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中文摘要：
本文针对非对称正定矩阵提出了一个收敛分裂，给出了分裂收敛的充要条件．在此基础上，提出系数为非对称正定矩阵的线性方程组的二阶段算法，并讨论了算法的收敛条件．最后，通过数值例子展示了算法的有效性．
英文摘要：
In this paper, we come up with a convergent splitting for non-symmetric positive definite matrix, derive sufficient and necessary conditions to guarantee that the splitting is conver- gent. We present two-stage algorithm for solving a non-symmetric positive definite linear systems, and discuss the convergent condition of new algorithm. Finally, numerical examples show that the algorithm can significantly improve the convergence of the iterative method.
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