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• W2023686904 abstract "We derive an analytical expression of the best approximate solution in the least-squares solution set ${mathbb S}_E$ of the matrix equation $AXB+CYD=E$ to a given matrix pair $(X_f, Y_f)$, where A, B, C, D, and E are given matrices of suitable sizes. Our work is based on the projection theorem in the finite-dimensional inner product space, and we use the generalized singular value decomposition and the canonical correlation decomposition. Moreover, we establish a direct method for computing this best approximate solution. An algorithm for finding the best approximate solution is described in detail, and an example is used to show the feasibility and effectiveness of our algorithm." @default.
• W2023686904 created "2016-06-24" @default.
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• W2023686904 date "2005-01-01" @default.
• W2023686904 modified "2023-10-17" @default.
• W2023686904 title "Best Approximate Solution of Matrix Equation AXB+CYD=E" @default.
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• W2023686904 doi "https://doi.org/10.1137/040615791" @default.
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