Minimization Problem for Symmetric Orthogonal Anti - Symmetric Matrices
نویسندگان
چکیده
By applying the generalized singular value decomposition and the canonical correlation decomposition simultaneously, we derive an analytical expression of the optimal approximate solution b X, which is both a least-squares symmetric orthogonal anti-symmetric solution of the matrix equation A XA = B and a best approximation to a given matrix X∗. Moreover, a numerical algorithm for finding this optimal approximate solution is described in detail, and a numerical example is presented to show the validity of our algorithm. Mathematics subject classification: 15A24, 65F20, 65F22, 65K10.
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تاریخ انتشار 2007