Least squares Hermitian solution of the complex matrix equation AXB+CXD=E with the least norm |
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| Authors: | Shifang Yuan Anping Liao |
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| Institution: | 1. School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, PR China;2. College of Mathematics and Econometrics, Hunan University, Changsha 410082, PR China |
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| Abstract: | In this paper, a new method is presented to solve the least squares Hermitian problem of the complex matrix equation AXB+CXD=E. The explicit expression of least squares Hermitian solution with the least norm is given. The least squares Hermitian solution with the least norm of complex matrix equation AXB=E is also derived. Numerical algorithms and numerical examples show the feasibility of our method. |
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