Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

Authors

  • Changqing Lv & Changfeng Ma

DOI:

https://doi.org/10.4208/eajam.181117.250118b

Keywords:

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

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.

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Published

2018-09-17

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Issue

Vol. 8 No. 2 (2018)

Section

Articles