approach is able to considerably accelerate the convergence of the gradient-based iterative method.

Original languageEnglish
Article number401059
JournalJournal of Applied Mathematics
Publication statusPublished - 2012

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