The least-squares solutions of inverse problems of W-para-anti-symmetric matrix on the linear manifold is discussed,and the general expressions of the solution are obtained.Moreover,for the special case of the least-squares problems,the necessary and sufficient conditions for the solvability and the general solution of this problems are given.%研究了线性流形上W反对称矩阵反问题的最小二乘解及其逼近问题,给出了最小二乘解的一般表达式,并就该问题的特殊情况——矩阵反问题,获得了有解的充分必要条件,在有解的条件下得到了解的一段表达式.
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