The MGPBiCG method for solving the generalized coupled Sylvester-conjugate matrix equations
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摘要
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.
论文关键词：Generalized coupled Sylvester-conjugate matrix equation,GPBiCG method,Kronecker product,Vectorization operator,Numerical experiments
论文评审过程：Received 9 January 2015, Revised 12 April 2015, Accepted 18 April 2015, Available online 22 May 2015, Version of Record 22 May 2015.
论文官网地址：https://doi.org/10.1016/j.amc.2015.04.078
