LU decomposition is a triangular decomposition approach of non-singular matrix, and the digital image can be seen as a matrix.
LU分解是一种将非奇异矩阵进行三角分解的方法，而数字图像也可以看作矩阵。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
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。
Necessary cycle detection is added to avoid the singular matrix appearing after gross error compensation,. Simulation results verify the effectiveness of modified algorithm.
通过加入必要的回路检测，避免了幅度补偿后矩阵奇异性的产生，仿真结果表明了改进算法的有效性。
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