Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

Two Parameter Iteration Methods for Coupled Sylvester Matrix Equations

Year:    2018

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 336–351

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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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

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

East Asian Journal on Applied Mathematics, Vol. 8 (2018), Iss. 2 : pp. 336–351

Published online:    2018-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

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

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