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OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB = C OVER SYMMETRIC MATRICES 被引量:3

OPTIMAL APPROXIMATE SOLUTION OF THE MATRIX EQUATION AXB = C OVER SYMMETRIC MATRICES
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摘要 Let SE denote the least-squares symmetric solution set of the matrix equation A×B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition. Let SE denote the least-squares symmetric solution set of the matrix equation A×B = C, where A, B and C are given matrices of suitable size. To find the optimal approximate solution in the set SE to a given matrix, we give a new feasible method based on the projection theorem, the generalized SVD and the canonical correction decomposition.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2007年第5期543-552,共10页 计算数学(英文)
基金 The work of this author was supported in part by Natural Science Foundation of Hunan Province (No. 03JJY6028).
关键词 Least-squares solution Optimal approximate solution Generalized singular value decomposition Canonical correlation decomposition. Least-squares solution, Optimal approximate solution, Generalized singular value decomposition, Canonical correlation decomposition.
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