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中文摘要：
在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨．采用奇异值分解法，利用奇异值分解得到的正交矩阵，将奇异矩阵转化为非奇异矩阵，然后利用精细积分法进行求解，最后通过转换矩阵得到原奇异问题的解．数值算例表明，该方法简单易行，并保持了精细算法的优点．
英文摘要：
Based on the original precise integration method, the problem that singular matrix appeares in non homogeneous equation was discussed. By using singular value decomposition, the orthogonal matrixes are derived. The singular matrix can be transformed to nonsingular matrix by those orthogonal matrixes. Then the precise integration method can be used, and the results of singular matrix are derived. The numerical results demonstrate that this method gives a better way to solve such kind of problems as well as keeping the advantages of precise algorithm.
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