研究对角占优矩阵原位替换解算方法，包括矩阵行列式、矩阵方程未知数和矩阵逆阵的解算。

The calculation methods of diagonally dominant matrix in-situ replacement are researched, including the matrix determinant, the matrix equation unknown and the matrix inversion computation.

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给出了四元数矩阵加权广义逆的表达式，回答了关于四元数矩阵加权（3，4）和（2，4）逆表达式的公开问题。

The expression of the weighted generalized inverse of quaternion matrices are expressed, and the open question on the characterization of the (3,4) and (2,4) inverse are solved.

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本文研究了逆同余产生伪随机数的方法，给出了一般的组合逆同余法算法。

By using inversive congruential method, this paper researches the algorithm to generate pseudo-random Numbers and the general principle for compound inversive congruential method.

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