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Least-square Solutions of Inverse Problems for Anti-symmetric and Skew-symmetric Matrices

Least-square Solutions of Inverse Problems for Anti-symmetric and Skew-symmetric Matrices
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摘要 The least-square solutions of inverse problem for anti-symmetric and skew-symmetric matrices are studied. In addition, the problem of using anti-symmetric and skew-symmetric matrices to construct the optimal approximation to a given matrix is discussed, the necessary and sufficient conditions for the problem are derived, and the expression of the solution is provided. A numerical example is given to show the effectiveness of the proposed method. The least-square solutions of inverse problem for anti-symmetric and skew-symmetric matrices are studied. In addition, the problem of using anti-symmetric and skew-symmetric matrices to construct the optimal approximation to a given matrix is discussed, the necessary and sufficient conditions for the problem are derived, and the expression of the solution is provided. A numerical example is given to show the effectiveness of the proposed method.
作者 周硕 吴柏生
出处 《Northeastern Mathematical Journal》 CSCD 2007年第3期189-199,共11页 东北数学(英文版)
基金 The NNSF(10472037)of China.
关键词 anti-symmetric and skew-symmetric matrix matrix norm optimal approximation canonical correlation decomposition anti-symmetric and skew-symmetric matrix, matrix norm, optimal approximation, canonical correlation decomposition
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