Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

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Abstract

We consider two parameter iteration methods for the coupled Sylvester matrix equations $$AX+YB=E$$ $$CX+YD=F.$$ Having established the convergence of the algorithms, we discuss the choice of optimal parameters. Numerical examples show the efficiency of the methods.

Keywords:

Coupled Sylvester matrix equation parameter iteration method accelerating algorithm convergence analysis.
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DOI

10.4208/eajam.181117.250118b