4.7 Article

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

Journal

APPLIED MATHEMATICS AND COMPUTATION
Volume 265, Issue -, Pages 68-78

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2015.04.078

Keywords

Generalized coupled Sylvester-conjugate; matrix equation; GPBiCG method; Kronecker product; Vectorization operator; Numerical experiments

Funding

  1. National Natural Science Foundation of China [11071041, 11201074]
  2. Fujian Natural Science Foundation [2015J01578, 2013J01006]
  3. University Special Fund Project of Fujian [JK2013060]

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In this paper, we extend the generalized product-type hi-conjugate gradient (GPBiCG) method for solving the generalized Sylvester-conjugate matrix equations A(1)XB(1) + C-1(Y) over barD(1) = S-1, A(2)(X) over barB(2) + C2YD2 = S-2 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. (C) 2015 Elsevier Inc. All rights reserved.

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