本文给出了广义对称（反对称）矩阵和广义正交矩阵的概念，讨论了它们的性质及相互之间的关系。

This paper defines the generalized symmetric matrix and orthogonal matrix and discusses their properties and relations between them.

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先得到计算矩阵的广义逆的一种有效算法，即正交反向传播（OBP）算法，利用OBP 算法，经有限次迭代即可以得到矩阵广义逆的精确解。

We first get an effective algorithm for generalized inversion of a matrix, i. e. OBP algorithm. The exact generalized inversion of a matrix is obtained after finite steps by using OBP algorithm.

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