ZHANG Fan, WANG Jin-lin. The Central Symmetric Solution of the Matrix Equation A×B=C[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(1): 40-45.
Citation: ZHANG Fan, WANG Jin-lin. The Central Symmetric Solution of the Matrix Equation A×B=C[J]. Journal of nanchang hangkong university(Natural science edition), 2009, 23(1): 40-45.

The Central Symmetric Solution of the Matrix Equation A×B=C

  • The central symmetric solutions of the matrix equation A×B=C are studied.Necessary and sufficient condition for the existence of such solution and their general forms are derived by using generalized singular value decomposition.We prove the existence and the uniqueness of the optimal approximate solution and then give the numerical method and numerical experiments.
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