The common Re-nnd and Re-pd solutions to the matrix equations AX = C and XB = D |
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Authors: | Zhiping XiongYingying Qin |
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Institution: | Department of Mathematics, Wuyi University, Jiangmen 529020, PR China |
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Abstract: | In this article, we consider common Re-nnd and Re-pd solutions of the matrix equations AX = C and XB = D with respect to X, where A, B, C and D are given matrices. We give necessary and sufficient conditions for the existence of common Re-nnd and Re-pd solutions to the pair of the matrix equations and derive a representation of the common Re-nnd and Re-pd solutions to these two equations when they exist. The presented examples show the advantage of the proposed approach. |
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Keywords: | Hermitian part Re-nnd solution Re-pd solution Generalized matrix inverses Matrix rank |
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