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Least-Squares Solution with the Minimum-Norm for the Matrix Equation (AXB, GXH) = (C, D)

廖安平AN-PING LIAO* AND YUAN LEI

Computers and Mathematms with Apphcatmns 50(2005)539-549,-0001,():

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摘要/描述

Based on the projection theorem m Hfibert space, by making use of the generahzed singular value decompomtion and the canomcal correlation decomposition, an analytical expression of the least-squares solutmn for the matrix equatmn (AXB, GXH)=(C, D) with the minimum-norm is derived An algorithm for finding the minimum-norm solutmn is described and some numerical results have been given

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