J4 ›› 2012, Vol. 47 ›› Issue (4): 121-126.
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LIANG Mao-lin, DAI Li-fang, YANG Xiao-ya
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Abstract:
The least-squares row anti-symmetric solutions of matrix equations AX=B, XC=D on linear manifolds are obtained by using the singular value decomposition. Also, for a given matrix , the unique optimal approximation solution in the least-squares solutions set is derived.
Key words: matrix equations; least-squares solution; row anti-symmetric matrix; singular value decomposition; optimal approximation
LIANG Mao-lin, DAI Li-fang, YANG Xiao-ya. The least-squares solutions and the optimal approximation of the inverse problem for row anti-symmetric matrices on linear manifolds[J].J4, 2012, 47(4): 121-126.
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http://lxbwk.njournal.sdu.edu.cn/EN/Y2012/V47/I4/121
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