The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations

Ya-Jun Xie and Chang-Feng Ma

Applied Mathematics and Computation, 2015, vol. 265, issue C, 68-78

Abstract: In this paper, we extend the generalized product-type bi-conjugate gradient (GPBiCG) method for solving the generalized Sylvester-conjugate matrix equations A1XB1+C1Y¯D1=S1,A2X¯B2+C2YD2=S2 by the real representation of the complex matrix and the properties of Kronecker product and vectorization operator. Some numerical experiments demonstrate that the introduced iteration approach is efficient.

Keywords: Generalized coupled Sylvester-conjugate matrix equation; GPBiCG method; Kronecker product; Vectorization operator; Numerical experiments (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:68-78

DOI: 10.1016/j.amc.2015.04.078

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